Processing math: 100%

edit this map or download as text // json
Identifier
Mp00160: Permutations —graph of inversions⟶ Graphs
Images
[] => ([],0)
[1] => ([],1)
[1,2] => ([],2)
[2,1] => ([(0,1)],2)
[1,2,3] => ([],3)
[1,3,2] => ([(1,2)],3)
[2,1,3] => ([(1,2)],3)
[2,3,1] => ([(0,2),(1,2)],3)
[3,1,2] => ([(0,2),(1,2)],3)
[3,2,1] => ([(0,1),(0,2),(1,2)],3)
[1,2,3,4] => ([],4)
[1,2,4,3] => ([(2,3)],4)
[1,3,2,4] => ([(2,3)],4)
[1,3,4,2] => ([(1,3),(2,3)],4)
[1,4,2,3] => ([(1,3),(2,3)],4)
[1,4,3,2] => ([(1,2),(1,3),(2,3)],4)
[2,1,3,4] => ([(2,3)],4)
[2,1,4,3] => ([(0,3),(1,2)],4)
[2,3,1,4] => ([(1,3),(2,3)],4)
[2,3,4,1] => ([(0,3),(1,3),(2,3)],4)
[2,4,1,3] => ([(0,3),(1,2),(2,3)],4)
[2,4,3,1] => ([(0,3),(1,2),(1,3),(2,3)],4)
[3,1,2,4] => ([(1,3),(2,3)],4)
[3,1,4,2] => ([(0,3),(1,2),(2,3)],4)
[3,2,1,4] => ([(1,2),(1,3),(2,3)],4)
[3,2,4,1] => ([(0,3),(1,2),(1,3),(2,3)],4)
[3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4)
[3,4,2,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[4,1,2,3] => ([(0,3),(1,3),(2,3)],4)
[4,1,3,2] => ([(0,3),(1,2),(1,3),(2,3)],4)
[4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4)
[4,2,3,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[1,2,3,4,5] => ([],5)
[1,2,3,5,4] => ([(3,4)],5)
[1,2,4,3,5] => ([(3,4)],5)
[1,2,4,5,3] => ([(2,4),(3,4)],5)
[1,2,5,3,4] => ([(2,4),(3,4)],5)
[1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5)
[1,3,2,4,5] => ([(3,4)],5)
[1,3,2,5,4] => ([(1,4),(2,3)],5)
[1,3,4,2,5] => ([(2,4),(3,4)],5)
[1,3,4,5,2] => ([(1,4),(2,4),(3,4)],5)
[1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5)
[1,3,5,4,2] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,4,2,3,5] => ([(2,4),(3,4)],5)
[1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5)
[1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5)
[1,4,3,5,2] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5)
[1,4,5,3,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,5,3,4,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,4,3,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,1,3,4,5] => ([(3,4)],5)
[2,1,3,5,4] => ([(1,4),(2,3)],5)
[2,1,4,3,5] => ([(1,4),(2,3)],5)
[2,1,4,5,3] => ([(0,1),(2,4),(3,4)],5)
[2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5)
[2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5)
[2,3,1,4,5] => ([(2,4),(3,4)],5)
[2,3,1,5,4] => ([(0,1),(2,4),(3,4)],5)
[2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5)
[2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5)
[2,3,5,1,4] => ([(0,4),(1,4),(2,3),(3,4)],5)
[2,3,5,4,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,1,3,5] => ([(1,4),(2,3),(3,4)],5)
[2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5)
[2,4,3,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[2,4,3,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,5,1,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,4,5,3,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5)
[2,5,1,4,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[2,5,3,1,4] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[2,5,3,4,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,5,4,1,3] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[2,5,4,3,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,1,2,4,5] => ([(2,4),(3,4)],5)
[3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5)
[3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5)
[3,1,4,5,2] => ([(0,4),(1,4),(2,3),(3,4)],5)
[3,1,5,2,4] => ([(0,4),(1,3),(2,3),(2,4)],5)
[3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5)
[3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5)
[3,2,4,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[3,2,4,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[3,2,5,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
[3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5)
[3,4,1,5,2] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,4,2,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,4,2,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,4,5,1,2] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[3,4,5,2,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
>>> Load all 38771 entries. <<<
[3,5,1,4,2] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[3,5,2,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[3,5,4,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[3,5,4,2,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5)
[4,1,2,5,3] => ([(0,4),(1,4),(2,3),(3,4)],5)
[4,1,3,2,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[4,1,3,5,2] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[4,1,5,2,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[4,1,5,3,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[4,2,1,3,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[4,2,1,5,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[4,2,3,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,2,3,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[4,2,5,3,1] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[4,3,1,2,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[4,3,2,1,5] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,3,2,5,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[4,3,5,2,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[4,5,1,3,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[4,5,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[4,5,2,3,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
[4,5,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
[4,5,3,2,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5)
[5,1,2,4,3] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,3,2,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,3,4,2] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,4,2,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,4,3,2] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
[5,2,3,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,3,4,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,4,3,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,3,1,4,2] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,3,2,4,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
[5,3,4,2,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,1,3,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,2,3,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,2,3,4,5,6] => ([],6)
[1,2,3,4,6,5] => ([(4,5)],6)
[1,2,3,5,4,6] => ([(4,5)],6)
[1,2,3,5,6,4] => ([(3,5),(4,5)],6)
[1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[1,2,4,3,5,6] => ([(4,5)],6)
[1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[1,2,4,5,3,6] => ([(3,5),(4,5)],6)
[1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6)
[1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6)
[1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6)
[1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,2,4,5,6] => ([(4,5)],6)
[1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6)
[1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6)
[1,3,4,2,5,6] => ([(3,5),(4,5)],6)
[1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6)
[1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6)
[1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[1,3,4,6,5,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6)
[1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6)
[1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,4,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,3,5,6,4,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[1,3,6,4,2,5] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,6,4,5,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,5,2,4] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,6,5,4,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6)
[1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6)
[1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6)
[1,4,2,6,5,3] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6)
[1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,4,3,5,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[1,4,3,6,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,3,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,6,3,2,5] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,6,3,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,5,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,6,5,3,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6)
[1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,5,2,6,4,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,4,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,5,3,6,4,2] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,2,6,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,3,6,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,6,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,4,6,3,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,5,4,3] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,5,4,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,3,2,5] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,3,5,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,4,5,6] => ([(4,5)],6)
[2,1,3,4,6,5] => ([(2,5),(3,4)],6)
[2,1,3,5,4,6] => ([(2,5),(3,4)],6)
[2,1,3,5,6,4] => ([(1,2),(3,5),(4,5)],6)
[2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6)
[2,1,4,3,5,6] => ([(2,5),(3,4)],6)
[2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6)
[2,1,4,5,3,6] => ([(1,2),(3,5),(4,5)],6)
[2,1,4,5,6,3] => ([(0,1),(2,5),(3,5),(4,5)],6)
[2,1,4,6,3,5] => ([(0,1),(2,5),(3,4),(4,5)],6)
[2,1,4,6,5,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6)
[2,1,5,3,6,4] => ([(0,1),(2,5),(3,4),(4,5)],6)
[2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6)
[2,1,5,4,6,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,5,6,4,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,3,4,5] => ([(0,1),(2,5),(3,5),(4,5)],6)
[2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,4,5,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,1,4,5,6] => ([(3,5),(4,5)],6)
[2,3,1,4,6,5] => ([(1,2),(3,5),(4,5)],6)
[2,3,1,5,4,6] => ([(1,2),(3,5),(4,5)],6)
[2,3,1,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6)
[2,3,1,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6)
[2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6)
[2,3,4,1,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6)
[2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,6,1,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,3,4,6,5,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,1,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[2,3,5,1,6,4] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,3,5,4,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,4,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,6,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,5,6,4,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[2,3,6,1,5,4] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[2,3,6,4,1,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,3,6,4,5,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,5,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,3,6,5,4,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,3,5,6] => ([(2,5),(3,4),(4,5)],6)
[2,4,1,3,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6)
[2,4,1,5,3,6] => ([(1,5),(2,4),(3,4),(3,5)],6)
[2,4,1,5,6,3] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,4,1,6,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,4,3,6,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,4,5,1,6,3] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,5,3,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,3,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,5,6,3,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[2,4,6,1,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,6,3,1,5] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,3,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,5,1,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,6,5,3,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,3,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[2,5,1,3,6,4] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[2,5,1,4,6,3] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[2,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[2,5,3,1,4,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,3,1,6,4] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,4,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,4,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,6,1,4] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,3,6,4,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,4,1,6,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,5,4,3,1,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,3,6,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,6,1,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,5,4,6,3,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[2,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[2,5,6,3,1,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,5,6,3,4,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,5,6,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,4,3,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,6,1,3,5,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,6,1,4,3,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[2,6,1,5,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[2,6,1,5,4,3] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,6,3,1,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,4,1,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,4,5,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,6,3,5,4,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,1,3,5] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,1,5,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,6,4,3,1,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,3,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,5,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,5,3,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,3,1,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,3,4,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,4,3,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,4,5,6] => ([(3,5),(4,5)],6)
[3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6)
[3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6)
[3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6)
[3,1,2,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6)
[3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6)
[3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6)
[3,1,4,5,2,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[3,1,4,5,6,2] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[3,1,4,6,2,5] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[3,1,4,6,5,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,1,5,2,4,6] => ([(1,5),(2,4),(3,4),(3,5)],6)
[3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,1,5,4,6,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,1,5,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[3,1,5,6,4,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,1,6,2,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[3,1,6,4,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,4,5,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[3,1,6,5,2,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[3,1,6,5,4,2] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6)
[3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6)
[3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6)
[3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
[3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,2,4,6,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[3,2,5,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,2,5,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,2,5,6,1,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[3,2,5,6,4,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,2,6,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)
[3,2,6,4,1,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,4,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,5,1,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,6,5,4,1] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,1,6,2,5] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[3,4,1,6,5,2] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,5,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[3,4,2,6,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,5,2,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,5,2,6,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,5,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,5,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,6,1,5,2] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[3,4,6,2,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,2,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,5,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,6,5,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,1,2,6,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[3,5,1,4,2,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,5,1,4,6,2] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
[3,5,1,6,4,2] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,1,4,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,5,2,1,6,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[3,5,2,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,6,1,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,6,4,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,5,4,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,4,1,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,4,2,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,2,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,4,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,6,1,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,6,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,2,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,4,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,6,4,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[3,6,1,4,2,5] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,6,1,4,5,2] => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,5,2,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,5,4,2] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,6,2,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,6,2,4,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,6,2,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,5,4,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,6,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,2,1,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,2,5,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,5,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,6,4,5,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,1,4,2] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,6,5,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,2,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,4,1,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,6,5,4,2,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6)
[4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6)
[4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[4,1,2,6,3,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,1,2,6,5,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,1,3,2,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,3,5,2,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[4,1,3,5,6,2] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[4,1,3,6,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,3,6,5,2] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,5,2,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,3,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,1,5,3,6,2] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,5,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,6,3,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,2,3,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,6,2,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,6,3,2,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,6,3,5,2] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,1,6,5,2,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,6,5,3,2] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,3,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,5,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,1,5,6,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[4,2,1,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)
[4,2,3,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,5,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[4,2,3,6,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,1,3,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[4,2,5,1,6,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,5,3,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,3,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,6,1,3] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[4,2,5,6,3,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,6,1,3,5] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)
[4,2,6,3,1,5] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,2,6,3,5,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,2,6,5,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,6,5,3,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,3,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,3,1,6,2,5] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[4,3,1,6,5,2] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,5,1,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,5,6,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,6,1,5] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,6,5,1] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,5,2,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,2,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,5,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,6,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,6,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[4,3,6,2,1,5] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,6,2,5,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,6,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,5,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,5,1,2,6,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,5,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,5,1,3,6,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,1,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,5,1,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,5,2,1,6,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,5,2,3,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,2,3,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,2,6,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,5,2,6,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,2,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,2,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,6,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,5,3,6,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[4,5,6,1,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,6,2,1,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,6,2,3,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,6,3,1,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,6,3,2,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,6,1,2,5,3] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[4,6,1,3,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,1,5,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,6,1,5,3,2] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,6,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,6,2,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[4,6,2,3,1,5] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,3,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,5,3,1] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,6,3,2,1,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,2,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,6,3,5,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,5,1,3,2] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,5,2,1,3] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,5,2,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,6,5,3,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,6,5,3,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,1,2,4,3,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,2,4,6,3] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[5,1,2,6,3,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,1,2,6,4,3] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,1,3,2,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,3,2,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[5,1,3,4,2,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,3,4,6,2] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,3,6,2,4] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[5,1,3,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,1,4,2,3,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,2,6,3] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,3,2,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,3,6,2] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,1,4,6,3,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,6,2,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,6,3,4,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,4,2,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,3,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[5,2,1,4,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[5,2,1,4,6,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[5,2,1,6,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,2,3,1,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,1,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[5,2,3,4,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,4,6,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,6,1,4] => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,6,4,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,1,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,1,6,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,2,4,3,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,3,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,6,1,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,6,3,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[5,2,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[5,2,6,3,1,4] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,6,3,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,6,4,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,2,6,4,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,2,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[5,3,1,4,2,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,4,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,3,1,6,2,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,1,4,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,1,6,4] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,4,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,6,1,4] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,6,4,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,3,4,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,2,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,2,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,6,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,4,6,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,6,1,4,2] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,6,2,1,4] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,3,6,2,4,1] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,6,4,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,2,6,3] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,3,6,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,1,6,3] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,3,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,3,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,6,1,3] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,4,2,6,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,2,1,6] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,2,6,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,6,1,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,4,3,6,2,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,6,1,3,2] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,6,2,1,3] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,1,2,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,1,3,2,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,1,3,4,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,1,4,2,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,1,4,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,1,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,3,1,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,3,4,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,4,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,3,1,2,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,3,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,3,2,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,4,1,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,4,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[6,1,2,3,5,4] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,4,3,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,4,5,3] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,5,3,4] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,5,4,3] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,2,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,2,5,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[6,1,3,4,2,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,4,5,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,5,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,5,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,2,3,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,2,5,3] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,3,2,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,3,5,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,5,2,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,1,4,5,3,2] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,2,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,3,4,2] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,4,2,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,3,5,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[6,2,1,4,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[6,2,1,4,5,3] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,5,3,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,5,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,1,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,1,5,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,4,1,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,5,1,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,5,4,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,1,5,3] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,2,4,3,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,3,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,5,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,5,3,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,1,4,3] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,3,1,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,3,4,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,4,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,4,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,2,5,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,4,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,5,2,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,3,1,5,4,2] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,4,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,3,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,2,1,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,2,5,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,1,4,2] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,4,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,3,5,4,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,2,5,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,3,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,3,5,2] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,5,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,1,5,3] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,3,1,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,3,5,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,5,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,2,1,5] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,2,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,4,5,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,2,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,3,2,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,3,4,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,4,2,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,4,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,3,1,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,1,2,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,3,4,5,6,7] => ([],7)
[1,2,3,4,5,7,6] => ([(5,6)],7)
[1,2,3,4,6,5,7] => ([(5,6)],7)
[1,2,3,4,6,7,5] => ([(4,6),(5,6)],7)
[1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[1,2,3,5,4,6,7] => ([(5,6)],7)
[1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[1,2,3,5,6,4,7] => ([(4,6),(5,6)],7)
[1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7)
[1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7)
[1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7)
[1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,3,5,6,7] => ([(5,6)],7)
[1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7)
[1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,2,4,5,3,6,7] => ([(4,6),(5,6)],7)
[1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7)
[1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7)
[1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7)
[1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7)
[1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7)
[1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7)
[1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,4,7,6,5,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7)
[1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7)
[1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7)
[1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,5,7,4,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,7,6,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7)
[1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,6,4,7,5,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,5,4,7,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,5,7,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,7,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,7,5,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,6,5,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,4,6,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,7,5,6,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,4,5,6,7] => ([(5,6)],7)
[1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7)
[1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7)
[1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7)
[1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,2,5,6,7] => ([(4,6),(5,6)],7)
[1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7)
[1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,4,5,7,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,3,4,5,7,6,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[1,3,4,6,2,7,5] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,5,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,7,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,4,6,7,5,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,3,4,7,2,6,5] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,4,7,5,2,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,4,7,5,6,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,6,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,4,7,6,5,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7)
[1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[1,3,5,2,6,7,4] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[1,3,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,4,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,4,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,4,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,5,6,2,7,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,4,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,7,2,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,6,7,4,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,5,7,2,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,7,4,2,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,6,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,7,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,2,5,7,4] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[1,3,6,2,7,5,4] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,6,4,2,7,5] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,5,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,7,2,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,6,4,7,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,6,5,2,7,4] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,6,5,4,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,4,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,7,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,6,5,7,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,6,7,2,5,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,6,7,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,6,7,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,6,7,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,7,5,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,7,2,5,6,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,7,2,6,5,4] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,7,4,2,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,5,2,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,5,6,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,6,2,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,7,4,6,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,2,6,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,7,5,4,2,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,6,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,6,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,2,5,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,5,4,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7)
[1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[1,4,2,5,6,7,3] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,2,5,7,6,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,2,6,5,7,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[1,4,2,6,7,5,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,7,5,6,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[1,4,2,7,6,5,3] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,3,5,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,3,6,2,7,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,3,6,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,3,6,7,2,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,6,7,5,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,3,7,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[1,4,3,7,5,2,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,7,5,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,7,6,2,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,3,7,6,5,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,5,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[1,4,5,2,7,6,3] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,5,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,5,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,5,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,5,7,2,6,3] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,5,7,3,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,3,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,6,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,5,7,6,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,2,5,7,3] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,6,2,7,5,3] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,3,2,7,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[1,4,6,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,7,2,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,7,5,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,5,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,5,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,5,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,7,2,5,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,7,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,5,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,7,5,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,6,5,3] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,7,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,7,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,7,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,6,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,7,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,3,2,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,6,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,7,5,6,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,2,5,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,7,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,5,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,7,6,5,3,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,2,4,6,7,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,7,6,3] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,2,6,4,7,3] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,2,6,7,4,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,4,6,3] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,2,7,6,4,3] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,3,2,6,7,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[1,5,3,2,7,6,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,4,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,4,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,3,4,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,3,6,2,7,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,6,4,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,7,2,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,3,6,7,4,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[1,5,3,7,4,2,6] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,3,7,4,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,3,7,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,3,7,6,4,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[1,5,4,2,7,6,3] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,6,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,6,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,7,2,6] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,4,7,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,4,7,3,2,6] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,7,3,6,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,7,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,7,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,3,2,7,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,6,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,6,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,6,3,7,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,6,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,4,7,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,6,7,2,4,3] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,3,2,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,3,4,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,6,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,6,7,4,3,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,7,2,4,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,7,2,6,4,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,7,3,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,7,3,4,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,4,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,6,2,4] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,6,4,2] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,7,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,3,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,7,4,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,3,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,7,6,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,7,6,4,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,5,7,3] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,2,4,7,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,4,7,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,2,5,7,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,4,5,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,7,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,6,3,2,5,7,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,2,7,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,2,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,5,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,7,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,2,7,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,3,5,4,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,7,2,4] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,7,4,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,3,7,2,5,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,6,3,7,4,2,5] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,4,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,3,7,5,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,5,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,7,5,3] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,2,7,5] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,7,2,5] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,7,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,5,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,7,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,7,2,5,3] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,3,2,5] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,4,7,3,5,2] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,7,5,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,2,7,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,7,2,4] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,5,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,3,7,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,7,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,4,7,3,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,3,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,5,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,5,7,4,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,3,4,5,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,7,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,3,5,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,4,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,7,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,7,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,7,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,7,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,7,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,6,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,4,6,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,2,5,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,4,5,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,6,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,6,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,2,6,4] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,3,5,4,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,4,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,6,4,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,2,5,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,4,2,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,4,5,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,5,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,5,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,2,6,5,3] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,6,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,3,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,5,6,3,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,2,5,3] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,6,5,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,4,6,3] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,6,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,2,6,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,4,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,4,6,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,6,2,4] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,6,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,3,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,4,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,6,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,6,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,4,5,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,5,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,5,6,7] => ([(5,6)],7)
[2,1,3,4,5,7,6] => ([(3,6),(4,5)],7)
[2,1,3,4,6,5,7] => ([(3,6),(4,5)],7)
[2,1,3,4,6,7,5] => ([(2,3),(4,6),(5,6)],7)
[2,1,3,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[2,1,3,5,4,6,7] => ([(3,6),(4,5)],7)
[2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[2,1,3,5,6,4,7] => ([(2,3),(4,6),(5,6)],7)
[2,1,3,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,1,3,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[2,1,3,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[2,1,3,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7)
[2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[2,1,3,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,3,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,1,3,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,3,5,6,7] => ([(3,6),(4,5)],7)
[2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7)
[2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7)
[2,1,4,3,6,7,5] => ([(0,3),(1,2),(4,6),(5,6)],7)
[2,1,4,3,7,5,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
[2,1,4,5,3,6,7] => ([(2,3),(4,6),(5,6)],7)
[2,1,4,5,3,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[2,1,4,5,6,3,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,4,5,7,3,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[2,1,4,5,7,6,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,3,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[2,1,4,6,3,7,5] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,4,6,5,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,5,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,7,3,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,6,7,5,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[2,1,4,7,3,6,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,5,3,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,7,5,6,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,6,3,5] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,6,5,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,3,4,6,7] => ([(2,3),(4,6),(5,6)],7)
[2,1,5,3,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[2,1,5,3,6,4,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[2,1,5,3,6,7,4] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[2,1,5,3,7,4,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,5,3,7,6,4] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
[2,1,5,4,6,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,4,6,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,4,7,3,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,4,7,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,5,6,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,6,3,7,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,6,4,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,4,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,7,3,4] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,7,3,6,4] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,5,7,4,3,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,4,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,6,3,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,7,6,4,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,4,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,1,6,3,4,7,5] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[2,1,6,3,5,4,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,5,7,4] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,6,3,7,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,7,5,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,4,3,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,4,3,7,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,4,5,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,4,5,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,4,7,3,5] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,6,4,7,5,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,5,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,5,3,7,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,5,4,7,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,5,7,3,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,7,4,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,3,5,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,4,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,6,7,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,6,7,5,4,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,3,4,6,5] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,5,4,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,5,6,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,6,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,6,5,4] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,3,6,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,7,4,5,3,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,6,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,6,5,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,3,6,4] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,4,3,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,4,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,6,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,7,5,6,4,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,3,5,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,4,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,5,6,7] => ([(4,6),(5,6)],7)
[2,3,1,4,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[2,3,1,4,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[2,3,1,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[2,3,1,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,3,1,5,4,6,7] => ([(2,3),(4,6),(5,6)],7)
[2,3,1,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[2,3,1,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[2,3,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[2,3,1,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[2,3,1,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[2,3,1,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[2,3,1,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,3,1,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[2,3,1,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[2,3,1,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[2,3,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[2,3,1,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[2,3,1,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[2,3,1,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[2,3,1,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,5,6,7] => ([(3,6),(4,6),(5,6)],7)
[2,3,4,1,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,3,4,1,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,3,4,1,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[2,3,4,1,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,7,1,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,4,5,7,6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,1,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,4,6,1,7,5] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[2,3,4,6,5,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,5,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,7,1,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,6,7,5,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,1,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[2,3,4,7,1,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,3,4,7,5,1,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,4,7,5,6,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,6,1,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,4,7,6,5,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[2,3,5,1,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,5,1,6,4,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[2,3,5,1,6,7,4] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[2,3,5,1,7,4,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,5,1,7,6,4] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[2,3,5,4,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,5,6,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,5,6,1,7,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,6,4,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,4,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,7,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,6,7,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,1,4,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[2,3,5,7,1,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[2,3,5,7,4,1,6] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,4,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,6,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,7,6,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[2,3,6,1,4,7,5] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,3,6,1,5,4,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,6,1,5,7,4] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,6,1,7,4,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[2,3,6,1,7,5,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[2,3,6,4,1,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,6,4,1,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,6,4,5,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,5,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,7,1,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,6,4,7,5,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,6,5,1,7,4] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,6,5,4,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,4,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,7,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,5,7,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,1,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,6,7,1,5,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,6,7,4,1,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,6,7,4,5,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,6,7,5,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,5,4,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[2,3,7,1,4,6,5] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,7,1,5,4,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,7,1,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,1,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,7,4,1,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,7,4,1,6,5] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,7,4,5,1,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,5,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,6,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,7,4,6,5,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,1,4,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,1,6,4] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,5,4,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,4,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,6,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,6,4,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,1,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,7,6,1,5,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,7,6,4,1,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,4,5,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,5,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,5,4,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,5,6,7] => ([(3,6),(4,5),(5,6)],7)
[2,4,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[2,4,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[2,4,1,3,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[2,4,1,3,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[2,4,1,3,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[2,4,1,5,3,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[2,4,1,5,3,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,1,5,6,3,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[2,4,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[2,4,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,5,7,6,3] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[2,4,1,6,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[2,4,1,6,3,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,4,1,6,5,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[2,4,1,6,5,7,3] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[2,4,1,6,7,3,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[2,4,1,6,7,5,3] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[2,4,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,4,1,7,3,6,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[2,4,1,7,5,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[2,4,1,7,5,6,3] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[2,4,1,7,6,3,5] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,6,5,3] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[2,4,3,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[2,4,3,1,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[2,4,3,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,3,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,3,6,1,7,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[2,4,3,6,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,3,6,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,3,6,7,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,3,6,7,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,3,7,1,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,4,3,7,5,1,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,5,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,6,1,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,3,7,6,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,5,1,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,1,6,3,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,1,6,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,1,7,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[2,4,5,1,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,3,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,5,3,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,1,3,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,6,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,6,3,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,6,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,1,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,7,1,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[2,4,5,7,3,1,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,3,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,6,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,7,6,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,6,1,3,7,5] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,4,6,1,5,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,1,5,7,3] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,6,1,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[2,4,6,1,7,5,3] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[2,4,6,3,1,5,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,1,7,5] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,7,1,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,7,5,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,6,5,1,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,5,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,5,3,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,5,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,6,7,1,5,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,7,3,1,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,3,5,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,5,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,7,5,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[2,4,7,1,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,4,7,1,5,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,7,1,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,7,1,6,3,5] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,7,1,6,5,3] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,7,3,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,1,6,5] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,6,1,5] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,6,5,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,1,3,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,7,5,1,6,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,5,3,1,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,3,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,6,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,5,6,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,7,6,1,5,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,6,3,1,5] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,3,5,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,5,1,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,6,5,3,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[2,5,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[2,5,1,3,6,4,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[2,5,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,5,1,3,7,4,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,5,1,3,7,6,4] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[2,5,1,4,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,1,4,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,4,6,3,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,4,6,7,3] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,1,4,7,3,6] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)
[2,5,1,4,7,6,3] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,1,6,3,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[2,5,1,6,3,7,4] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,5,1,6,4,3,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[2,5,1,6,4,7,3] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,7,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[2,5,1,6,7,4,3] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[2,5,1,7,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[2,5,1,7,3,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[2,5,1,7,4,3,6] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,4,6,3] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,1,7,6,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,1,7,6,4,3] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,4,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,3,1,6,4,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,6,7,4] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,1,7,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[2,5,3,1,7,6,4] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,3,4,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,4,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,1,4,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,3,6,1,7,4] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,3,6,4,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,4,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,7,1,4] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,3,6,7,4,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,7,1,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,3,7,1,6,4] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,3,7,4,1,6] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,7,4,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,7,6,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,3,7,6,4,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,4,1,3,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,6,7,3] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,4,1,7,3,6] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,3,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,6,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,6,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,7,1,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,1,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,6,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,6,3,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,6,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,1,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,4,7,1,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,7,3,1,6] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,3,6,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,7,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,3,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,6,1,3,7,4] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,1,4,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,6,1,4,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,1,7,3,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,5,6,1,7,4,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[2,5,6,3,1,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,6,3,1,7,4] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,3,4,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,6,3,4,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,6,3,7,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,3,7,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,1,7,3] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,4,3,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,3,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,7,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,4,7,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,1,3,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[2,5,6,7,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[2,5,6,7,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,3,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,6,7,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,6,7,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,1,3,6,4] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,7,1,4,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,7,1,4,6,3] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,7,1,6,3,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,7,1,6,4,3] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,1,4,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,7,3,1,6,4] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,7,3,4,1,6] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,4,6,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,6,1,4] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,6,4,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,1,3,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,1,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,4,3,1,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,3,6,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,4,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,1,3,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,6,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[2,5,7,6,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,3,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,7,6,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,7,6,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,1,3,4,7,5] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,1,3,5,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,1,3,5,7,4] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,7,4,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[2,6,1,3,7,5,4] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,1,4,3,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,1,4,3,7,5] => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,1,4,5,3,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,1,4,5,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,1,4,7,3,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,1,4,7,5,3] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,3,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,1,5,3,7,4] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,4,3,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,4,7,3] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,7,3,4] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,1,5,7,4,3] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[2,6,1,7,3,5,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,4,3,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,4,5,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,5,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,5,4,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,3,1,4,7,5] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,5,7,4] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,3,1,7,4,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,7,5,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,3,4,1,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,1,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,3,4,5,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,7,1,5] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,7,5,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,1,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,3,5,1,7,4] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,4,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,4,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,7,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,3,5,7,4,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,1,4,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,3,7,1,5,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,6,3,7,4,1,5] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,4,5,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,5,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,3,5,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,3,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,5,3,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,4,1,5,7,3] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,7,3,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,4,1,7,5,3] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,4,3,1,5,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,1,7,5] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,7,1,5] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,7,5,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,1,7,3] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,5,3,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,3,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,7,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,5,7,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,4,7,1,5,3] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,4,7,3,1,5] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,3,5,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,5,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,7,5,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,3,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,3,7,4] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,4,3,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,4,7,3] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,5,1,7,3,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,7,4,3] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,1,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,1,7,4] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,5,3,4,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,4,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,7,1,4] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,5,3,7,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,1,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,4,3,1,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,3,7,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,7,1,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,4,7,3,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,7,1,3,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,5,7,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[2,6,5,7,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,7,3,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,5,7,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,5,7,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,1,3,5,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,1,4,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,1,4,5,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,7,1,5,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,7,1,5,4,3] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,3,1,4,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,7,3,1,5,4] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,7,3,4,1,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,7,3,4,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,7,3,5,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,7,3,5,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,7,4,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,7,4,1,5,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,7,4,3,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,7,4,3,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,7,4,5,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,7,4,5,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,1,3,4] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,3,4,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,4,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,1,3,4,6,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,5,4,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,5,6,4] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,3,6,4,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,3,6,5,4] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,3,5,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,3,6,5] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,1,4,5,3,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,4,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,4,6,3,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,6,5,3] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,3,4,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,5,3,6,4] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,4,3,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,4,6,3] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,6,3,4] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,5,6,4,3] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,6,3,5,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,4,3,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,4,5,3] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,5,3,4] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,5,4,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,3,1,4,6,5] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,5,4,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,5,6,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,3,1,6,4,5] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,3,1,6,5,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,3,4,1,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,1,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,6,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,3,4,6,5,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,1,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,1,6,4] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,4,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,4,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,6,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,6,4,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,1,4,5] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,1,5,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,4,1,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,4,5,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,5,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,3,5,6] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,5,3,6] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,1,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,1,6,3,5] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,3,1,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,1,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,6,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,6,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,1,3,6] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,1,6,3] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,5,3,1,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,3,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,7,4,5,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,1,3,5] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,1,5,3] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,6,3,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,3,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,5,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,7,4,6,5,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,3,6,4] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,4,3,6] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,4,6,3] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,1,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,1,6,4] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,4,1,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,4,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,6,1,4] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,6,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,1,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,1,6,3] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,5,4,3,1,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,3,6,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,7,5,4,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,3,4,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,4,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,3,5,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,4,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,5,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,5,4,3] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,1,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,1,5,4] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,4,1,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,4,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,5,1,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,5,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,1,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,1,5,3] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,3,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,3,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,5,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,5,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,3,4,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,4,3,1] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,5,6,7] => ([(4,6),(5,6)],7)
[3,1,2,4,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[3,1,2,4,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[3,1,2,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[3,1,2,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[3,1,2,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,1,2,5,4,6,7] => ([(2,3),(4,6),(5,6)],7)
[3,1,2,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[3,1,2,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[3,1,2,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[3,1,2,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[3,1,2,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,1,2,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[3,1,2,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[3,1,2,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,1,2,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,1,2,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[3,1,2,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[3,1,2,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[3,1,2,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,1,2,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,1,2,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[3,1,2,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[3,1,2,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,2,5,6,7] => ([(3,6),(4,5),(5,6)],7)
[3,1,4,2,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[3,1,4,2,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[3,1,4,2,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[3,1,4,2,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[3,1,4,2,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[3,1,4,5,2,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[3,1,4,5,2,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[3,1,4,5,6,2,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,1,4,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,1,4,5,7,2,6] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[3,1,4,5,7,6,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,6,2,5,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[3,1,4,6,2,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,4,6,5,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,4,6,5,7,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,6,7,2,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,1,4,6,7,5,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,4,7,2,5,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[3,1,4,7,2,6,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[3,1,4,7,5,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,5,6,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,4,7,6,2,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,7,6,5,2] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,2,4,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[3,1,5,2,4,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[3,1,5,2,6,4,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[3,1,5,2,6,7,4] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,5,2,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,5,2,7,6,4] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[3,1,5,4,2,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,5,4,2,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,4,6,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,5,4,6,7,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,4,7,2,6] => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,5,4,7,6,2] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,5,6,2,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,1,5,6,2,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[3,1,5,6,4,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,5,6,4,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,5,6,7,2,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[3,1,5,6,7,4,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,5,7,2,4,6] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,1,5,7,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[3,1,5,7,4,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,4,6,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,6,2,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,7,6,4,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,2,4,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,2,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,1,6,2,5,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[3,1,6,2,7,4,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,1,6,2,7,5,4] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[3,1,6,4,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,4,2,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)
[3,1,6,4,5,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,4,5,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,4,7,2,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,4,7,5,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,5,2,4,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,1,6,5,2,7,4] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,4,2,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,5,4,7,2] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,5,7,2,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,7,4,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,2,4,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,1,6,7,2,5,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,6,7,4,2,5] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,7,4,5,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,7,5,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,5,4,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,1,7,2,5,6,4] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[3,1,7,2,6,4,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[3,1,7,2,6,5,4] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,7,4,2,6,5] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,7,4,5,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,7,4,5,6,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,7,4,6,2,5] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,6,5,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,2,4,6] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,2,6,4] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,7,5,4,2,6] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,4,6,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,6,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,6,4,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,1,7,6,2,5,4] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,4,2,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,4,5,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,5,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,5,4,2] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,2,1,4,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
[3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,2,1,5,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[3,2,1,5,7,6,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,2,1,6,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,2,1,6,4,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[3,2,1,6,5,7,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,2,1,6,7,4,5] => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
[3,2,1,6,7,5,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,2,1,7,4,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,2,1,7,5,4,6] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,2,1,7,5,6,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,6,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,2,4,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,2,4,1,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[3,2,4,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,4,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,4,6,1,7,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,2,4,6,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,4,6,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,4,6,7,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,4,6,7,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,4,7,1,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,2,4,7,5,1,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,5,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,6,1,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,4,7,6,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,4,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,5,1,4,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,6,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,2,5,1,6,7,4] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[3,2,5,1,7,4,6] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[3,2,5,1,7,6,4] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[3,2,5,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,5,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,5,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,5,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,5,4,7,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,5,6,1,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,5,6,1,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,6,4,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,4,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,7,1,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,6,7,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,1,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,2,5,7,1,6,4] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,2,5,7,4,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,4,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,6,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,5,7,6,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,4,5,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,6,1,4,7,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[3,2,6,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,2,6,1,5,7,4] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,2,6,1,7,4,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[3,2,6,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[3,2,6,4,1,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,1,7,5] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,2,6,4,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,7,1,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,6,4,7,5,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,1,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,6,5,1,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,5,4,1,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,4,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,7,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,6,5,7,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,1,4,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,6,7,1,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,6,7,4,1,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,4,5,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,6,7,5,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,5,4,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,2,7,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,2,7,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,2,7,1,5,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,7,1,6,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,7,1,6,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,7,4,1,5,6] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,7,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,7,4,5,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,5,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,6,1,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,7,4,6,5,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,1,4,6] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,1,6,4] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,4,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,4,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,6,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,6,4,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,1,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,1,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,7,6,4,1,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,4,5,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,5,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,5,4,1] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,6,7,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[3,4,1,2,7,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[3,4,1,2,7,6,5] => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
[3,4,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,1,5,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,7,2,6] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,4,1,5,7,6,2] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,6,2,5,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,4,1,6,2,7,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,4,1,6,5,2,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,6,5,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,6,7,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,6,7,5,2] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[3,4,1,7,2,6,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[3,4,1,7,5,2,6] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,5,6,2] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,6,2,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,4,1,7,6,5,2] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[3,4,2,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[3,4,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,6,1,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[3,4,2,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,2,7,1,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,7,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,2,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,2,7,6,1,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,7,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,5,1,2,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,7,2,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[3,4,5,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,2,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,7,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,5,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,7,1,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[3,4,5,7,2,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,2,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,7,6,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,6,1,2,7,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,4,6,1,5,2,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,4,6,1,5,7,2] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,4,6,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,4,6,1,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,4,6,2,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,1,7,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,4,6,2,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,7,1,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,4,6,2,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,5,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,5,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,5,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,1,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,7,1,5,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,7,2,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,2,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,5,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,7,5,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,4,7,1,6,2,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,6,5,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,4,7,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,4,7,2,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,6,1,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,6,5,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,1,2,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,7,5,1,6,2] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,4,7,5,2,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,2,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,5,6,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,1,2,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,6,1,5,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,6,2,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,2,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,5,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,6,5,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,4,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,2,6,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,5,1,2,6,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[3,5,1,2,7,4,6] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,5,1,2,7,6,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[3,5,1,4,2,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,1,4,2,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,1,4,6,2,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,1,4,6,7,2] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,1,4,7,2,6] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,1,6,2,4,7] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,5,1,6,2,7,4] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,1,6,4,2,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,4,7,2] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,7,2,4] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,1,6,7,4,2] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,5,1,7,2,4,6] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,1,7,2,6,4] => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,1,7,4,2,6] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,1,7,4,6,2] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,6,2,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,1,7,6,4,2] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,2,1,4,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,6,4,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,5,2,1,6,7,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[3,5,2,1,7,4,6] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,7,6,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[3,5,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,7,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,1,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,1,7,4] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[3,5,2,6,4,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,6,4,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,6,7,1,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,2,6,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,1,4,6] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,2,7,1,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[3,5,2,7,4,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,7,4,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,7,6,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,6,4,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,7,2,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,4,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,7,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,7,2,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,2,6,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,7,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,1,2,7,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,5,6,1,4,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,1,4,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,1,7,2,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,5,6,1,7,4,2] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[3,5,6,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,1,7,4] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[3,5,6,2,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,7,1,4] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[3,5,6,2,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,6,4,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,4,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,4,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,4,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,7,1,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[3,5,6,7,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,2,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,6,7,4,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,7,4,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,7,1,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,5,7,1,4,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,7,1,4,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,5,7,1,6,2,4] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[3,5,7,1,6,4,2] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,7,2,1,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,7,2,1,6,4] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,5,7,2,4,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,6,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,6,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,7,4,1,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,7,4,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,2,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,2,6,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,6,1,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[3,5,7,6,2,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,2,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,7,6,4,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,6,4,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,6,1,2,5,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,1,2,5,7,4] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,6,1,2,7,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,1,4,2,5,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,1,4,2,7,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,1,4,5,2,7] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,5,7,2] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,7,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,1,4,7,5,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,2,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,2,7,4] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,1,5,4,2,7] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,4,7,2] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,7,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,7,4,2] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,7,2,4,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,6,1,7,2,5,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,6,1,7,4,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,7,4,5,2] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,7,5,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,7,5,4,2] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,1,4,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,1,5,7,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,6,2,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,4,1,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,7,5,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,1,4,7] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,1,7,4] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,2,5,4,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,4,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,7,1,4] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,5,7,4,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,1,4,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,1,5,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,7,4,1,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,4,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,5,1,4] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,5,4,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,4,1,2,7,5] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,4,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,4,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,7,5,2] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,4,2,1,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,1,7,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,5,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,7,1,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,7,5,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,5,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,5,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,5,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,7,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,1,5,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,2,1,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,7,2,5,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,7,5,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,5,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,4,2,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,5,1,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,5,1,7,2,4] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,5,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,1,7,4] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,7,1,4] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,5,4,1,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,4,1,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,4,2,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,2,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,4,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,7,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,7,1,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[3,6,5,7,2,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,7,2,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,5,7,4,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,7,4,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,1,4,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,1,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,7,1,5,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,7,1,5,4,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,7,2,1,4,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,2,1,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,4,1,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,7,2,4,5,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,5,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,5,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,4,1,5,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,4,2,1,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,2,5,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,5,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,4,5,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,7,5,1,4,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,7,5,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,2,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,4,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,5,4,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,7,1,2,5,6,4] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,6,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,6,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,1,4,5,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,5,6,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,6,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,6,5,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,2,4,6] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,2,6,4] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,4,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,4,6,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,6,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,6,4,2] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,7,1,6,2,5,4] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,4,2,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,4,5,2] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,5,2,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,5,4,2] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,1,5,6,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,6,4,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,4,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,6,1,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,6,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,1,4,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,4,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,4,6,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,6,1,4] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,6,4,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,1,5,4] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,4,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,4,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,5,1,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,5,4,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,6,2,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,7,4,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,6,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,6,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,1,2,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,5,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,5,2,1,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,1,2,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,6,1,5,2] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,7,4,6,2,1,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,2,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,5,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,6,5,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,2,6,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,4,2,6] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,4,6,2] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,6,4,2] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,1,4,6] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,1,6,4] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,4,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,4,6,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,6,1,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,6,4,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,1,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,5,4,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,7,5,4,2,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,2,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,5,6,1,4,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,7,5,6,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,2,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,4,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,6,4,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,6,1,5,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,5,4,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,1,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,4,1,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,4,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,5,1,4] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,5,4,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,1,2,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,1,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,6,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,2,5,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,5,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,4,5,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,1,2,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,1,4,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,2,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,4,1,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,5,4,2,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,5,6,7] => ([(3,6),(4,6),(5,6)],7)
[4,1,2,3,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,1,2,3,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,1,2,3,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,1,2,3,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,1,2,3,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[4,1,2,5,3,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[4,1,2,5,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[4,1,2,5,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,1,2,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,1,2,5,7,3,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,1,2,5,7,6,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,2,6,3,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,1,2,6,3,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,2,6,5,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,2,6,5,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,2,6,7,3,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,1,2,6,7,5,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,1,2,7,3,6,5] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[4,1,2,7,5,3,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,2,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,2,7,6,3,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[4,1,2,7,6,5,3] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,3,2,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,1,3,2,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,1,3,2,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,1,3,5,2,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,5,2,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,5,6,2,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,5,7,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,5,7,6,2] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,2,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[4,1,3,6,5,2,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,5,7,2] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,7,2,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,7,5,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,3,7,2,6,5] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,3,7,5,2,6] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,3,7,5,6,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,3,7,6,2,5] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,3,7,6,5,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,5,2,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,5,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,5,2,6,7,3] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,5,2,7,3,6] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,1,5,2,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,5,3,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,5,3,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,6,2,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,6,7,2] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,7,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,2,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,5,6,2,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,3,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,3,7,2] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,7,2,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,7,3,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,2,3,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,7,2,6,3] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,5,7,3,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,3,6,2] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,6,2,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,7,6,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,2,3,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,1,6,2,5,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,5,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,6,2,7,5,3] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,6,3,2,5,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,2,7,5] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,5,2,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,3,5,7,2] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,3,7,2,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,3,7,5,2] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,5,2,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,6,5,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,6,5,3,2,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,5,3,7,2] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,5,7,2,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,7,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,2,3,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,1,6,7,2,5,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[4,1,6,7,3,2,5] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,3,5,2] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,5,2,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,6,7,5,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,7,2,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,7,2,6,3,5] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[4,1,7,2,6,5,3] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,7,3,2,5,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,3,2,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,3,5,2,6] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,3,5,6,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,7,3,6,2,5] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,7,3,6,5,2] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,7,5,2,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,5,2,6,3] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,7,5,3,2,6] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,5,3,6,2] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,5,6,2,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,7,5,6,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,1,7,6,2,5,3] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,3,2,5] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,3,5,2] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,5,2,3] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,5,3,2] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,2,1,3,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,2,1,3,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,2,1,5,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,1,5,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,6,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,2,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[4,2,1,5,7,6,3] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,2,1,6,3,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[4,2,1,6,3,7,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[4,2,1,6,5,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,2,1,6,5,7,3] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,2,1,6,7,3,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[4,2,1,6,7,5,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,1,7,3,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,1,7,5,3,6] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,1,7,5,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,1,7,6,3,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[4,2,1,7,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,3,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,2,3,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,2,3,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,3,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,3,6,1,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,2,3,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,3,7,1,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,3,7,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,3,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,3,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,3,7,6,1,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,5,1,3,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,5,1,3,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,5,1,6,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,1,6,7,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[4,2,5,1,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[4,2,5,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,2,5,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,7,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,1,3,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,5,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[4,2,5,6,3,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,7,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[4,2,5,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,1,3,6] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,5,7,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,7,3,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,3,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,6,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,7,6,3,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,3,5,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,1,3,7,5] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[4,2,6,1,5,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,1,5,7,3] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,6,1,7,3,5] => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,6,1,7,5,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[4,2,6,3,1,5,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,6,3,1,7,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,6,3,5,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,6,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,6,3,7,1,5] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,3,7,5,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,6,5,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,6,5,1,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,5,3,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,5,3,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,5,7,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,5,7,3,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,1,3,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,2,6,7,1,5,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,7,3,1,5] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,3,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,5,1,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,7,5,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[4,2,7,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,2,7,1,5,3,6] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,7,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,7,1,6,3,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[4,2,7,1,6,5,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,7,3,1,5,6] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,3,1,6,5] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,6,1,5] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,6,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,5,1,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,7,5,1,6,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,5,3,1,6] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,3,6,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,6,1,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,7,5,6,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,1,3,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,2,7,6,1,5,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,6,3,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,3,5,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,5,1,3] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,6,5,3,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,3,1,2,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,3,1,2,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,5,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,5,7,2,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,5,7,6,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,6,2,5,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,3,1,6,2,7,5] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[4,3,1,6,5,2,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,6,5,7,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,6,7,2,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,6,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[4,3,1,7,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[4,3,1,7,5,2,6] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,1,7,5,6,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,5,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,7,5,6] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,6,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,7,1,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,1,5,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,1,7,5] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,2,7,1,5,6] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,2,7,1,6,5] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,2,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,2,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,2,7,6,1,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,6,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,7,2,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,5,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,2,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,2,6,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,2,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,6,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,6,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,6,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,6,1,7,5,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,1,5,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,1,7,5] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,5,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,5,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,7,1,5] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,7,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,6,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,1,2,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,7,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,7,2,1,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,2,5,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,5,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,7,5,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,3,7,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,3,7,1,6,2,5] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,7,1,6,5,2] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,7,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,7,2,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,5,6,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,6,1,5] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,1,2,6] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,7,5,1,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,3,7,5,2,1,6] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,2,6,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,1,5,2] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,7,6,2,1,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,2,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,5,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,6,5,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,6,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,5,1,2,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,6,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,1,3,7,2,6] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,1,6,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,3,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,7,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,7,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,2,3,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,1,7,2,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,5,1,7,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,3,6,2] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,6,2,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,7,6,3,2] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,1,6,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,2,1,6,7,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,2,1,7,3,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,2,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,2,3,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,3,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,3,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,3,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,3,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,6,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,6,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,7,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,1,3,6] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,7,1,6,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,7,3,1,6] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,3,6,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,6,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,7,6,3,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,3,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,3,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,6,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,1,2,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,3,7,1,6,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,5,3,7,2,1,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,2,6,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,6,1,2,7,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,5,6,1,3,2,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,6,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,2,1,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[4,5,6,2,3,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,2,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[4,5,6,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,3,1,2,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,5,6,3,2,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,6,3,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,6,7,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,5,6,7,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,5,6,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,5,7,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)
[4,5,7,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,5,7,1,3,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,6,2,3] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,7,1,6,3,2] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,1,3,6] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,5,7,2,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,5,7,2,3,1,6] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,6,1,3] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,5,7,2,6,3,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,1,2,6] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,1,6,2] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,5,7,3,2,1,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,2,6,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,7,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,6,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,7,6,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,5,7,6,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,5,7,6,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,7,6,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,7,6,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,6,1,2,5,3,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,1,2,5,7,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,1,2,7,3,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,6,1,2,7,5,3] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,2,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,5,2,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,7,5,2] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,1,5,3,2,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,1,5,3,7,2] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,7,2,3] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,7,3,2] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,6,1,7,2,5,3] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,1,7,3,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,1,7,3,5,2] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,5,2,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,1,7,5,3,2] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,1,3,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,1,5,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,6,2,1,5,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,6,2,1,7,3,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,6,2,1,7,5,3] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,2,3,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,5,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,7,1,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,7,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,1,3,7] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,1,7,3] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,2,5,3,1,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,3,7,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,7,1,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,5,7,3,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,1,3,5] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,2,7,1,5,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,2,7,3,1,5] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,3,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,5,1,3] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,2,7,5,3,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,2,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,7,5,2] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,5,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,7,1,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,7,5,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,1,2,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,3,7,1,5,2] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,3,7,2,1,5] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,5,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,7,5,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,2,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,5,1,3,2,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,5,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,1,3,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[4,6,5,2,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,2,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[4,6,5,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,3,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,5,3,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,5,3,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,6,5,7,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,6,5,7,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,6,5,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,7,1,2,5,3] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,7,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,7,1,3,5,2] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,1,5,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,7,1,5,3,2] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,1,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,7,2,1,5,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,7,2,3,1,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,7,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,7,2,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,6,7,2,5,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,7,3,1,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,7,3,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,2,1,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,5,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,7,3,5,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[4,6,7,5,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,6,7,5,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,6,7,5,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,7,5,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,7,5,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,5,3,6] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,1,2,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,7,1,2,6,3,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,1,2,6,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,1,3,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,1,3,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,1,3,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,3,6,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,1,3,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,1,5,2,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,1,5,3,2,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,1,5,3,6,2] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,5,6,2,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,7,1,6,2,5,3] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,1,6,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,3,5,2] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,5,2,3] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,1,6,5,3,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,2,1,5,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,2,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,7,2,1,6,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,6,5,3] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,6,1,5] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,6,5,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,1,3,6] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,1,6,3] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,2,5,3,1,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,3,6,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,6,1,3] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,5,6,3,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,1,3,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,1,5,3] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,3,1,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,3,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,5,1,3] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,2,6,5,3,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,3,1,6,2,5] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,3,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,6,1,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,3,5,1,6,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,1,5,2] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,2,1,5] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,5,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,6,5,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,2,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,3,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,6,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,6,3,2] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,1,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,5,2,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,6,1,3] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,5,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,1,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,5,3,2,1,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,2,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,5,6,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,7,5,6,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,7,5,6,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,5,6,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,5,6,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,2,5,3] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,3,5,2] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,5,2,3] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,5,3,2] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,1,3,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,1,5,3] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,3,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,5,1,3] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,6,2,5,3,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,5,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,6,3,5,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,5,1,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,5,2,1,3] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,5,2,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,6,5,3,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,6,5,3,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,3,4,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,1,2,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,2,3,6,4,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[5,1,2,3,7,4,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,1,2,3,7,6,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,1,2,4,3,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,4,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,4,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,4,6,7,3] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,4,7,3,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,4,7,6,3] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,6,3,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,2,6,3,7,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,1,2,6,4,3,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,6,4,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,6,7,3,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,2,6,7,4,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,7,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,7,4,6,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,2,7,6,3,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,2,7,6,4,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,3,2,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,2,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,2,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,3,2,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,3,2,7,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,1,3,2,7,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,1,3,4,2,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,6,2,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,6,7,2] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,7,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,3,4,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,2,4,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,3,6,2,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,3,6,4,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,3,6,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,7,2,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,3,6,7,4,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,2,4,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,3,7,2,6,4] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,3,7,4,2,6] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,4,6,2] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,6,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,1,3,7,6,4,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,3,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,6,3,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,6,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,7,3,6] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,7,6,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,2,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,2,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,6,2,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,6,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,7,2,6] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,6,2,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,4,6,2,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,4,6,3,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,6,3,7,2] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,6,7,2,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,4,6,7,3,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,2,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,7,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,4,7,3,2,6] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,7,3,6,2] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,6,2,3] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,4,7,6,3,2] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,2,3,4,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,4,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,4,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,6,3,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,2,7,4] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,6,3,4,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,3,4,7,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,3,7,2,4] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,3,7,4,2] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,4,2,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,4,2,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,4,3,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,4,3,7,2] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,4,7,2,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,4,7,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,2,3,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,1,6,7,2,4,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,6,7,3,2,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,6,7,3,4,2] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,4,2,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,4,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[5,1,7,2,4,3,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,4,6,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,6,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,6,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,2,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,2,6,4] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,4,2,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,4,6,2] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,7,3,6,2,4] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,7,3,6,4,2] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,7,4,2,3,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,3,2,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,3,6,2] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,7,4,6,2,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,7,4,6,3,2] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,1,7,6,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,1,7,6,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,1,7,6,3,4,2] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,4,2,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,4,3,2] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,1,3,7,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,2,1,3,7,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,2,1,4,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,1,4,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,1,4,6,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,4,6,7,3] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,1,4,7,3,6] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,1,4,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,1,6,3,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,1,6,3,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,1,6,4,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,1,6,4,7,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,6,7,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,1,6,7,4,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,3,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,7,3,6,4] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,2,1,7,4,3,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,7,4,6,3] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,6,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,1,7,6,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,3,1,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,6,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,1,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,1,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,2,3,1,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,4,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,7,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,1,4,7] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,1,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,6,4,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,4,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,7,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,3,6,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,7,1,4,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,7,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,3,7,4,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,7,4,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,7,6,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,3,7,6,4,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,6,3,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,4,1,6,7,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,4,1,7,3,6] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,4,1,7,6,3] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,1,3,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,1,7,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,6,3,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,7,1,3] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,4,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,1,3,6] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,4,7,1,6,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,7,3,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,3,6,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,6,1,3] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,4,7,6,3,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,3,4,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,6,1,3,7,4] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,1,4,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,6,1,4,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,6,1,7,3,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,2,6,1,7,4,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,2,6,3,1,4,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,1,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,6,3,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,7,1,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,6,3,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,6,4,1,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,4,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,7,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)
[5,2,6,7,1,4,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,2,6,7,3,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,4,1,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,6,7,4,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[5,2,7,1,3,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,1,4,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,1,4,6,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,1,6,3,4] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,1,6,4,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,3,1,4,6] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,3,1,6,4] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,3,4,1,6] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,3,4,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,3,6,1,4] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,3,6,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,4,1,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,4,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,7,4,3,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,4,3,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,4,6,1,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,4,6,3,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,6,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,2,7,6,1,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,2,7,6,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,7,6,3,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,6,4,1,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,7,6,4,3,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,6,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,1,2,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,3,1,2,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,1,4,2,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,4,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,4,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,1,4,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,1,4,7,2,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,1,6,2,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,6,2,7,4] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,1,6,4,2,7] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,6,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,6,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,6,7,4,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,2,4,6] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,3,1,7,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[5,3,1,7,4,2,6] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,1,7,4,6,2] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,6,2,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,1,7,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,4,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,6,4,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,6,7,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,2,1,7,4,6] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,7,6,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,1,4,7] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,1,7,4] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,2,6,4,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,4,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,7,1,4] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,2,6,7,4,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,1,4,6] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,2,7,1,6,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,2,7,4,1,6] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,2,7,4,6,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,2,7,6,1,4] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,6,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,4,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,4,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,6,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,1,2,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,7,1,6,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,4,7,2,1,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,2,6,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,7,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,1,2,7,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,6,1,4,2,7] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,4,7,2] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,7,2,4] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,6,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,1,4,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,6,2,1,7,4] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,4,1,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,4,7,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,7,1,4] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,6,2,7,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,4,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,4,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,4,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,4,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,7,1,2,4] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,7,1,4,2] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,6,7,2,1,4] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,7,2,4,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,1,2,6,4] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,1,4,2,6] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,7,1,4,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,7,1,6,2,4] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,7,1,6,4,2] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,2,1,6,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,2,4,1,6] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,7,2,4,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,7,2,6,1,4] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,2,6,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,7,4,1,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,7,4,2,1,6] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,2,6,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,1,2,4] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,7,6,1,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,7,6,2,1,4] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,4,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,6,4,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,6,3,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,1,2,7,3,6] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,4,1,2,7,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,6,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,7,2,6] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,1,6,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,3,7,2] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,7,2,3] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,6,7,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,4,1,7,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,4,1,7,3,2,6] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,3,6,2] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,6,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,6,3,2] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,6,3,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,6,7,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,2,1,7,3,6] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,2,3,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,1,3,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,2,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,6,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,7,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,1,3,6] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,1,6,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,7,3,1,6] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,3,6,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,6,1,3] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,2,7,6,3,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,1,6,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,6,1,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,6,7,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,7,1,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,1,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,6,2,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,1,2,6] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,1,6,2] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,2,1,6] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,2,6,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,2,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,6,1,3,2,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,1,3,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,4,6,2,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,2,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,4,6,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,3,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,4,6,3,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,3,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,4,6,7,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,4,6,7,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,4,6,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,4,7,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,4,7,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,4,7,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,4,7,1,6,2,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,1,6,3,2] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,4,7,2,1,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,4,7,2,3,1,6] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,2,3,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,2,6,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,4,7,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,1,2,6] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,1,6,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,7,3,2,1,6] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,2,6,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,3,6,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,4,7,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,7,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,7,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,2,4,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,2,4,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,2,7,4,3] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,3,2,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,3,2,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,3,4,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,3,4,7,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,1,3,7,2,4] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,3,7,4,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,1,4,2,3,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,4,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,1,4,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,4,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,1,4,7,2,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,4,7,3,2] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,7,3,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,7,3,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,1,7,4,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,1,7,4,3,2] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,2,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,2,1,4,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,2,1,4,7,3] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,1,7,3,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,2,1,7,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,2,3,1,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,2,3,4,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,3,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,3,7,1,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,2,3,7,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,2,4,1,7,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,2,4,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,4,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,4,7,1,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,2,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,7,1,3,4] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,7,1,4,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,2,7,3,1,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,7,4,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,2,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,3,1,4,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,1,4,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,1,7,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,2,1,7,4] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,2,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,2,7,1,4] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,2,7,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,4,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,4,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,4,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,4,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,4,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,4,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,7,1,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,7,1,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,6,3,7,2,1,4] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,7,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,4,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,3,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,4,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,4,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,4,2,1,7,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,3,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,7,1,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,6,4,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,4,3,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,7,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,7,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,6,4,7,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,6,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,4,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,7,1,3,4,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,1,4,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,1,4,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,7,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,7,2,3,1,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,2,4,1,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,3,1,2,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,3,1,4,2] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,3,2,1,4] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,7,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,4,1,3,2] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[5,7,1,2,4,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,2,4,6,3] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,1,2,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,3,2,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,3,2,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,3,6,2,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,3,6,4,2] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,4,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,4,3,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,4,3,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,4,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,7,1,6,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,7,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,7,1,6,3,4,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,1,6,4,2,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,1,6,4,3,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,2,1,3,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,2,1,4,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,2,1,4,6,3] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,2,1,6,3,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,2,1,6,4,3] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,2,3,1,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,2,3,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,7,2,3,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,2,3,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,2,3,6,1,4] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,2,3,6,4,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,2,4,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,2,4,3,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,2,4,3,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,2,4,6,1,3] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,6,1,3,4] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,7,2,6,3,1,4] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,2,6,4,1,3] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,6,4,3,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,7,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,1,4,6,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,6,2,4] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,3,1,6,4,2] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,2,1,6,4] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,2,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,3,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,3,2,6,1,4] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,3,2,6,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,4,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,3,4,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,4,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,4,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,6,2,1,4] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,3,6,2,4,1] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,6,4,2,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,4,1,2,6,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,4,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,4,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,4,1,6,2,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,1,6,3,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,4,2,1,6,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,4,2,3,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,3,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,6,1,3] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,6,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,6,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,6,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,6,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,6,1,3,4,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,7,6,1,4,2,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,7,6,1,4,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,6,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,2,3,1,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,7,6,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,7,6,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,3,2,1,4] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,2,3,5,4,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,3,5,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,2,3,7,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,3,7,5,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,2,4,3,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,3,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,5,3,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,5,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,7,3,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,2,4,7,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,2,5,3,4,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,4,3,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,4,7,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,7,3,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,2,5,7,4,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,4,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,4,5,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,7,5,3,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,7,5,4,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,2,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,2,4,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,2,5,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,3,2,5,7,4] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,2,7,4,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,3,2,7,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,3,4,2,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,2,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,3,4,5,2,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,7,2,5] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,7,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,3,5,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,2,7,4] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,3,5,4,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,7,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,7,4,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,2,4,5] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[6,1,3,7,2,5,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,3,7,4,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,3,7,4,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,5,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,5,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,3,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,4,2,5,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,5,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,7,5,3] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,2,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,2,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,5,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,7,2,5] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,7,5,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,2,3,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,4,5,2,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,3,2,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,3,7,2] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,7,2,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,4,5,7,3,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,7,2,5,3] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,3,2,5] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,4,7,3,5,2] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,5,2,3] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,4,7,5,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,3,4,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,4,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,4,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,7,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,7,4,3] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,2,7,4] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,4,2,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,4,7,2] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,7,2,4] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,7,4,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,2,3,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,3,2,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,3,7,2] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,7,2,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,5,4,7,3,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,2,4,3] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,3,2,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,4,3,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,2,4,3,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,2,4,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,2,5,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,2,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,4,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,1,7,3,5,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,5,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,4,3,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,4,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,1,7,4,5,2,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,7,4,5,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,1,7,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,1,7,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,1,7,5,3,4,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,4,2,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,4,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,5,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,1,3,5,7,4] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,7,4,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,3,7,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,4,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,1,4,3,7,5] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,4,5,3,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,5,7,3] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,7,3,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,4,7,5,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,5,3,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,3,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,4,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,4,7,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,7,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,7,4,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,3,4,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,3,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,7,4,3,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,7,4,5,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,5,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,5,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,3,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,3,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,1,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,3,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,1,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,1,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,3,5,4,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,4,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,7,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,7,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,2,3,7,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,2,3,7,4,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,7,4,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,7,5,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,3,7,5,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,3,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,5,3,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,4,1,5,7,3] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,7,3,5] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,7,5,3] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,1,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,7,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,1,7,3] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,4,5,3,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,3,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,4,5,7,3,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,1,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[6,2,4,7,1,5,3] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,4,7,3,1,5] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,3,5,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,5,1,3] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,5,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,4,3,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,4,7,3] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,7,3,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,7,4,3] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,1,7,4] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,4,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,4,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,7,1,4] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,7,4,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,1,7,3] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,5,4,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,7,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,2,5,4,7,3,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,1,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,1,4,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,5,7,3,1,4] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,4,1,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,7,4,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[6,2,7,1,3,5,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,4,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,4,5,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,2,7,1,5,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,2,7,1,5,4,3] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,3,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,2,7,3,1,5,4] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,2,7,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,3,4,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,3,5,1,4] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,3,5,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,4,1,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,1,5,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,7,4,3,1,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,2,7,4,3,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,4,5,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,4,5,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,5,1,3,4] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,7,5,1,4,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,7,5,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,7,5,3,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,5,4,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,5,4,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,1,2,5,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,2,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,5,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,5,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,1,4,7,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,7,5,2] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,5,2,4,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,1,5,2,7,4] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,1,5,4,2,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,5,4,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,5,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,5,7,4,2] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,2,4,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,1,7,2,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,4,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,1,7,4,5,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,5,2,4] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,5,4,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,4,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,5,7,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,3,2,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,1,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,7,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,1,4,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,1,7,4] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,2,5,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,7,1,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,2,5,7,4,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,2,7,1,5,4] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,4,1,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,2,7,4,5,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,5,1,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,2,7,5,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,2,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,4,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,4,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,7,5,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,1,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,1,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,5,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,7,1,5] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,7,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,4,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,4,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,7,1,2,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,4,7,1,5,2] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,4,7,2,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,4,7,2,5,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,7,5,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,4,7,5,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,4,2,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,4,7,2] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,7,2,4] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,7,4,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,1,7,4] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,7,1,4] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,7,4,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,5,4,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,5,4,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,5,4,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,7,1,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,7,1,4,2] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,5,7,2,1,4] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,7,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,5,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,1,4,5,2] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,7,1,5,2,4] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,7,1,5,4,2] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,7,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,2,1,5,4] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,7,2,4,1,5] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,7,2,4,5,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,5,1,4] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,5,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,7,4,2,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,7,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,4,5,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,4,5,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,5,1,2,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,5,1,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,5,2,1,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,5,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,5,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,5,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,1,2,5,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,5,7,3] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,7,3,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,4,1,2,7,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,2,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,5,2,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,5,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,7,2,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,7,5,2] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,2,7,3] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,7,2,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,1,5,7,3,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,4,1,7,2,5,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,3,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,5,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,5,3,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,3,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,5,3,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,5,7,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,7,3,5] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,7,5,3] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,1,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,1,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,5,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,7,1,5] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,7,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,1,3,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,1,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,2,5,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,7,1,3] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,4,2,5,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,7,1,3,5] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,4,2,7,1,5,3] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,7,3,1,5] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,7,3,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,7,5,1,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,7,5,3,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,2,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,7,5,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,5,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,7,1,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,7,5,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,3,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,4,3,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,1,2,5] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,3,7,1,5,2] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,4,3,7,2,1,5] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,5,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,5,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,5,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,3,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,5,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,5,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,5,2,1,7,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,3,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,7,1,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,4,5,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,5,3,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,7,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,7,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,4,5,7,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,4,5,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,5,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,5,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[6,4,7,1,2,5,3] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,4,7,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[6,4,7,1,3,5,2] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[6,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,4,7,1,5,3,2] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,4,7,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[6,4,7,2,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,4,7,2,3,1,5] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,4,7,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,2,5,3,1] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,3,1,2,5] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,4,7,3,1,5,2] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,3,2,1,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,3,2,5,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,3,5,2,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,5,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,5,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,5,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,5,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,4,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,4,7,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,7,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,2,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,2,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,4,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,4,7,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,7,2,4] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,7,4,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,2,3,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,2,7,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,7,2,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,7,3,2] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,3,2,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,3,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,4,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,4,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,4,7,3] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,7,3,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,7,4,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,1,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,4,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,7,1,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,5,2,3,7,4,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,1,7,3] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,7,1,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,5,2,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,1,3,4] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,1,4,3] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,3,1,4] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,4,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,2,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,4,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,4,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,7,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,7,4,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,1,7,4] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,7,1,4] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,7,4,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,4,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,7,1,2,4] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,7,1,4,2] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,5,3,7,2,1,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,7,2,4,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,2,7,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,3,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,7,2,3] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,1,7,3] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,3,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,7,1,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,2,1,7] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,2,7,1] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,7,1,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,4,3,7,2,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,7,1,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,7,2,1,3] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,4,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,5,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,5,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,5,7,1,3,4,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,5,7,1,4,2,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,5,7,1,4,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,5,7,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,2,3,1,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,5,7,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,5,7,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,3,2,1,4] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,7,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,2,3,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,2,4,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,2,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,2,5,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,3,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,3,2,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,3,4,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,3,4,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,3,5,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,3,5,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,3,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,3,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,5,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,5,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,3,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,3,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,4,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,4,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,5,3,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,5,4,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,3,5,1,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,4,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,4,1,5,3] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,4,3,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,4,3,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,4,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,4,5,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,5,1,4,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,3,4,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,5,4,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,5,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,5,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,5,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,5,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,1,2,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,1,3,5,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,1,5,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,3,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,2,5,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,5,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,5,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,3,4,6,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,5,4,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,6,5,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,3,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,3,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,2,4,5,3,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,5,6,3] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,6,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,6,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,4,3,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,4,6,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,6,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,2,5,6,4,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,4,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,4,5,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,5,4,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,4,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,3,2,5,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,3,2,5,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,6,4,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,6,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,2,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,2,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,5,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,5,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,6,2,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,6,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,2,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,2,6,4] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,3,5,4,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,4,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,6,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,6,4,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,2,5,4] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,4,5,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,5,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,5,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,5,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,6,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,4,2,6,5,3] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,2,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,2,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,5,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,5,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,6,2,5] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,6,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,4,5,2,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,3,2,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,3,6,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,6,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,4,5,6,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,2,5,3] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,3,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,5,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,4,6,5,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,3,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,4,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,4,6,3] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,6,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,6,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,2,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,2,6,4] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,4,2,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,4,6,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,6,2,4] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,6,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,2,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,3,2,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,3,6,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,6,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,5,4,6,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,5,6,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,5,6,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,5,6,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,4,3,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,4,3,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,4,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,5,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,2,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,4,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,5,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,5,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,3,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,5,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,5,3,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,4,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,1,3,5,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,1,3,5,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,6,4,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,6,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,1,4,3,6,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,4,5,3,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,5,6,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,6,3,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,6,5,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,3,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,3,6,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,4,3,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,4,6,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,6,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,1,5,6,4,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,3,4,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,3,5,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,4,3,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,4,5,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,5,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,5,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,3,1,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,3,1,6,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,3,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,6,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,1,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,4,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,4,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,6,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,6,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,1,5,4] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,4,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,4,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,5,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,5,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,5,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,6,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,1,6,5,3] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,3,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,6,1,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,6,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,1,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,5,3,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,3,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,6,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,5,6,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,1,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,1,5,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,6,3,1,5] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,3,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,5,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,6,5,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,3,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,4,3,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,4,6,3] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,6,3,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,6,4,3] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,1,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,1,6,4] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,4,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,4,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,6,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,6,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,1,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,5,4,3,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,3,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,6,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,5,4,6,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,1,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,4,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,4,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,3,5,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,4,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,4,5,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,5,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,5,4,3] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,1,5,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,4,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,5,1,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,5,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,1,3,5] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,1,5,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,3,1,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,3,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,5,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,5,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,1,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,1,4,3] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,4,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,4,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,1,2,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,1,2,6,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,5,2,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,6,2,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,6,5,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,1,5,2,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,1,5,4,2,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,4,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,6,2,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,6,4,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,2,5,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,1,6,4,2,5] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,5,2,4] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,5,4,2] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,2,1,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,2,1,6,5,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,6,1,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,6,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,1,4,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,1,6,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,2,5,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,6,1,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,6,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,4,1,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,4,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,5,1,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,5,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,6,2,5] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,6,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,6,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,1,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,5,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,5,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,5,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,1,5,2] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,2,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,2,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,5,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,6,5,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,2,6,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,4,2,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,4,6,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,6,2,4] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,6,4,2] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,1,6,4] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,6,1,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,6,4,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,1,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,4,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,4,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,6,1,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,6,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,4,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,6,4,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,4,5,2] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,5,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,5,4,2] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,5,4,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,5,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,6,4,5,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,1,4,2] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,6,5,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,5,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,6,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,6,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,5,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,6,2,5] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,2,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,2,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,3,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,3,6,2] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,1,6,2,5,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,1,6,3,2,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,1,6,3,5,2] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,5,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,5,3,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,5,3,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,5,6,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,6,3,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,2,1,6,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,1,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,5,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,6,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,1,3,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,2,5,3,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,3,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,6,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,6,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,1,3,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,2,6,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,3,1,5] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,3,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,5,3,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,6,2,5] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,6,1,5] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,1,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,3,5,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,3,5,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,2,1,5] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,3,6,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,5,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,5,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,6,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,5,1,6,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,5,2,1,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,6,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,5,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,2,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,2,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,5,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,1,2,5,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,1,3,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,1,5,3,2] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,2,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,3,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,5,3,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,4,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,4,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,2,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,2,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,6,2,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,6,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,2,6,3] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,3,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,3,6,2] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,6,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,1,6,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,1,6,3,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,4,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,3,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,4,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,4,6,3] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,6,3,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,6,4,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,1,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,6,1,4] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,6,4,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,1,6,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,3,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,3,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,6,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,1,3,4] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,3,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,4,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,6,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,1,6,4] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,6,1,4] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,6,4,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,2,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,2,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,3,6,1,4,2] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,6,2,1,4] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,6,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,3,6,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,2,6,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,6,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,6,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,1,6,3] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,6,1,3] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,2,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,3,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,3,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,4,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,5,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,2,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,4,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,4,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,5,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,5,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,3,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,3,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,5,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,5,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,3,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,3,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,4,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,4,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,5,3,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,5,4,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,5,1,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,1,5,3] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,3,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,3,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,5,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,1,4,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,3,4,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,4,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,5,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,1,4,2] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,2,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,3,5,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,1,5,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,3,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,5,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,4,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,5,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,6,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,6,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,4,3,5,2,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,3,5,2,1] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,3,4,5,2,1] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,5,3,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,5,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,5,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,3,7,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,5,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,4,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,5,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,3,8,2,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,3,8,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,3,8,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,3,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,3,8,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,6,3,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,3,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,7,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,3,4,8,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,5,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,5,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,4,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,5,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,6,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,4,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,4,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,4,5,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,5,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,5,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,5,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,6,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,6,4,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,4,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,7,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,3,2,4,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,3,2,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,3,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,7,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,2,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,8,2,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,6,4,3,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,3,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,3,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,4,3,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,3,2,5,1] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,4,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,4,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,3,4,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,3,4,2,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,4,2,5,1] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,4,2,3,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,2,3,5,1] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,6,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,5,4,3,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,3,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,5,3,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,4,3,5,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,3,5,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,5,4,2,3,6,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,3,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,3,4,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,4,2,3,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,3,2,4,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,2,3,4,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,4,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,4,3,2,7,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,3,2,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,3,2,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,6,3,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,3,4,2,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,3,4,2,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,5,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,4,5,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,3,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,5,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,3,2,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,2,5,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,3,5,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,4,5,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,4,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,3,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,4,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,3,2,8,1] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,3,2,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,3,2,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,3,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,3,2,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,3,2,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,3,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,7,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,3,4,2,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,4,2,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,3,4,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,5,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,5,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,4,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,5,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,2,3,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,2,3,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,2,3,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,2,3,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,2,3,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,2,3,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,2,3,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,6,2,3,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,2,3,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,4,7,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,7,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,7,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,3,2,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,3,2,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,3,2,4,8,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,2,3,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,2,3,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,3,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,3,2,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,2,3,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,4,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,4,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,2,3,4,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,4,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,3,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,5,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,3,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,4,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,2,7,8,1] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,2,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,2,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,2,7,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,2,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,3,7,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,2,3,7,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,2,3,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,3,2,4,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,3,4,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,4,5,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,5,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,7,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,7,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,6,7,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,6,4,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,4,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,5,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,5,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,4,7,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,4,7,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,7,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,7,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,5,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,6,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,5,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,6,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,7,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,4,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,5,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,4,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,6,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,3,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,4,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,3,5,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,4,5,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,4,3,8,1,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,4,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,5,3,8,1,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,6,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,7,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,7,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,7,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,3,4,8,1,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,3,5,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,4,5,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,3,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,3,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,4,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,4,5,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,3,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,3,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,3,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,4,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,5,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,5,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,6,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,6,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,6,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,6,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,6,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,8,4,2,1,3] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,4,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,4,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,4,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,5,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,4,5,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,6,7,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,8,2,1,3] => ([(0,1),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,8,2,1,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,8,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,6,7,4,8,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,6,4,5,8,2,1,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,8,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,4,6,7,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,5,6,7,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,7,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,4,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,8,4,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,7,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,7,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,5,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,4,8,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,8,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,8,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,4,8,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,5,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,4,6,8,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,7,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,4,7,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,6,7,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,6,7,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,6,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,3,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,3,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,7,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,3,2,1,4] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,3,2,1,4] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,3,2,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,2,3,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,2,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,2,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,7,2,3,1,4] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,2,3,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,3,1,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,3,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,3,1,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,3,1,2,4] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,3,1,2,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,3,1,2,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,7,8,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,5,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,8,2,1,3,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,2,1,3,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,6,8,2,1,3,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,8,2,1,3,4] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,2,1,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,6,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,8,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[8,7,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,4,3,2,1,5] => ([(0,1),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,3,2,1,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,4,2,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,4,2,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,3,4,2,1,5] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,2,3,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,4,2,3,1,5] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,2,3,1,5] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,2,4,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,3,2,4,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,3,2,4,1,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,6,2,3,4,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,2,3,4,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,2,3,4,1,5] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,8,2,3,4,1,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,6,4,3,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,3,1,2,5] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,3,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,3,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,6,4,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,4,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,4,2,1,3,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,6,4,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,4,1,2,3,5] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,8,4,1,2,3,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,6,3,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,3,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,3,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,7,8,3,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,6,2,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,2,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,2,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,2,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,6,3,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,3,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,3,1,2,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,8,3,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,6,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,6,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,7,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,7,5,4,3,2,1,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,3,2,1,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,5,3,2,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,5,3,2,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,3,4,2,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,5,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,5,2,3,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,5,2,3,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,3,2,4,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,3,4,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,3,2,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,3,2,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,4,2,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,2,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,3,4,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,4,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,4,3,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,3,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,3,4,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,5,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,5,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,4,2,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,4,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,5,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,5,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,3,2,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,2,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,3,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,4,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,2,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,3,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,3,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,4,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,2,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,1,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,2,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,3,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,1,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,2,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,4,3,2,1,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,3,2,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,3,2,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,6,3,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,3,4,2,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,3,4,2,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,3,6,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,5,6,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,6,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,2,3,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,2,3,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,6,2,3,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,3,2,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,2,3,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,3,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,3,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,4,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,5,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,3,6,1,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,3,6,1,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,4,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,3,4,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,2,5,6,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,4,5,6,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,5,6,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,3,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,3,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,3,4,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,3,4,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,4,5,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,5,3,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,4,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,3,5,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,4,5,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,4,2,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,2,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,6,2,1,3,7] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,6,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,5,3,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,3,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,2,3,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,3,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,6,3,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,2,1,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,1,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,3,2,1,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,4,2,1,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,3,1,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,4,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,4,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,4,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,3,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,2,1,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,3,2,1,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,5,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,3,1,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,3,4,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,3,5,1,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,5,1,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,4,1,2,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,1,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,2,1,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,1,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,2,1,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,1,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,3,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,4,3,2,1,8] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,3,2,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,3,2,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,3,2,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,3,2,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,6,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,7,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,3,4,2,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,3,4,2,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,4,2,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,3,4,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,3,4,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,5,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,5,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,5,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,5,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,7,2,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,7,2,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,7,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,7,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,7,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,2,3,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,2,3,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,2,3,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,2,3,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,2,3,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,2,3,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,6,2,3,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,2,3,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,4,7,2,3,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,7,2,3,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,7,2,3,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,3,2,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,3,2,4,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,3,2,4,1,8] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,2,3,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,2,3,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,2,3,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,2,3,4,1,8] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,3,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,4,3,2,5,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,2,5,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,4,2,5,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,2,3,5,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,2,3,5,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,2,4,5,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,4,5,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,2,3,4,5,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,4,5,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,3,2,6,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,2,6,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,4,2,6,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,5,2,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,3,6,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,4,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,3,5,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,5,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,2,7,1,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,2,7,1,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,2,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,2,7,1,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,2,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,6,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,3,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,3,2,4,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,3,5,7,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,4,5,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,4,5,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,6,7,1,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,6,7,1,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,6,7,1,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,3,4,6,7,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,5,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,4,3,1,2,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,3,1,2,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,3,1,2,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,3,1,2,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,3,1,2,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,7,3,1,2,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,3,4,1,2,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,3,4,1,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,4,5,1,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,3,7,1,2,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,3,7,1,2,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,5,7,1,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,6,7,1,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,6,7,1,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,4,2,1,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,2,1,3,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,2,1,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,2,1,3,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,5,6,7,2,1,3,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,6,5,4,1,2,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,1,2,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,5,6,1,2,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,4,7,1,2,3,8] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,7,1,2,3,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,6,7,1,2,3,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,5,3,2,1,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,2,3,1,4,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,2,3,1,4,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,6,2,3,1,4,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,2,3,1,4,8] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,6,7,2,3,1,4,8] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,3,1,2,4,8] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,2,1,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,2,1,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,6,2,1,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,7,2,1,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,5,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,6,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,6,7,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,4,3,2,1,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,2,1,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,4,2,1,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,4,2,1,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,2,3,1,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,4,1,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,4,1,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,3,4,1,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,4,1,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,3,1,2,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,4,1,2,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,2,1,3,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,3,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,1,2,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,2,3,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,2,3,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,3,2,1,6,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,2,1,6,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,5,2,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,5,2,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,3,1,6,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,4,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,3,4,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,3,5,1,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,5,1,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,1,2,6,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,1,3,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,5,1,2,3,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,2,1,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,3,1,4,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,3,4,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,1,5,6,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,1,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,1,2,5,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,2,5,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,2,3,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,1,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,1,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,3,2,1,7,8] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,2,1,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,2,1,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,2,1,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,2,1,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,2,1,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,2,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,3,1,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,3,2,4,1,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,2,3,4,1,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,3,4,1,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,2,5,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,4,5,1,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,6,1,7,8] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,6,1,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,4,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,6,1,7,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,6,1,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,6,1,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,5,6,1,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,1,7,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,3,1,2,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,1,2,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,1,2,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,1,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,3,4,1,2,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,5,1,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,3,6,1,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,6,1,2,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,6,1,2,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,2,1,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,1,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,5,2,1,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,2,1,3,7,8] => ([(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,2,3,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,1,2,3,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,3,2,1,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,1,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,1,3,4,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,2,1,5,7,8] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,2,1,5,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,2,5,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,1,4,5,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,2,4,5,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,4,5,7,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,2,1,6,7,8] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,1,6,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,1,6,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,1,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,1,6,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,1,6,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,1,6,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,4,1,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,1,6,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,1,6,7,8] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,1,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,1,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,5,1,6,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,1,6,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,1,2,6,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,1,2,6,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,5,1,2,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,1,2,6,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,1,3,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,1,3,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,2,3,6,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,2,3,6,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,1,4,6,7,8] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,1,4,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,4,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,3,4,6,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,3,4,6,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,5,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,5,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,5,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[4,3,1,2,5,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,5,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,3,5,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,5,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[3,2,1,4,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[2,3,1,4,5,6,7,8] => ([(5,7),(6,7)],8)
[3,1,2,4,5,6,7,8] => ([(5,7),(6,7)],8)
[2,1,3,4,5,6,7,8] => ([(6,7)],8)
[1,2,3,4,5,6,7,8] => ([],8)
[6,8,7,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,5,3,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,6,5,3,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,7,5,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,8,5,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,6,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,8,7,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,5,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,6,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,5,4,2,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,6,5,4,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,7,5,4,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,6,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,6,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,7,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,8,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,6,8,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,6,5,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,6,5,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,8,5,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,7,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,8,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,8,6,2,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,7,6,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,7,8,6,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,8,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,8,7,2,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,8,7,2,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,8,7,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,3,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,3,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,4,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,6,4,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,4,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,6,5,8,2,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,5,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,5,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,6,8,2,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,6,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,7,6,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,7,6,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,5,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,6,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,5,4,3,1] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,6,5,4,3,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,5,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,5,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,8,5,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,7,6,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,5,8,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,6,5,3,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,6,5,3,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,7,5,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,8,5,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,8,7,6,3,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,8,6,3,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,7,8,6,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,8,7,3,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,8,7,3,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,8,7,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,8,7,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,4,8,3,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,4,8,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,6,5,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,5,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,6,8,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,6,5,4,1] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,8,7,5,4,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,7,8,6,4,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,7,6,8,4,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,6,7,8,4,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,7,6,5,4,1] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,7,8,5,4,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,8,7,6,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,7,8,6,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,8,7,4,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,8,7,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,6,5,8,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,7,6,8,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,7,8,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,7,6,5,1] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,7,8,6,5,1] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,8,7,6,5,1] => ([(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,7,8,6,5,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,7,6,5,1] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,8,7,5,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,7,8,5,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,8,7,6,5,1] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,7,6,5,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,8,7,5,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,6,8,5,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,7,8,5,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,7,6,1] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,8,6,1] => ([(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,7,8,6,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,7,8,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,4,3,8,7,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,7,8,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,5,3,8,7,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,5,3,7,8,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,5,4,7,8,6,1] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,4,8,7,6,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,4,7,8,6,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,8,7,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,7,8,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,2,5,8,7,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,2,5,7,8,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,5,7,8,6,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,8,7,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,7,8,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,3,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,3,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,3,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,3,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,4,8,7,1] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,4,8,7,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,5,8,7,1] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,6,5,8,7,1] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,5,8,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,4,6,5,8,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,6,5,8,7,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,3,2,6,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,6,8,7,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,6,8,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,5,6,8,7,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,6,8,7,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,6,8,7,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,5,6,8,7,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,5,6,8,7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,3,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,5,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,7,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,6,4,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,4,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,6,5,2,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,5,2,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,6,2,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,6,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,7,6,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,6,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,4,3,8,1] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,7,4,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,4,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,5,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,6,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,7,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,7,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,7,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,5,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,7,5,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,7,6,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,7,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,6,7,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,6,5,4,8,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,7,6,4,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,7,4,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,7,6,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,6,7,5,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,3,6,7,5,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,6,5,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,7,5,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,7,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,5,4,7,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,2,5,7,6,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,7,6,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,7,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,5,7,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,5,7,6,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,5,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,6,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,6,4,7,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,5,7,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,6,5,7,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,6,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,5,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,6,4,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,8,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,5,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,6,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,7,6,5,3,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,8,6,5,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,8,7,5,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,8,5,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,7,8,6,3,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,7,6,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,5,8,7,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,4,8,3,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,6,5,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,5,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,4,7,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,6,7,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,6,5,4,2] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,8,6,5,4,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,8,7,5,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,8,5,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,7,6,4,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,7,8,6,4,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,8,7,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,5,8,4,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,7,8,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,7,8,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,7,6,5,2] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,7,8,6,5,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,8,7,5,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,7,8,5,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,8,7,6,5,2] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,7,6,8,5,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,6,7,8,5,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,3,8,7,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,8,7,6,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,5,3,7,8,6,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,3,5,8,7,6,2] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,5,7,8,6,2] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,8,7,6,2] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,7,8,6,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,4,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,4,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,5,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,6,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,4,8,7,2] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,5,8,7,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,4,3,6,8,7,2] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,6,8,7,2] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,6,8,7,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,4,3,8,2] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,5,4,3,8,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,4,3,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,5,3,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,4,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,5,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,6,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,6,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,7,4,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,7,4,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,7,6,5,8,2] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,6,7,5,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,4,7,6,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,4,5,7,6,8,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,6,3,7,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,5,7,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,4,6,5,7,8,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,3,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,5,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,8,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,6,5,4,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,7,5,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,6,8,5,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,8,5,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,7,6,4,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,8,6,4,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,8,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,8,7,4,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,6,5,8,4,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,5,8,4,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,6,8,4,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,7,8,4,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,7,8,4,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,7,6,5,3] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,7,8,6,5,3] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,8,7,5,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,7,8,5,3] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,8,7,6,3] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,7,8,6,3] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,8,7,6,3] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,7,8,6,3] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,4,8,7,3] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,4,8,7,3] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,5,8,7,3] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,5,4,6,8,7,3] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,4,5,6,8,7,3] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,6,5,4,8,3] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,5,4,8,3] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,6,4,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,7,4,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,7,4,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,7,6,5,8,3] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,7,5,8,3] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,7,6,8,3] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,5,6,4,7,8,3] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,6,7,8,3] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,6,7,8,3] => ([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,8,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,8,6,5,4,3] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,7,8,5,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,8,7,4,3] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,8,7,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,5,8,4,3] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,6,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,7,6,5,3] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,8,7,5,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,7,8,5,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,8,7,6,3] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,7,8,6,3] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,5,8,7,6,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,5,7,8,6,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,4,8,7,3] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,5,8,7,3] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,5,4,6,8,7,3] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,4,5,6,8,7,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,5,4,8,3] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,6,4,8,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,7,4,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,7,6,5,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,7,6,8,3] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,6,5,4,7,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,6,7,8,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,5,6,7,8,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,8,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,8,6,5,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,8,7,5,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,6,8,5,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,7,8,5,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,8,7,6,4] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,7,8,6,4] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,5,8,7,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,1,5,6,8,7,4] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,1,7,6,5,8,4] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,7,5,8,4] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,7,6,8,4] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,1,6,5,7,8,4] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,1,5,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,3,1,8,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,6,8,7,5,4] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,7,6,8,5,4] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,6,7,8,5,4] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,3,1,5,7,8,6,4] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,6,5,8,7,4] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)
[2,3,1,7,6,5,8,4] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,6,7,5,8,4] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,5,7,6,8,4] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,1,5,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,8,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,8,7,5,4] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,6,8,5,4] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,7,8,5,4] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,8,7,6,4] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,7,8,6,4] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,5,8,7,4] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,2,5,6,8,7,4] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,6,5,8,4] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,7,5,8,4] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,5,7,8,4] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,6,7,8,4] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,3,8,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,7,8,6,5,4] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,6,8,7,5,4] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,6,5,8,7,4] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,3,5,6,7,8,4] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,8,7,6,5,4] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,8,6,5,4] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,8,7,5,4] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,6,8,5,4] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,7,8,5,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,8,7,6,4] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,7,8,6,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,5,8,7,4] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,5,6,8,7,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,6,5,8,4] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,7,5,8,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,7,6,8,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,5,7,8,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,8,7,6,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[4,3,2,1,7,8,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[4,3,2,1,6,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,3,2,1,7,6,8,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,3,2,1,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[3,4,2,1,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[3,4,2,1,7,8,6,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[3,4,2,1,6,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[3,4,2,1,7,6,8,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[3,4,2,1,6,7,8,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,4,3,1,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[2,4,3,1,7,8,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[2,4,3,1,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[2,4,3,1,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[2,4,3,1,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[3,2,4,1,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[3,2,4,1,7,8,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[3,2,4,1,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[3,2,4,1,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[3,2,4,1,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[2,3,4,1,8,7,6,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[2,3,4,1,7,8,6,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,3,4,1,6,8,7,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[2,3,4,1,7,6,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[2,3,4,1,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
[1,4,3,2,8,7,6,5] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,2,6,8,7,5] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,4,3,2,7,6,8,5] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,4,3,2,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,3,4,2,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,2,7,8,6,5] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,3,4,2,6,8,7,5] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,3,4,2,7,6,8,5] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,3,4,2,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,1,4,3,8,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,7,8,6,5] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,6,8,7,5] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,7,6,8,5] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,6,7,8,5] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[1,2,4,3,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,3,7,8,6,5] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,3,6,8,7,5] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,3,7,6,8,5] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,3,6,7,8,5] => ([(2,3),(4,7),(5,7),(6,7)],8)
[3,2,1,4,8,7,6,5] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,7,8,6,5] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,6,8,7,5] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,1,4,7,6,8,5] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,1,4,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,3,1,4,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,4,7,8,6,5] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,3,1,4,7,6,8,5] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,1,4,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,6,8,7,5] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,7,6,8,5] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,6,7,8,5] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,3,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,7,8,6,5] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,7,6,8,5] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,6,7,8,5] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,7,8,6,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,6,8,7,5] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,7,6,8,5] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,6,7,8,5] => ([(4,7),(5,7),(6,7)],8)
[5,4,3,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,7,8,6] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,1,7,8,6] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,1,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,1,7,8,6] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,1,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,1,7,8,6] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,5,4,1,7,8,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)
[2,3,5,4,1,8,7,6] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[4,3,2,5,1,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,1,7,8,6] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,1,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,1,7,8,6] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,1,8,7,6] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,4,3,5,1,7,8,6] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,4,5,1,8,7,6] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,4,5,1,8,7,6] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,3,4,5,1,7,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,5,4,3,2,8,7,6] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,3,2,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,2,8,7,6] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,2,7,8,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,3,5,4,2,7,8,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,3,4,5,2,8,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,3,4,5,2,7,8,6] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,1,4,5,3,8,7,6] => ([(0,1),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,2,5,4,3,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[1,2,5,4,3,7,8,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,2,4,5,3,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,2,4,5,3,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,5,4,8,7,6] => ([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[1,3,2,5,4,7,8,6] => ([(1,4),(2,3),(5,7),(6,7)],8)
[2,1,3,5,4,8,7,6] => ([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[2,1,3,5,4,7,8,6] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,2,3,5,4,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[1,2,3,5,4,7,8,6] => ([(3,4),(5,7),(6,7)],8)
[4,3,2,1,5,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,5,8,7,6] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,8,7,6] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,7,8,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,8,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,3,4,1,5,7,8,6] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[1,4,3,2,5,7,8,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,3,4,2,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8)
[2,1,4,3,5,8,7,6] => ([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[2,1,4,3,5,7,8,6] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,2,4,3,5,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[1,2,4,3,5,7,8,6] => ([(3,4),(5,7),(6,7)],8)
[3,2,1,4,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[3,2,1,4,5,7,8,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,3,1,4,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,4,5,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[1,3,2,4,5,7,8,6] => ([(3,4),(5,7),(6,7)],8)
[2,1,3,4,5,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[2,1,3,4,5,7,8,6] => ([(3,4),(5,7),(6,7)],8)
[1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,7,8,6] => ([(5,7),(6,7)],8)
[6,5,4,3,2,1,8,7] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,2,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,3,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,5,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,3,1,8,7] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,3,1,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,3,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,4,1,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,6,4,1,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,4,1,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,4,1,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,5,1,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,6,5,1,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,5,1,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,3,2,6,1,8,7] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,6,1,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,2,5,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,5,4,3,2,8,7] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,6,3,2,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,4,2,8,7] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,6,2,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,6,5,4,3,8,7] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,4,3,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,5,3,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,6,3,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,6,3,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[1,2,4,5,6,3,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[3,2,1,6,5,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[2,3,1,6,5,4,8,7] => ([(0,1),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,3,2,6,5,4,8,7] => ([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[1,3,2,5,6,4,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[2,1,3,5,6,4,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,2,3,6,5,4,8,7] => ([(3,4),(5,6),(5,7),(6,7)],8)
[1,2,3,5,6,4,8,7] => ([(3,4),(5,7),(6,7)],8)
[4,3,2,1,6,5,8,7] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[1,3,4,2,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[2,1,4,3,6,5,8,7] => ([(0,7),(1,6),(2,5),(3,4)],8)
[1,2,4,3,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[2,3,1,4,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,3,2,4,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[2,1,3,4,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8)
[5,4,3,2,1,6,8,7] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,1,6,8,7] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,1,6,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,1,6,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,1,6,8,7] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,1,6,8,7] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,1,6,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,1,6,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,5,4,1,6,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,1,6,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,1,6,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,5,3,2,6,8,7] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,4,2,6,8,7] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,3,6,8,7] => ([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[2,1,4,5,3,6,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,2,5,4,3,6,8,7] => ([(3,4),(5,6),(5,7),(6,7)],8)
[2,1,3,5,4,6,8,7] => ([(2,7),(3,6),(4,5)],8)
[1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8)
[4,3,2,1,5,6,8,7] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,6,8,7] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,6,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,4,3,2,5,6,8,7] => ([(3,4),(5,6),(5,7),(6,7)],8)
[1,3,4,2,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[2,1,4,3,5,6,8,7] => ([(2,7),(3,6),(4,5)],8)
[1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[3,2,1,4,5,6,8,7] => ([(3,4),(5,6),(5,7),(6,7)],8)
[2,3,1,4,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8)
[2,1,3,4,5,6,8,7] => ([(4,7),(5,6)],8)
[1,2,3,4,5,6,8,7] => ([(6,7)],8)
[5,7,6,4,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,5,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,6,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,7,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,6,4,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,4,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,6,5,2,1,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,5,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,6,2,1,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,6,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,7,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,7,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,7,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,4,3,1,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,5,4,3,1,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,6,4,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,4,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,5,3,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,6,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,7,3,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,7,3,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,7,3,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,5,4,1,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,7,5,4,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,7,6,4,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,7,4,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,6,7,4,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,6,5,4,1,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,7,5,4,1,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,7,6,4,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,7,4,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,7,4,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,7,5,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,2,7,6,5,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,2,6,7,5,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,6,7,5,1,8] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,6,5,1,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,7,5,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,7,6,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,5,7,6,1,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,7,6,1,8] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,7,6,1,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,6,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,3,7,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,4,7,1,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,4,7,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,5,7,1,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,6,5,7,1,8] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,5,7,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,6,5,7,1,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,4,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,4,3,2,8] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,5,4,3,2,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,4,3,2,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,4,3,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,6,5,3,2,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,5,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,4,7,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,5,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,6,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,5,4,2,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,7,6,4,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,7,4,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,7,4,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,6,7,5,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,4,7,6,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,3,5,7,6,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,4,5,7,6,2,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,6,3,7,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,4,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,4,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,5,7,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,4,3,6,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,6,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,6,7,2,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,7,6,5,4,3,8] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,7,4,3,8] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,6,7,3,8] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,6,7,3,8] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,7,6,5,4,3,8] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,7,5,4,3,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,6,4,3,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,7,4,3,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,7,5,3,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,4,7,3,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,6,7,3,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,5,6,7,3,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,7,6,5,4,8] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,7,6,4,8] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,1,6,5,7,4,8] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,1,6,7,5,4,8] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,3,1,6,5,7,4,8] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,1,5,6,7,4,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,7,6,5,4,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,7,5,4,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,7,6,4,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,5,7,4,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,6,7,4,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,3,6,7,5,4,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,7,5,4,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,7,6,4,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,5,7,4,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,6,7,4,8] => ([(4,7),(5,7),(6,7)],8)
[4,3,2,1,7,6,5,8] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,7,6,5,8] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,7,5,8] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,4,1,7,6,5,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,3,4,1,6,7,5,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[1,4,3,2,6,7,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[2,1,4,3,6,7,5,8] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,2,4,3,6,7,5,8] => ([(3,4),(5,7),(6,7)],8)
[3,2,1,4,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[2,3,1,4,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,4,7,6,5,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[1,2,3,4,7,6,5,8] => ([(5,6),(5,7),(6,7)],8)
[1,2,3,4,6,7,5,8] => ([(5,7),(6,7)],8)
[5,4,3,2,1,7,6,8] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,1,7,6,8] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,1,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,1,7,6,8] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,1,7,6,8] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,1,7,6,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,1,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,5,4,1,7,6,8] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,1,7,6,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,1,7,6,8] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,1,7,6,8] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,4,3,2,7,6,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,2,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,4,2,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,5,2,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,2,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,5,4,3,7,6,8] => ([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[1,2,4,5,3,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[3,2,1,5,4,7,6,8] => ([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[2,3,1,5,4,7,6,8] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,3,2,5,4,7,6,8] => ([(2,7),(3,6),(4,5)],8)
[1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[3,2,4,1,5,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,4,3,2,5,7,6,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[1,3,4,2,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8)
[3,2,1,4,5,7,6,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[2,3,1,4,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8)
[2,1,3,4,5,7,6,8] => ([(4,7),(5,6)],8)
[1,2,3,4,5,7,6,8] => ([(6,7)],8)
[3,6,5,4,2,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,2,1,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,3,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,3,1,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,4,1,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,5,1,7,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,5,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,6,5,1,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,4,6,1,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,4,3,2,7,8] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,4,3,2,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,5,3,2,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,6,3,2,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,6,3,2,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,4,2,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,5,2,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,4,3,6,2,7,8] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,6,2,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,5,6,2,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,6,2,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[2,1,5,6,4,3,7,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,5,3,7,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,4,3,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,5,3,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,5,6,3,7,8] => ([(4,7),(5,7),(6,7)],8)
[3,2,1,6,5,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[3,2,1,5,6,4,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,3,1,6,5,4,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,3,1,5,6,4,7,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,6,5,4,7,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[1,3,2,5,6,4,7,8] => ([(3,4),(5,7),(6,7)],8)
[1,2,3,6,5,4,7,8] => ([(5,6),(5,7),(6,7)],8)
[1,2,3,5,6,4,7,8] => ([(5,7),(6,7)],8)
[4,3,2,1,6,5,7,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,6,5,7,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,5,7,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,6,5,7,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,4,3,6,5,7,8] => ([(2,7),(3,6),(4,5)],8)
[1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8)
[1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8)
[2,1,3,4,6,5,7,8] => ([(4,7),(5,6)],8)
[1,2,3,4,6,5,7,8] => ([(6,7)],8)
[3,5,4,2,1,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,1,6,7,8] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,1,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,1,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,5,4,1,6,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,1,6,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,2,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,2,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[2,1,5,4,3,6,7,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[2,1,4,5,3,6,7,8] => ([(3,4),(5,7),(6,7)],8)
[1,2,5,4,3,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[3,2,1,5,4,6,7,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[2,3,1,5,4,6,7,8] => ([(3,4),(5,7),(6,7)],8)
[1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[2,1,3,5,4,6,7,8] => ([(4,7),(5,6)],8)
[1,2,3,5,4,6,7,8] => ([(6,7)],8)
[2,4,3,1,5,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[1,3,4,2,5,6,7,8] => ([(5,7),(6,7)],8)
[2,1,4,3,5,6,7,8] => ([(4,7),(5,6)],8)
[1,2,4,3,5,6,7,8] => ([(6,7)],8)
[1,3,2,4,5,6,7,8] => ([(6,7)],8)
[1,2,3,4,8,6,7,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,8,6,7,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,5,6,4,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,5,6,8,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,5,6,7,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,5,7,6,4] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,6,5,7,4] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,6,7,5,4] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,3,8,6,7,5] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,5,8,6,7,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,7,5,6,8,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,5,6,7,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,6,5,7,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,8,6,7,3] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,5,3,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,5,7,8,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,4,5,6,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,4,5,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,4,6,7,5,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,4,7,6,5,3] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,5,4,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,5,4,7,6,3] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,5,6,4,7,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,5,6,7,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,5,4,7,3] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,5,7,4,3] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,5,6,4,3] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,8,6,7,5] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,5,6,8,4] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,5,7,6,4] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,6,5,7,4] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,6,7,5,4] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,2,8,6,7,5] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,3,4,5,8,6,7,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,8,5,6,7,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,5,2,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,5,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,5,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,5,8,7,2] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,5,6,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,5,6,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,5,6,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,6,5,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,6,7,5,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,4,6,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,4,7,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,6,7,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,7,6,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,6,5,7,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,5,6,4,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,2,8,6,7,5] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,5,8,6,7,2] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,5,6,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,5,7,6,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,6,5,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,6,7,5,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,2,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,2,7,8,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,5,3,4,2,8,7,6] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,6,2,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,6,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,8,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,3,4,5,2,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,4,5,8,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,5,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,5,6,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,5,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,6,7,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,7,6,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,5,4,2,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,5,4,8,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,4,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,4,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,4,7,6,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,6,4,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,6,7,4,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,7,6,4,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,5,4,8,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,5,4,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,5,6,4,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,6,5,4,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,5,2,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,5,8,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,5,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,5,7,6,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,3,6,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,6,5,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,6,7,5,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,5,3,2,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,5,3,2,8,7] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,5,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,5,3,6,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,3,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,5,6,3,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,6,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,6,5,3,2,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,5,3,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,5,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,6,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,4,3,6,2,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,3,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,3,7,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,6,3,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,6,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,7,6,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,4,5,3,2,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,5,3,7,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,5,7,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,5,6,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,6,5,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,4,3,7,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,4,7,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,4,6,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,8,6,7,5] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,5,8,6,7,4] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,5,6,7,4] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,5,7,6,4] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,6,5,7,4] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,6,7,5,4] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,6,7,5] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,8,6,7,3] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,5,6,7,3] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,5,7,6,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,6,5,7,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,6,7,5,3] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,8,6,7,3] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,5,3,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,5,7,8,3] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,5,8,7,3] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,4,5,6,7,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,4,5,7,6,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,6,5,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,4,6,5,7,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,4,6,7,5,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,4,7,6,5,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,4,7,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,6,4,8,3] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,6,4,7,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,6,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,5,4,7,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,5,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,5,6,4,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,7,5,6,4,8] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,3,1,8,5,6,7,4] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,3,1,8,6,7,5,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,6,7,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,3,4,5,8,6,7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,5,6,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,5,6,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,5,6,7,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,5,7,6,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,6,5,7,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,6,7,5,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,4,8,6,7,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,4,5,1,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,4,5,1,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,4,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,4,5,8,7,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,4,5,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,4,5,6,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,4,6,5,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,4,6,7,5,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,4,6,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,4,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,4,6,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,6,4,1,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,6,4,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,6,4,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,6,7,4,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,7,6,4,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,6,5,4,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,8,6,7,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,7,5,6,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,5,6,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,5,7,6,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,6,5,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,1,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,1,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,6,8,7,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,7,6,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,8,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,3,4,8,7,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,3,4,5,1,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,4,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,4,5,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,4,5,6,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,4,5,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,4,5,7,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,5,4,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,5,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,5,4,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,5,4,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,5,4,7,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,5,6,4,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,5,6,7,4,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,5,7,6,4,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,6,5,4,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,5,6,4,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,6,5,4,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,8,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,4,3,5,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,3,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,3,5,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,3,5,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,5,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,5,7,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,3,6,5,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,6,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,6,7,5,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,7,6,5,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,3,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,5,6,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,5,6,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,6,3,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,6,7,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,6,5,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,6,5,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,5,3,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,6,5,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,4,3,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,3,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,3,7,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,4,6,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,6,7,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,7,6,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,5,3,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,5,6,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,6,5,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,4,6,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,6,4,3,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,8,6,7,5] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,8,6,7,4] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,5,6,4,8] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,5,6,8,4] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,5,6,7,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,5,7,6,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,5,7,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,7,5,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,8,6,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[3,2,4,5,8,6,7,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,7,5,6,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,8,5,6,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,8,6,7,5,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,8,6,7,1] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,5,1,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,4,5,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,4,5,6,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,4,6,5,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,4,6,5,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,4,6,5,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,4,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,4,6,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,4,7,6,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,6,4,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,6,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,6,4,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,7,6,4,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,5,7,4,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,5,6,4,1] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,5,7,8,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,2,3,1,5,8,7,6] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,6,5,7,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,6,7,8,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,2,3,1,6,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,2,3,1,7,6,5,8] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,7,6,8,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,2,3,1,8,6,7,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[4,2,3,1,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[4,2,3,5,1,6,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,1,7,8,6] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,1,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,6,8,7,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,8,7,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,6,5,8,7,1] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,7,5,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,7,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,8,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,8,5,7,6,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,7,6,5,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,8,7,6,5,1] => ([(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,1,6,8,7] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,1,7,8,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,2,3,4,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,8,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,3,4,8,7,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,3,4,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,4,5,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,5,7,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,6,5,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,7,6,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,5,4,1,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,5,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,5,4,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,5,4,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,5,4,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,4,7,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,5,6,4,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,6,7,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,7,6,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,6,5,4,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,5,6,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,6,5,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,1,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,1,6,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,1,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,8,7,6,1] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,3,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,3,6,5,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,3,6,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,6,5,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,6,7,5,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,7,6,5,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,5,3,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,5,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,3,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,6,7,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,7,6,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,6,5,3,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,6,5,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,7,5,6,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,7,6,5,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,4,3,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,4,3,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,4,3,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,4,3,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,4,3,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,3,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,4,6,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,4,5,3,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,4,5,3,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,5,3,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,5,7,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,5,6,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,6,5,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,5,4,3,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,5,4,3,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,4,3,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,4,7,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,5,4,6,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,5,6,4,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,5,4,3,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,6,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[4,3,2,7,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,2,8,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,2,8,5,7,6,1] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,6,7,5,1] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,4,1,6,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,4,1,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,4,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,4,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,4,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,4,6,5,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,4,6,7,5,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,4,7,6,5,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,4,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,4,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,4,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,4,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,4,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,4,7,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,6,4,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,6,7,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,7,6,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,5,7,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,5,6,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,6,5,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,1,6,8,7] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,1,7,8,6] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,6,1,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,8,6,7,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,2,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,2,6,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,7,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,7,6,5,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,2,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,2,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,2,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,4,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,4,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,4,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,4,7,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,4,5,2,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,4,5,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,4,5,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,5,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,6,5,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,5,4,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,5,4,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,5,4,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,5,4,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,4,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,6,4,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,5,4,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,6,7,1] => ([(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,5,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,5,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,6,5,1,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,6,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,6,5,7,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,6,7,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,7,6,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,5,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,5,7,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,6,5,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,6,5,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,7,5,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,7,6,5,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,2,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,4,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,4,7,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,6,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,5,4,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,5,4,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,4,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,4,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,6,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,5,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,6,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,3,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[2,1,4,6,3,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[2,4,1,6,3,5,8,7] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[2,4,6,1,3,5,8,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,4,3,6,8,5,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[2,4,1,3,6,8,5,7] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
[2,1,4,6,3,8,5,7] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[2,4,1,6,3,8,5,7] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,6,1,3,8,5,7] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[2,1,4,6,8,3,5,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,8,3,5,7] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[2,4,6,1,8,3,5,7] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8)
[2,4,6,8,1,3,5,7] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,1,3,6,5,7,8] => ([(2,3),(4,7),(5,6),(6,7)],8)
[2,1,4,6,3,5,7,8] => ([(2,3),(4,7),(5,6),(6,7)],8)
[2,4,1,6,3,5,7,8] => ([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[2,4,6,1,3,5,7,8] => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,3,7,5,8] => ([(1,2),(3,6),(4,5),(5,7),(6,7)],8)
[2,4,1,6,3,7,5,8] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,6,1,3,7,5,8] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[2,4,6,7,1,3,5,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,1,3,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[2,1,4,6,3,7,8,5] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,4,1,6,3,7,8,5] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,4,6,7,3,8,5] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,6,7,3,8,5] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
[2,4,6,1,7,3,8,5] => ([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[2,4,6,7,1,3,8,5] => ([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,1,4,6,7,8,3,5] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,6,7,8,3,5] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[2,4,6,7,8,1,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,3,7,5,8,6] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[2,4,1,3,7,5,8,6] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
[2,1,4,7,3,5,8,6] => ([(0,1),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[2,4,1,7,3,5,8,6] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,3,7,8,5,6] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,3,7,8,5,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8)
[2,4,1,7,3,8,5,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
[2,1,4,7,8,3,5,6] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,7,8,3,5,6] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[2,4,7,1,8,3,5,6] => ([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
[2,4,7,8,1,3,5,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,1,5,3,7,6,8] => ([(1,2),(3,6),(4,5),(5,7),(6,7)],8)
[2,4,5,1,3,7,6,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,1,7,3,6,8] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[2,4,1,5,3,7,8,6] => ([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
[2,4,5,1,3,7,8,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[2,1,4,5,7,3,8,6] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,4,1,5,7,3,8,6] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,5,1,7,3,8,6] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
[2,1,4,5,7,8,3,6] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,1,7,8,3,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,7,1,8,3,6] => ([(0,7),(1,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[2,4,5,7,8,1,3,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,3,8,5,6,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[2,4,1,3,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[2,1,4,8,3,5,6,7] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,4,1,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[2,4,8,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,4,3,5,8,6,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[2,4,1,5,3,8,6,7] => ([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
[2,1,4,5,8,3,6,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,4,1,5,8,3,6,7] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,5,1,8,3,6,7] => ([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,4,1,5,3,6,8,7] => ([(1,2),(3,6),(4,5),(5,7),(6,7)],8)
[2,4,1,5,6,3,8,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,4,5,1,6,3,8,7] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,6,1,3,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,5,6,8,3,7] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,4,1,5,6,8,3,7] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,4,5,1,6,8,3,7] => ([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,6,1,8,3,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[2,4,5,6,8,1,3,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,3,5,6,7,8] => ([(4,7),(5,6),(6,7)],8)
[2,4,1,5,3,6,7,8] => ([(3,7),(4,6),(5,6),(5,7)],8)
[2,4,5,1,3,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,5,6,3,7,8] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,4,5,1,6,3,7,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,6,1,3,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,5,6,7,3,8] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,4,5,6,1,7,3,8] => ([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,6,7,1,3,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,5,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,4,5,1,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,6,1,7,8,3] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,6,7,1,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,6,7,8,1,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,3,6,4,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[2,5,1,3,6,4,8,7] => ([(0,1),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[2,1,5,6,3,4,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,6,3,4,8,7] => ([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[2,5,6,1,3,4,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,3,6,8,4,7] => ([(0,1),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[2,5,1,3,6,8,4,7] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,6,1,3,8,4,7] => ([(0,7),(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,5,6,8,3,4,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,6,8,3,4,7] => ([(0,7),(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,6,8,1,3,4,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,5,1,3,6,4,7,8] => ([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[2,1,5,6,3,4,7,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,6,3,4,7,8] => ([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[2,1,5,3,6,7,4,8] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[2,1,5,6,3,7,4,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,6,3,7,4,8] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[2,5,6,1,3,7,4,8] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,6,7,3,4,8] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,1,7,3,4,8] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,1,5,3,6,7,8,4] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,5,1,3,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[2,1,5,6,3,7,8,4] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,6,3,7,8,4] => ([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,6,1,3,7,8,4] => ([(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,5,6,7,3,8,4] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,6,7,3,8,4] => ([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[2,5,6,7,1,3,8,4] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,6,7,8,3,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,6,7,8,3,4] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[2,5,6,1,7,8,3,4] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,6,7,1,8,3,4] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,6,7,8,1,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,1,5,3,7,4,8,6] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[2,5,1,3,7,4,8,6] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,5,7,3,4,8,6] => ([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[2,5,1,7,3,4,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
[2,5,7,1,3,4,8,6] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[2,1,5,3,7,8,4,6] => ([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[2,5,1,3,7,8,4,6] => ([(0,7),(1,5),(2,3),(2,4),(3,6),(4,6),(5,7),(6,7)],8)
[2,1,5,7,3,8,4,6] => ([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[2,1,5,7,8,3,4,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,7,8,3,4,6] => ([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,7,1,8,3,4,6] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[2,5,7,8,1,3,4,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,5,7,3,4,6,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,1,4,7,6,8] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[2,3,5,7,1,4,6,8] => ([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,3,5,1,7,4,8,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,5,7,1,4,8,6] => ([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,3,1,5,7,8,4,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[2,3,5,7,1,8,4,6] => ([(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,3,5,7,8,1,4,6] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,5,3,8,4,6,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,5,1,3,8,4,6,7] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,5,8,3,4,6,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,8,3,4,6,7] => ([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,1,3,4,6,7] => ([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,1,4,8,6,7] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[2,1,3,5,8,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[2,3,5,1,8,4,6,7] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,3,5,8,1,4,6,7] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,5,3,4,6,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[2,3,5,1,6,4,8,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,5,6,1,4,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,3,5,6,8,4,7] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[2,3,1,5,6,8,4,7] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[2,3,5,1,6,8,4,7] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,5,6,1,8,4,7] => ([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,6,8,1,4,7] => ([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,3,4,6,7,8] => ([(3,4),(5,7),(6,7)],8)
[2,5,1,3,4,6,7,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[2,3,5,1,4,6,7,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[2,3,5,6,1,4,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,5,6,7,1,4,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,1,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[2,3,5,6,1,7,8,4] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,6,7,1,8,4] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,6,7,8,1,4] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,3,7,4,8,5] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,1,3,7,4,8,5] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,6,7,3,4,8,5] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,7,3,4,8,5] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[2,6,7,1,3,4,8,5] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,3,7,8,4,5] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,3,7,8,4,5] => ([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,6,7,1,3,8,4,5] => ([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,7,8,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,1,7,8,3,4,5] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,6,7,1,8,3,4,5] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,7,8,1,3,4,5] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,1,6,3,7,4,5,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,7,3,4,5,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,6,7,1,3,4,5,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,3,4,7,5,8] => ([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[2,3,1,6,4,7,5,8] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[2,3,6,1,4,7,5,8] => ([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[2,1,6,3,4,7,8,5] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,6,1,3,4,7,8,5] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[2,3,6,1,4,7,8,5] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,1,3,6,7,4,8,5] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,3,6,7,8,4,5] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,6,7,8,4,5] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[2,3,6,1,7,8,4,5] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[2,3,6,7,1,8,4,5] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,3,6,7,8,1,4,5] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,1,6,3,8,4,5,7] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,3,8,4,5,7] => ([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,8,3,4,5,7] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,8,3,4,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[2,6,8,1,3,4,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,3,4,8,5,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,6,1,3,4,8,5,7] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,3,1,6,4,8,5,7] => ([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
[2,3,6,1,4,8,5,7] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,6,8,4,5,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[2,3,6,1,8,4,5,7] => ([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,1,6,3,4,5,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[2,6,1,3,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,1,3,6,4,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[2,3,6,1,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,3,4,1,6,8,5,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[2,3,4,6,1,8,5,7] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[2,3,4,6,8,1,5,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,1,3,4,5,7,8] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,1,3,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[2,3,1,6,4,5,7,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[2,3,6,1,4,5,7,8] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,3,4,6,1,5,7,8] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,3,4,6,7,1,5,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,6,1,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[2,3,4,6,7,8,1,5] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,3,8,4,5,6] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,1,3,8,4,5,6] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,1,7,8,3,4,5,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,1,8,3,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,7,8,1,3,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,3,4,8,5,6] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,3,7,4,8,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,7,4,8,5,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[2,3,7,1,4,8,5,6] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[2,1,3,7,8,4,5,6] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,7,8,4,5,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[2,3,7,8,1,4,5,6] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,7,3,4,5,8,6] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,7,1,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[2,3,1,7,4,5,8,6] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[2,3,7,1,4,5,8,6] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[2,1,3,4,7,5,8,6] => ([(2,3),(4,7),(5,6),(6,7)],8)
[2,3,4,1,7,5,8,6] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[2,3,4,7,1,5,8,6] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[2,1,3,4,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,4,7,8,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[2,3,4,1,7,8,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[2,3,4,7,1,8,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[2,3,4,7,8,1,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,7,3,4,5,6,8] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,1,3,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,3,7,1,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,1,3,4,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[2,3,1,4,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[2,3,4,1,7,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,3,4,7,1,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,3,4,5,7,1,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,3,4,5,7,1,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,4,5,7,8,1,6] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,3,4,5,6,7] => ([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,1,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,1,3,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,1,8,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,3,8,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,1,3,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,3,1,4,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,3,4,1,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
[2,3,4,8,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[2,1,3,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[2,3,1,4,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[2,3,4,1,5,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,3,4,5,1,8,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,3,4,5,8,1,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,3,4,5,6,8,1,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[3,1,4,2,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[3,4,1,2,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,6,2,5,8,7] => ([(0,1),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[3,4,1,6,2,5,8,7] => ([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,4,6,1,2,5,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,6,8,5,7] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
[3,4,1,2,6,8,5,7] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8)
[3,1,4,6,2,8,5,7] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,2,8,5,7] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
[3,1,4,6,8,2,5,7] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,4,1,6,8,2,5,7] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,4,6,8,1,2,5,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,4,2,6,5,7,8] => ([(2,3),(4,7),(5,6),(6,7)],8)
[3,4,1,2,6,5,7,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,6,7,5,8] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[3,4,1,2,6,7,5,8] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[3,4,1,6,2,7,5,8] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[3,4,1,6,7,2,5,8] => ([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,6,7,1,2,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[3,4,1,2,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[3,1,4,6,2,7,8,5] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,1,6,2,7,8,5] => ([(0,7),(1,7),(2,3),(2,4),(3,6),(4,6),(5,6),(5,7)],8)
[3,4,6,1,2,7,8,5] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[3,1,4,6,7,2,8,5] => ([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,6,7,2,8,5] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,1,7,2,8,5] => ([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8)
[3,1,4,6,7,8,2,5] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[3,4,1,6,7,8,2,5] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,1,7,8,2,5] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,4,6,7,1,8,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,6,7,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,7,5,8,6] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
[3,4,1,2,7,5,8,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8)
[3,1,4,7,2,5,8,6] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,7,1,2,5,8,6] => ([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,1,4,2,7,8,5,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8)
[3,4,1,2,7,8,5,6] => ([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8)
[3,4,7,1,8,2,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[3,4,7,8,1,2,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,7,5,6,8] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[3,4,1,2,7,5,6,8] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[3,4,1,2,5,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,5,2,7,6,8] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[3,4,1,5,2,7,6,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,5,7,2,6,8] => ([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,4,5,7,1,2,6,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,5,7,8,6] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[3,4,1,2,5,7,8,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[3,1,4,5,2,7,8,6] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[3,4,5,1,2,7,8,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[3,1,4,5,7,2,8,6] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,4,1,5,7,2,8,6] => ([(0,6),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[3,1,4,5,7,8,2,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,4,1,5,7,8,2,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,5,1,7,8,2,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,7,1,8,2,6] => ([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,4,5,7,8,1,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[3,4,1,2,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[3,4,1,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[3,4,8,1,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,4,2,5,8,6,7] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[3,4,1,2,5,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[3,4,1,5,2,8,6,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[3,1,4,5,8,2,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[3,4,1,5,8,2,6,7] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[3,4,5,8,1,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,1,2,5,6,8,7] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,1,2,6,8,7] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,5,6,2,8,7] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[3,4,1,5,6,2,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,1,6,2,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,5,6,8,2,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[3,4,1,5,6,8,2,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,4,5,6,1,8,2,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[3,4,5,6,8,1,2,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,5,6,7,8] => ([(4,7),(5,6),(6,7)],8)
[3,1,4,5,2,6,7,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[3,4,1,5,2,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,5,6,2,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,5,1,6,2,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,5,6,7,2,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[3,4,1,5,6,7,2,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,1,6,7,2,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,6,1,7,2,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,5,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[3,4,1,5,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,1,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,6,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,6,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,2,6,4,8,7] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[3,5,1,2,6,4,8,7] => ([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,5,6,2,4,8,7] => ([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,5,1,6,2,4,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,5,6,1,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,2,6,8,4,7] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,1,2,6,8,4,7] => ([(0,7),(1,5),(2,3),(2,4),(3,6),(4,6),(5,7),(6,7)],8)
[3,1,5,6,2,8,4,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
[3,1,5,6,8,2,4,7] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[3,5,1,6,8,2,4,7] => ([(0,6),(1,2),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,6,1,8,2,4,7] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[3,5,6,8,1,2,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,5,6,2,4,7,8] => ([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,5,1,6,2,4,7,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,5,6,1,2,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,2,6,7,4,8] => ([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[3,5,1,6,2,7,4,8] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,6,1,2,7,4,8] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,1,6,7,2,4,8] => ([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,6,7,1,2,4,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,2,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[3,5,1,2,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[3,1,5,6,2,7,8,4] => ([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,6,2,7,8,4] => ([(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,6,1,2,7,8,4] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,1,5,6,7,2,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[3,5,1,6,7,2,8,4] => ([(0,7),(1,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,5,6,1,7,2,8,4] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,6,7,1,2,8,4] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,1,5,6,7,8,2,4] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[3,5,1,6,7,8,2,4] => ([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,5,6,1,7,8,2,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,6,7,1,8,2,4] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,6,7,8,1,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,1,5,2,7,4,8,6] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,1,2,7,4,8,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
[3,1,5,7,2,4,8,6] => ([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,7)],8)
[3,5,7,1,2,4,8,6] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,2,7,8,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
[3,5,1,2,7,8,4,6] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[3,1,5,7,2,8,4,6] => ([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
[3,5,1,7,2,8,4,6] => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,5,7,8,2,4,6] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,7,8,2,4,6] => ([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,5,7,8,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,2,7,4,6,8] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,1,2,7,4,6,8] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[3,1,5,7,2,4,6,8] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,5,1,7,2,4,6,8] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,7,1,2,4,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,5,2,4,7,6,8] => ([(1,2),(3,6),(4,5),(5,7),(6,7)],8)
[3,5,1,2,4,7,6,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,5,4,7,6,8] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,3,5,2,4,7,6,8] => ([(2,3),(4,7),(5,6),(6,7)],8)
[3,1,2,5,7,4,6,8] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[1,3,2,5,7,4,6,8] => ([(2,3),(4,7),(5,6),(6,7)],8)
[1,3,5,2,7,4,6,8] => ([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[1,3,5,7,2,4,6,8] => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,1,2,4,7,8,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[3,1,2,5,7,4,8,6] => ([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
[1,3,5,2,7,4,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,5,7,2,4,8,6] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,3,2,5,7,8,4,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,2,7,8,4,6] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,3,5,7,2,8,4,6] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,3,5,7,8,2,4,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,5,2,8,4,6,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,1,2,8,4,6,7] => ([(0,7),(1,7),(2,3),(2,4),(3,6),(4,6),(5,6),(5,7)],8)
[3,1,5,8,2,4,6,7] => ([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,1,8,2,4,6,7] => ([(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,1,5,2,4,8,6,7] => ([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
[3,5,1,2,4,8,6,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[1,3,2,5,4,8,6,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,3,5,2,4,8,6,7] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[3,1,2,5,8,4,6,7] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[1,3,2,5,8,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[1,3,5,2,8,4,6,7] => ([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,3,5,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,1,2,4,6,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,5,4,6,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,3,5,2,4,6,8,7] => ([(2,3),(4,7),(5,6),(6,7)],8)
[1,3,5,2,6,4,8,7] => ([(1,2),(3,6),(4,5),(5,7),(6,7)],8)
[1,3,5,6,2,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,5,6,8,4,7] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[1,3,5,2,6,8,4,7] => ([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,3,5,6,2,8,4,7] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[1,3,5,6,8,2,4,7] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,2,4,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8)
[1,3,5,6,2,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,5,6,7,4,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,5,2,6,7,4,8] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,3,5,6,2,7,4,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,6,7,2,4,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,5,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,5,6,2,7,8,4] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,6,7,2,8,4] => ([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,6,7,8,2,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,7,4,8,5] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[3,6,1,2,7,4,8,5] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,1,7,2,4,8,5] => ([(0,6),(1,2),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,7,1,2,4,8,5] => ([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,2,7,8,4,5] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,6,7,2,8,4,5] => ([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,1,7,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,6,7,1,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,7,8,2,4,5] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,6,7,8,1,2,4,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,7,4,5,8] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[3,1,6,7,2,4,5,8] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,6,7,1,2,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,2,4,7,5,8] => ([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,2,6,4,7,5,8] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[1,3,2,6,4,7,5,8] => ([(2,3),(4,7),(5,6),(6,7)],8)
[1,3,6,2,4,7,5,8] => ([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,3,2,6,7,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,2,7,4,5,8] => ([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,6,2,4,7,8,5] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,1,2,4,7,8,5] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[3,1,2,6,4,7,8,5] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[1,3,6,2,4,7,8,5] => ([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[3,1,2,6,7,4,8,5] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[1,3,2,6,7,4,8,5] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,2,7,4,8,5] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,3,6,7,2,4,8,5] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,6,7,8,4,5] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[1,3,2,6,7,8,4,5] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,2,7,8,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,3,6,7,8,2,4,5] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,1,6,2,8,4,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
[3,6,1,2,8,4,5,7] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,8,2,4,5,7] => ([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[3,6,1,8,2,4,5,7] => ([(0,7),(1,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,6,8,1,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,4,8,5,7] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,2,4,8,5,7] => ([(0,6),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,3,2,6,4,8,5,7] => ([(1,2),(3,6),(4,5),(5,7),(6,7)],8)
[1,3,6,2,4,8,5,7] => ([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,1,2,6,8,4,5,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[3,6,1,2,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,6,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,6,2,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[3,1,2,4,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,3,4,6,2,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[3,1,2,4,6,8,5,7] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[1,3,2,4,6,8,5,7] => ([(2,3),(4,7),(5,6),(6,7)],8)
[1,3,4,6,8,2,5,7] => ([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,1,6,2,4,5,7,8] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[3,6,1,2,4,5,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[1,3,6,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[1,3,4,6,2,5,7,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[3,1,2,4,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,4,6,2,7,5,8] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,3,4,6,7,2,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,2,4,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,4,6,7,2,8,5] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,2,8,4,5,6] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[3,7,1,2,8,4,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,8,2,4,5,6] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,7,1,8,2,4,5,6] => ([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,7,8,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,2,4,8,5,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,2,7,4,8,5,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[1,3,2,7,4,8,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,2,4,8,5,6] => ([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,2,7,8,4,5,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,3,7,8,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,2,4,5,8,6] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,7,1,2,4,5,8,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,7,2,4,5,8,6] => ([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[3,1,2,4,7,5,8,6] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[1,3,2,4,7,5,8,6] => ([(2,3),(4,7),(5,6),(6,7)],8)
[1,3,4,2,7,5,8,6] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[1,3,4,7,2,5,8,6] => ([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[3,1,2,4,7,8,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[1,3,2,4,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,4,2,7,8,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[1,3,4,7,8,2,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,7,2,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[3,7,1,2,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,7,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,3,7,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[3,1,2,4,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,4,7,2,5,6,8] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[3,1,2,4,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[3,1,2,4,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,4,5,7,8,2,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[3,8,1,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,8,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,8,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[3,1,2,4,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,3,4,2,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,4,8,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[3,1,2,4,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,2,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,4,5,2,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,3,4,5,8,2,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[3,1,2,4,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[1,3,4,5,6,8,2,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[4,1,5,2,6,3,8,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,2,6,3,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,6,2,3,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,6,2,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,5,2,6,8,3,7] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,5,1,2,6,8,3,7] => ([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,5,6,2,8,3,7] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[4,5,1,6,2,8,3,7] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,1,2,8,3,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,5,6,8,2,3,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,6,8,2,3,7] => ([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,1,8,2,3,7] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,8,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,5,2,6,3,7,8] => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,5,6,2,3,7,8] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,6,2,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,2,6,7,3,8] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,6,2,7,3,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,6,1,2,7,3,8] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,5,6,7,2,3,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,6,7,2,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,1,7,2,3,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,2,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[4,5,1,2,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,6,2,7,8,3] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,6,1,2,7,8,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,5,6,7,2,8,3] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,6,7,2,8,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,1,7,2,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,7,1,2,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,5,6,7,8,2,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,6,7,8,2,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,1,7,8,2,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,7,1,8,2,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,5,2,7,3,8,6] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[4,5,1,2,7,3,8,6] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[4,5,1,7,2,3,8,6] => ([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,5,2,7,8,3,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,5,1,2,7,8,3,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,5,7,2,8,3,6] => ([(0,6),(1,2),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,7,2,8,3,6] => ([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,5,7,1,2,8,3,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,5,1,7,8,2,3,6] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,8,1,2,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,2,7,3,6,8] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[4,5,1,2,7,3,6,8] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,5,2,3,7,6,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,2,3,7,6,8] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,5,3,7,6,8] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[1,4,2,5,3,7,6,8] => ([(2,3),(4,7),(5,6),(6,7)],8)
[1,4,5,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,5,7,3,6,8] => ([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,4,2,5,7,3,6,8] => ([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,4,5,2,7,3,6,8] => ([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,5,7,2,3,6,8] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,5,2,3,7,8,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[4,1,2,5,3,7,8,6] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[1,4,5,2,3,7,8,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[4,1,2,5,7,3,8,6] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,2,5,7,3,8,6] => ([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,4,5,2,7,3,8,6] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,4,5,7,2,3,8,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,2,5,7,8,3,6] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[1,4,2,5,7,8,3,6] => ([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,5,2,7,8,3,6] => ([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,5,7,8,2,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,2,8,3,6,7] => ([(0,5),(1,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)
[4,5,1,2,8,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[4,5,1,8,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,8,1,2,3,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,5,2,3,8,6,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)
[4,5,1,2,3,8,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[4,1,2,5,3,8,6,7] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[1,4,2,5,3,8,6,7] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[4,1,2,5,8,3,6,7] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,5,2,8,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[1,4,2,5,3,6,8,7] => ([(2,3),(4,7),(5,6),(6,7)],8)
[4,1,2,5,6,3,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,5,2,6,3,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,5,6,8,3,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,4,2,5,6,8,3,7] => ([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,4,5,2,6,8,3,7] => ([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,5,6,8,2,3,7] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,2,3,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,5,3,6,7,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8)
[1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,5,6,3,7,8] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,5,2,6,3,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,6,2,3,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,5,6,7,3,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,2,5,6,7,3,8] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,4,5,2,6,7,3,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,5,6,2,7,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,5,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,2,5,6,7,8,3] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,4,5,2,6,7,8,3] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,6,2,7,8,3] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,6,7,2,8,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,6,7,8,2,3] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,7,3,8,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8)
[4,1,6,7,2,3,8,5] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,6,7,1,2,3,8,5] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,7,8,3,5] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8)
[4,6,1,7,2,8,3,5] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[4,6,7,1,2,8,3,5] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,6,7,8,2,3,5] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,7,8,2,3,5] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,7,1,8,2,3,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,8,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,6,2,7,3,5,8] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[4,6,1,2,7,3,5,8] => ([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,6,7,2,3,5,8] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,1,7,2,3,5,8] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,7,1,2,3,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,3,7,5,8] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[4,6,1,2,3,7,5,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,1,2,6,3,7,5,8] => ([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,4,2,6,3,7,5,8] => ([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[4,1,2,6,7,3,5,8] => ([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[1,4,2,6,7,3,5,8] => ([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,6,7,2,3,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,3,7,8,5] => ([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,1,2,6,3,7,8,5] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,4,6,2,3,7,8,5] => ([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[4,1,2,6,7,3,8,5] => ([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,4,6,2,7,3,8,5] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,4,2,6,7,8,3,5] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,4,6,2,7,8,3,5] => ([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,4,6,7,2,8,3,5] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,4,6,7,8,2,3,5] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,8,3,5,7] => ([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,1,2,8,3,5,7] => ([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8)
[4,1,6,8,2,3,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,1,8,2,3,5,7] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,8,1,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,3,8,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)
[4,6,1,2,3,8,5,7] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[4,1,2,6,3,8,5,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,6,2,3,8,5,7] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,4,2,6,8,3,5,7] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,4,6,8,2,3,5,7] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,6,2,3,5,8,7] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,3,5,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,6,3,5,8,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,4,2,6,3,5,8,7] => ([(1,2),(3,6),(4,5),(5,7),(6,7)],8)
[1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[1,4,2,3,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,2,4,6,3,5,8,7] => ([(2,3),(4,7),(5,6),(6,7)],8)
[4,1,2,3,6,8,5,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[1,2,4,3,6,8,5,7] => ([(2,3),(4,7),(5,6),(6,7)],8)
[1,2,4,6,3,8,5,7] => ([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[1,2,4,6,8,3,5,7] => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,6,2,3,5,7,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,6,3,5,7,8] => ([(3,7),(4,6),(5,6),(5,7)],8)
[1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,6,5,7,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8)
[4,1,2,3,6,7,5,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[4,1,2,3,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
[1,4,2,3,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,2,4,6,7,8,3,5] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,2,8,3,5,6] => ([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8)
[4,7,1,2,8,3,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[4,1,7,8,2,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,7,1,8,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,7,2,3,8,5,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,2,3,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,7,3,8,5,6] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,4,7,2,3,8,5,6] => ([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,2,7,8,3,5,6] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8)
[1,4,2,7,8,3,5,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,4,7,2,8,3,5,6] => ([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,4,7,8,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,2,3,5,8,6] => ([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,2,3,5,8,6] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,1,2,7,3,5,8,6] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,2,7,3,5,8,6] => ([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,4,7,2,3,5,8,6] => ([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,1,2,3,7,5,8,6] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[1,4,2,3,7,5,8,6] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[1,2,4,7,3,5,8,6] => ([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[4,1,2,3,7,8,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[1,4,2,3,7,8,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[1,2,4,3,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,4,7,3,8,5,6] => ([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,2,4,7,8,3,5,6] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,7,2,3,5,6,8] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,2,3,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,7,3,5,6,8] => ([(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,4,2,7,3,5,6,8] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,7,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[1,2,4,7,3,5,6,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[4,1,2,3,5,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,4,2,3,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[1,2,4,5,7,3,6,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[4,1,2,3,5,7,8,6] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,2,4,5,7,8,3,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,8,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,4,2,8,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
[1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,2,4,8,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[4,1,2,3,5,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,2,4,3,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,2,4,5,8,3,6,7] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[4,1,2,3,5,6,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[1,2,4,5,6,8,3,7] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[5,1,6,2,7,3,8,4] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,1,2,7,3,8,4] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,6,7,2,3,8,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,6,1,7,2,3,8,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,7,1,2,3,8,4] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,6,1,2,7,8,3,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,7,2,8,3,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,7,1,2,8,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,7,8,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,6,1,7,8,2,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,1,8,2,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,6,2,7,3,4,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,1,7,2,3,4,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,2,3,7,4,8] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,6,3,7,4,8] => ([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,2,6,3,7,4,8] => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,2,6,7,3,4,8] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,7,3,4,8] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,6,2,3,7,8,4] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,6,1,2,3,7,8,4] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,2,6,3,7,8,4] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,2,6,3,7,8,4] => ([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,6,2,3,7,8,4] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,2,6,7,3,8,4] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,6,7,2,3,8,4] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,1,2,6,7,8,3,4] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,7,8,3,4] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,2,7,8,3,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,7,2,8,3,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,7,8,2,3,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,6,2,8,3,4,7] => ([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,1,2,8,3,4,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,1,8,2,3,4,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,8,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,6,2,3,8,4,7] => ([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,6,1,2,3,8,4,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,1,2,6,3,8,4,7] => ([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,2,6,3,8,4,7] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,1,2,6,8,3,4,7] => ([(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,8,3,4,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,2,8,3,4,7] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,1,6,2,3,4,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,1,2,3,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,6,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,2,3,4,8,7] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,6,4,8,7] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[1,2,5,3,6,4,8,7] => ([(2,3),(4,7),(5,6),(6,7)],8)
[5,1,2,3,6,8,4,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,5,2,3,6,8,4,7] => ([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,2,5,6,3,8,4,7] => ([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,2,5,6,8,3,4,7] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,6,2,3,4,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,6,3,4,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,2,3,4,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,3,6,4,7,8] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,5,2,3,6,4,7,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8)
[1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,3,6,7,4,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,5,2,3,6,7,4,8] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,2,5,3,6,7,4,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[1,2,5,6,3,7,4,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,3,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,5,2,3,6,7,8,4] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,2,5,3,6,7,8,4] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,2,5,6,3,7,8,4] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,5,6,7,3,8,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,6,7,8,3,4] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,2,8,3,4,6] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,7,1,2,8,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,7,8,2,3,4,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,7,1,8,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,7,8,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,2,7,3,8,4,6] => ([(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,2,7,3,8,4,6] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,7,2,3,8,4,6] => ([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,1,2,7,8,3,4,6] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,2,7,8,3,4,6] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,7,2,8,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,7,8,2,3,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,2,3,4,8,6] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[5,7,1,2,3,4,8,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[5,1,2,7,3,4,8,6] => ([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,7,3,4,8,6] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[5,1,2,3,7,4,8,6] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,5,2,3,7,4,8,6] => ([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,2,5,3,7,4,8,6] => ([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[1,2,5,7,3,4,8,6] => ([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[5,1,2,3,7,8,4,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[1,5,2,3,7,8,4,6] => ([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[1,2,5,3,7,8,4,6] => ([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,2,5,7,3,8,4,6] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,2,5,7,8,3,4,6] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,2,3,4,6,8] => ([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,2,3,4,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,7,4,6,8] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,2,5,3,7,4,6,8] => ([(3,7),(4,6),(5,6),(5,7)],8)
[1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,2,5,3,4,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8)
[5,1,2,3,4,7,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,5,2,3,4,7,8,6] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,2,5,3,4,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,2,3,5,7,4,8,6] => ([(3,7),(4,6),(5,6),(5,7)],8)
[1,2,3,5,7,8,4,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,2,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,8,3,4,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,2,3,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,5,2,3,8,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,2,5,3,8,4,6,7] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,2,3,4,8,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[1,2,3,5,8,4,6,7] => ([(3,7),(4,7),(5,6),(6,7)],8)
[5,1,2,3,4,6,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,2,3,4,6,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,2,5,3,4,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[1,2,3,5,6,8,4,7] => ([(3,7),(4,7),(5,6),(6,7)],8)
[1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[6,1,7,2,8,3,4,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,2,8,3,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,8,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,1,8,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,1,7,2,3,8,4,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,2,3,8,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,7,3,8,4,5] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,2,7,3,8,4,5] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,7,2,3,8,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,7,8,3,4,5] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,6,2,7,8,3,4,5] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,6,7,2,8,3,4,5] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,1,7,2,3,4,8,5] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,2,3,4,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,7,3,4,8,5] => ([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,7,3,4,8,5] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,7,4,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,6,2,3,7,4,8,5] => ([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,2,6,3,7,4,8,5] => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,6,7,3,4,8,5] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,2,3,7,8,4,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,2,3,7,8,4,5] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,6,3,7,8,4,5] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,6,7,3,8,4,5] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,1,7,2,3,4,5,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,7,3,4,5,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,7,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,7,4,5,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,6,3,7,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,7,3,4,5,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,4,7,5,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,6,2,3,4,7,5,8] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,2,6,3,4,7,5,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8)
[1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,6,2,3,4,7,8,5] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,2,6,3,4,7,8,5] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,2,3,6,4,7,8,5] => ([(3,7),(4,7),(5,6),(6,7)],8)
[1,2,3,6,7,4,8,5] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,7,8,4,5] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,2,3,4,5,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,2,3,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,8,3,4,5,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,8,3,4,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,8,4,5,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,8,3,4,5,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,4,8,5,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,6,2,3,4,8,5,7] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,2,6,3,4,8,5,7] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,2,3,6,4,8,5,7] => ([(3,7),(4,6),(5,6),(5,7)],8)
[1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8)
[1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[7,1,8,2,3,4,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,8,3,4,5,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,2,3,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,8,4,5,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,3,8,4,5,6] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,3,8,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,4,8,5,6] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,7,8,4,5,6] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,7,2,3,4,5,8,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,2,7,3,4,5,8,6] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,2,3,7,4,5,8,6] => ([(3,7),(4,7),(5,6),(6,7)],8)
[1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8)
[1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[5,3,2,6,1,4,8,7] => ([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,4,8,1,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,3,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,3,8,1,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,2,3,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,1,3,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,4,2,8,7] => ([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,1,3,2,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,2,8,1,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,8,2,1,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,8,1,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,3,1,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,1,3,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,4,8,2,6] => ([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,4,8,3,6] => ([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,4,7,6,2] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,1,3,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,1,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,3,7,1,5,2] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,4,3,6,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,7,3,1,4,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,1,3,4,2] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,7,3,5,2] => ([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,7,4,5,2] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,7,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,6,8,4,3,5] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,6,8,4,2,5] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,8,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,1,3,2,4] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,2,1,8,3,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,7,2,8,1,3,5] => ([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,4,6,2,8,3,1,5] => ([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,7,3,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,7,4,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,6,8,4,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,8,1,4,5] => ([(0,2),(0,3),(0,7),(1,2),(1,3),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,1,8,4,6] => ([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,2,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,8,7,6,5] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,1,7,6,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,2,8,7,1,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,3,2,8,6,5,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,5,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,6,5,1,3] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,8,2,7,1,5,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,4,8,2,1,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,5,8,1,2,7,6,3] => ([(0,2),(0,3),(0,7),(1,2),(1,3),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,2,7,6,4] => ([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,5,8,3,7,6,4] => ([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,7,3,5,4] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,7,2,5,4] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,8,1,7,2,5,3] => ([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,6,8,7,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[7,5,8,6,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,1,4,2,3] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,1,6,5,2,3] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,8,6,5,2,4] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,6,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,6,5,4,2] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,1,6,5,3,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,4,6,7,8] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,5,1,3,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,4,1,3,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,4,5,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,2,6,1,3,5,7,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,1,2,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,4,1,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,2,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,1,2,3,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,2,7,1,3,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,3,7,1,2,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,1,2,3,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,3,5,1,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,1,2,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,2,3,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,2,8,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[5,4,8,1,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,2,8,1,3,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,3,8,1,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,1,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,5,8,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,2,8,1,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[7,3,8,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,8,1,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,5,8,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,2,4,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,1,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,5,7,1,4,6,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,2,5,7,1,3,6,8] => ([(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,4,7,1,3,6,8] => ([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,7,1,3,5,8] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,2,6,7,1,3,4,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,3,6,7,1,2,4,8] => ([(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,5,7,1,3,4,8] => ([(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,1,2,4,8] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,1,3,6,7] => ([(0,6),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,4,8,1,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,8,1,3,5,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,2,6,8,1,3,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,4,8,1,3,5,7] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,3,4,8,1,2,5,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,8,1,2,4,7] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,8,1,2,3,7] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,8,1,4,5,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,7,8,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,8,1,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,8,1,3,4,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,3,7,8,1,2,4,5] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,7,8,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,4,8,1,3,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,4,8,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,8,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,8,1,2,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,6,8,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,3,4,6,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,6,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,5,7,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,7,1,3,4,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,7,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,2,5,1,4,7,8] => ([(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,5,1,3,7,8] => ([(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,1,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,4,1,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,2,5,1,4,6,8] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,1,2,6,8] => ([(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,2,4,1,3,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,2,6,1,4,5,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,1,2,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,6,1,3,4,8] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,2,5,1,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,5,1,3,6,7] => ([(0,7),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,1,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,4,1,2,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,2,6,1,4,5,7] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,8,4,6,1,2,3,7] => ([(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,2,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,1,3,4,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,8,3,7,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,8,4,7,1,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,7,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,8,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[7,8,2,4,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,5,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,5,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,6,1,5,7,8] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,1,4,7,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,1,3,7,8] => ([(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,2,5,1,4,7,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,4,1,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,7,1,5,6,8] => ([(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,2,7,1,4,6,8] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,7,1,4,5,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,2,7,1,3,5,8] => ([(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,3,7,1,2,5,8] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,2,7,1,3,4,8] => ([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,2,4,8] => ([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,1,4,6,8] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,1,3,6,8] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,6,1,4,5,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,6,1,2,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,1,3,4,8] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,1,2,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,5,1,2,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,2,8,1,3,5,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,4,3,8,1,2,5,7] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,8,1,3,4,7] => ([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,3,8,1,2,4,7] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,3,2,8,1,4,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,2,8,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,3,8,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,1,2,4,6] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,5,4,8,1,2,3,6] => ([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,1,3,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,3,2,5,1,4,6,7] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,1,3,6,7] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,1,4,5,7] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,6,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,2,4,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,1,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,7,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,3,7,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,7,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,7,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,2,4,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,5,8,1,4,7] => ([(0,5),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,4,8,1,3,7] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,2,5,8,1,3,6] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,3,5,8,1,2,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,2,4,8,1,3,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,3,4,8,1,2,6] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,3,6,8,1,2,5] => ([(0,1),(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,2,6,8,1,3,4] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,7,4,6,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,3,4,8,1,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,5,8,1,2,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,2,5,7,1,4,6] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,7,1,2,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,2,4,7,1,3,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,2,6,7,1,4,5] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,6,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,3,6,7,1,2,4] => ([(0,1),(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,5,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,4,5,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,4,6,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,5,6,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,5,6,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,6,8,1,5,7] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,2,6,8,1,4,7] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,2,6,8,1,3,7] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,6,8,1,2,7] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,5,8,1,4,7] => ([(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,5,8,1,2,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,4,8,1,3,7] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,7,8,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,2,7,8,1,4,6] => ([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,2,7,8,1,3,6] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,3,7,8,1,2,6] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,7,8,1,3,5] => ([(0,2),(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,8,1,2,5] => ([(0,1),(0,2),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,2,7,8,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,8,1,3,6] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,5,8,1,2,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,2,6,8,1,3,4] => ([(0,3),(0,4),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,8,1,2,4] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,2,4,8,1,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,5,8,1,2,4] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,7,1,4,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,7,1,3,6] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,7,1,3,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,7,1,4,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,6,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,6,7,1,2,4] => ([(0,1),(0,2),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,7,1,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,7,1,2,4] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,6,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,6,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,6,1,5,8] => ([(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,2,6,1,4,8] => ([(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,2,6,1,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,2,5,1,4,8] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,5,1,3,8] => ([(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,5,1,4,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,6,1,5,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,6,1,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,8,2,6,1,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,3,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,2,5,1,4,7] => ([(0,7),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,2,5,1,3,7] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,8,3,5,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,8,2,4,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,5,8,3,4,1,2,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,2,7,1,5,6] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,7,1,4,6] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,8,2,7,1,3,6] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,3,7,1,2,6] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,2,7,1,4,5] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,2,7,1,3,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[7,3,8,2,5,1,4,6] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,3,5,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,2,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,5,8,2,6,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[7,5,8,4,6,1,2,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,2,5,1,3,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,5,1,4,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,5,1,3,7] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,4,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,2,5,1,4,6] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,5,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,2,6,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,6,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,6,1,3,4] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,2,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,1,6,8] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,7,1,5,8] => ([(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,7,1,4,8] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,7,1,3,8] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,6,1,4,8] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,6,1,3,8] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,1,6,7] => ([(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,8,1,4,7] => ([(0,2),(1,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,8,1,3,7] => ([(0,1),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,8,1,2,7] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,2,8,1,4,6] => ([(0,2),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,8,1,3,6] => ([(0,1),(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,8,1,4,5] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,8,1,2,5] => ([(0,1),(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,2,8,1,3,4] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,6,1,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,6,1,3,7] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,2,4,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,7,1,4,6] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,7,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,7,1,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,2,6,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,6,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,6,1,3,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,2,6,1,4] => ([(0,1),(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,2,6,1,3] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,3,5,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,6,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,8,2,7,1,6] => ([(0,1),(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,7,1,5] => ([(0,1),(0,4),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,2,7,1,4] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,8,3,7,1,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,8,2,6,1,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,3,8,2,6,1,4] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,8,2,6,1,3] => ([(0,1),(0,4),(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,3,8,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,8,2,5,1,3] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,2,4,1,3] => ([(0,1),(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,2,6,1,4] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,2,6,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,7,2,5,1,4] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,7,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,7,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,2,8,1,7] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,2,8,1,3] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,2,7,1,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,2,6,1,5] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,2,6,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,4,2,6,1,3] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,7,5,6] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,6,4,5,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,7,4,5,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,6,4,8,5] => ([(0,7),(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,3,8,7,4,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6)],8)
[8,1,2,3,6,7,4,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,2,8,3,7,5,6] => ([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[8,1,2,5,3,4,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,5,3,4,8,6] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,3,4,5,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,3,4,8,5] => ([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,3,8,4,7] => ([(0,7),(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,3,7,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,6,3,7,4,5] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,3,7,8,4] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,8,6,3,5,7] => ([(0,7),(1,4),(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,1,2,8,7,3,5,6] => ([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,1,2,7,6,3,8,5] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6)],8)
[8,1,2,5,6,3,4,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,5,7,3,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,6,3,4,5] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,5,6,3,8,4] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,2,5,8,7,3,6] => ([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,8,6,7,3,5] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,5,6,7,3,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,2,4,7,5,6] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,1,8,2,6,4,5,7] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,1,8,2,7,4,5,6] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,1,7,2,6,4,8,5] => ([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[3,1,5,2,8,7,4,6] => ([(0,4),(1,2),(1,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[3,1,8,2,6,7,4,5] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,3,5,8,6] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,3,8,5,7] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,1,4,2,3,7,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,4,2,3,7,8,5] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,2,3,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,3,4,8,6] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,7,2,3,4,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,3,8,4,7] => ([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,1,5,2,3,7,4,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,3,7,4,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,3,7,8,4] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,8,3,6,7] => ([(0,7),(1,4),(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,4,2,7,3,8,6] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,6,3,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,2,7,3,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,6,3,8,5] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,2,6,3,4,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,7,3,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,2,6,3,4,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,2,6,3,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,6,8,3,7] => ([(0,6),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,8,7,3,6] => ([(0,7),(1,3),(1,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,4,2,6,7,3,5] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,6,7,3,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,4,8,2,7,5,6] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[3,1,8,5,2,4,6,7] => ([(0,7),(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,5,2,4,8,6] => ([(0,3),(1,4),(2,6),(2,7),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,1,8,6,2,4,5,7] => ([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,1,7,6,2,4,8,5] => ([(0,4),(1,2),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,2,8,4,7] => ([(0,3),(1,2),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,8,5,2,7,4,6] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,6,2,7,4,5] => ([(0,1),(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,2,7,8,4] => ([(0,7),(1,7),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,5,2,3,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,4,5,2,3,8,6] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,6,2,3,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,8,2,3,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,6,2,3,8,5] => ([(0,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,5,2,3,4,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,5,2,3,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,6,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,6,5,2,3,8,4] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,2,8,3,7] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,2,7,3,6] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,2,7,3,5] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,5,2,7,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,2,7,8,3] => ([(0,6),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,4,8,6,2,5,7] => ([(0,6),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,7,2,5,6] => ([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,7,6,2,8,5] => ([(0,7),(1,4),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,8,5,6,2,4,7] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,7,2,4,6] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,6,2,4,5] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,5,6,2,8,4] => ([(0,7),(1,2),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,5,6,2,3,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,5,7,2,3,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,6,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,6,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,5,6,2,8,3] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,4,5,8,7,2,6] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,4,8,6,7,2,5] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,6,7,2,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,4,5,6,7,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,1,3,4,7,5,6] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,6,4,5,7] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,7,4,5,6] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,1,3,6,4,8,5] => ([(0,7),(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,3,8,7,4,6] => ([(0,7),(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,8,1,3,6,7,4,5] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,1,8,3,7,5,6] => ([(0,5),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,8,1,5,3,4,6,7] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,3,4,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,1,6,3,4,5,7] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,1,6,3,4,8,5] => ([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,5,3,8,4,7] => ([(0,3),(1,4),(2,6),(2,7),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,8,1,5,3,7,4,6] => ([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,5,3,7,8,4] => ([(0,6),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,6,3,5,7] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,7,3,5,6] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7),(6,7)],8)
[2,4,1,7,6,3,8,5] => ([(0,7),(1,3),(2,3),(2,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,1,5,6,3,4,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,1,5,7,3,4,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,6,3,4,5] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,6,3,8,4] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,8,7,3,6] => ([(0,4),(1,7),(2,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[2,4,1,8,6,7,3,5] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,5,6,7,3,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,1,2,4,5,8,6] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,2,4,8,5,7] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,3,1,2,4,7,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,1,2,4,7,8,5] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,1,2,8,4,6,7] => ([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[5,3,1,2,7,4,8,6] => ([(0,5),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,3,1,2,6,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,1,2,7,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,1,2,6,4,8,5] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,6,8,4,7] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[5,3,1,2,8,7,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(6,7)],8)
[8,3,1,2,6,7,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,1,2,6,7,8,4] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,4,1,2,3,5,8,6] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,1,2,3,8,5,7] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,4,1,2,3,7,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,1,2,3,7,8,5] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,2,3,4,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,3,7,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[8,6,1,2,3,7,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,1,2,8,3,6,7] => ([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,4,1,2,7,3,8,6] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7),(6,7)],8)
[8,4,1,2,6,3,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,2,6,3,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,1,2,6,3,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,2,7,3,4,6] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,7,1,2,6,3,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,2,6,3,8,4] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,4,1,2,6,8,3,7] => ([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,2,8,7,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,6,7,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,6,7,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,2,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,1,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6)],8)
[4,3,1,7,2,5,8,6] => ([(0,7),(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,3,1,6,2,8,5,7] => ([(0,4),(1,2),(1,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[4,3,1,8,2,7,5,6] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(6,7)],8)
[4,3,1,6,2,7,8,5] => ([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,6)],8)
[8,3,1,5,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,1,5,2,4,8,6] => ([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,8,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[7,3,1,6,2,4,8,5] => ([(0,5),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,5,2,8,4,7] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,1,5,2,7,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,1,6,2,7,4,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,1,5,2,7,8,4] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,5,2,3,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,2,3,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,8,2,3,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,4,1,6,2,3,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,1,5,2,3,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,5,2,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,5,2,3,8,4] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,5,2,8,3,7] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,2,7,3,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,2,7,3,5] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,5,2,7,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,5,2,7,8,3] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,8,2,6,7] => ([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,7,2,8,6] => ([(0,4),(1,7),(2,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[4,3,1,8,6,2,5,7] => ([(0,7),(1,3),(1,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,1,8,7,2,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,7,6,2,8,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[8,3,1,5,6,2,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,7,2,4,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,2,4,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,6,2,8,4] => ([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,1,5,6,2,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,7,2,3,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,7,6,2,3,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,6,2,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,5,6,2,8,3] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,6,8,2,7] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,1,5,8,7,2,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,6,7,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,1,5,6,7,2,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,5,6,7,2,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,1,5,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,8,1,4,7,5,6] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,8,1,6,4,5,7] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,8,1,7,4,5,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,7,1,6,4,8,5] => ([(0,4),(1,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,8,7,4,6] => ([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,6)],8)
[2,3,8,1,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,4,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,3,5,8,6] => ([(0,7),(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,1,3,8,5,7] => ([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,3,7,5,6] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,1,3,7,8,5] => ([(0,4),(1,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,1,3,4,6,7] => ([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,1,3,4,8,6] => ([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,3,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,1,3,8,4,7] => ([(0,4),(1,2),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,1,3,7,4,6] => ([(0,5),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,1,3,7,4,5] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,1,3,7,8,4] => ([(0,5),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,1,8,3,6,7] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6)],8)
[2,5,4,1,7,3,8,6] => ([(0,7),(1,3),(2,3),(2,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,1,6,3,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,1,7,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,4,1,6,3,8,5] => ([(0,6),(1,5),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,5,1,6,3,4,7] => ([(0,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,1,7,3,4,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,7,8,1,6,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,5,1,6,3,8,4] => ([(0,6),(1,4),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,1,6,8,3,7] => ([(0,7),(1,4),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,4,1,8,7,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[2,8,4,1,6,7,3,5] => ([(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,5,1,6,7,3,4] => ([(0,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,1,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,4,1,2,5,8,6] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,4,1,2,8,5,7] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,4,1,2,7,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,4,1,2,7,8,5] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,5,1,2,4,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,2,4,8,5] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,1,2,8,4,7] => ([(0,1),(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,2,7,4,6] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,1,2,7,4,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,1,2,7,8,4] => ([(0,6),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,2,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,1,2,3,8,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,5,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,5,1,2,3,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,4,1,2,8,3,7] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,2,7,3,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,2,7,3,5] => ([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,5,1,2,7,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,4,1,2,7,8,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,1,8,2,6,7] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,4,1,7,2,8,6] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,6,2,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,7,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,6,2,8,5] => ([(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,5,1,6,2,4,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,7,2,4,6] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,1,6,2,4,5] => ([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,5,1,6,2,8,4] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,6,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,7,2,3,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,6,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,1,6,2,3,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,1,6,2,8,3] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,1,6,8,2,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,1,8,7,2,6] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,4,1,6,7,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,6,7,2,4] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,6,7,2,3] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,4,1,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,4,8,1,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,8,5,1,4,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,1,4,8,6] => ([(0,6),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,6,1,4,5,7] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,6,1,4,8,5] => ([(0,5),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,1,8,4,7] => ([(0,7),(1,7),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,8,5,1,7,4,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,8,6,1,7,4,5] => ([(0,6),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,1,7,8,4] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,5,1,3,6,7] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,4,5,1,3,8,6] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,1,3,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,1,3,5,6] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,7,4,6,1,3,8,5] => ([(0,6),(1,4),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,5,1,3,4,7] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,5,1,3,4,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,6,1,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,6,5,1,3,8,4] => ([(0,4),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,1,8,3,7] => ([(0,7),(1,2),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,5,1,7,3,6] => ([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,4,6,1,7,3,5] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,5,1,7,3,4] => ([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,1,7,8,3] => ([(0,7),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,4,5,1,2,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,4,6,1,2,8,5] => ([(0,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,5,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,5,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,6,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,5,1,2,8,4] => ([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,1,2,8,3] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,1,8,2,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,4,5,1,7,2,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,4,6,1,7,2,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,5,1,7,2,4] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,1,7,2,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,1,7,8,2] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,4,8,6,1,5,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,8,7,1,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,7,6,1,8,5] => ([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,8,5,6,1,4,7] => ([(0,6),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,8,5,7,1,4,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,7,6,1,4,5] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,6,1,8,4] => ([(0,7),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,4,5,6,1,3,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,5,7,1,3,6] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,6,1,3,5] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,5,6,1,8,3] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,4,5,7,1,2,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,4,7,6,1,2,5] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,5,6,1,2,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,5,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,4,5,8,7,1,6] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,8,6,7,1,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,8,5,6,7,1,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,4,5,6,7,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,2,6,1,4,8,7] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,6,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,2,7,4,8,1,6] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,2,7,4,8,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,2,3,8,6,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,3,8,1,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,2,3,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,2,1,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,6,4,2,8,7] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,1,3,2,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,3,2,8,1,6] => ([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,2,8,6,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,8,2,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,8,2,1,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,8,1,2,5] => ([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,3,1,8,2,6] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,1,3,8,2,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,4,8,2,6] => ([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,4,8,3,6] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,4,8,6,3] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,1,7,4,8,6,2] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,1,3,8,6,2] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,1,8,6,2] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,7,3,8,1,5,2] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[4,6,7,3,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,3,8,5,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,3,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[5,6,7,8,1,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,1,8,3,5,2] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,1,7,8,4,5,2] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,8,4,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,7,8,4,3,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,8,4,2,5] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,8,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,3,2,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,1,8,3,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,6,7,2,8,1,3,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,7,2,8,3,1,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,2,8,3,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,2,7,8,4,5,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,8,4,1,5] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,8,1,4,5] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,2,7,1,8,4,6] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[3,4,2,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,7,8,6,5] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,1,8,6,4] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7)],8)
[3,6,2,7,8,1,5,4] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,6,2,7,8,5,1,4] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,2,7,8,5,4,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,8,5,3,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,8,5,1,3] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[4,6,7,2,8,1,5,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7)],8)
[4,5,7,2,1,8,6,3] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,5,7,1,2,8,6,3] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,7,2,8,6,4] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[2,1,5,7,3,8,6,4] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,8,3,5,4] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,8,2,5,4] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,6,7,1,8,2,5,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,7,8,1,2,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,2,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[5,6,7,8,2,4,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[5,6,7,8,2,4,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,4,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,1,8,5,2,3] => ([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,1,7,8,5,2,4] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,7,8,5,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,1,7,8,5,4,2] => ([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,8,5,3,2] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,1,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,4,5,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,7,4,5,1,8,3] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,7,6,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,4,7,6,1,8,3] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,7,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,7,8,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,8,7,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,3,7,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,4,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,8,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,6,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,6,1,8,7,4] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,6,8,1,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,4,8,6,1,7,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,4,5,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,2,4,5,1,6,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,4,5,2,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,4,5,2,3,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,4,8,6,2,3,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,3,2,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,1,3,8,2,6,4,7] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,3,2,5,4,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,2,5,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,3,1,5,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,3,1,5,7,4] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,3,8,1,6,7,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,8,2,1,7,5,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,2,1,6,5,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,6,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,8,7,1,6,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,7,8,1,6,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,7,1,6,8,4] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,7,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,7,3,1,5,8,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,2,1,8,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(6,7)],8)
[7,8,5,6,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,8,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[5,4,1,8,7,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(6,7)],8)
[6,4,8,1,7,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7)],8)
[7,8,3,1,2,6,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,8,2,7,4,6] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7)],8)
[4,3,1,2,8,7,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[4,2,1,3,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,2,1,8,3,4,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,1,3,4,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,3,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,2,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,6,2,4,8,7] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,5,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,1,5,2,8,4,6] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,5,1,2,7,3,6] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,1,2,8,3,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,1,2,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,3,4,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,2,4,8,7] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,1,2,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,4,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,2,8,3,6] => ([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,7,2,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,8,2,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,1,8,2,3,5] => ([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,1,2,8,3,6] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,5,1,2,8,3,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,2,8,4,6] => ([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,3,8,4,6] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,3,7,4,6] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,1,5,2,7,4,6] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,1,2,7,3,6] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,2,7,3,6] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,4,1,7,2,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[8,7,4,1,6,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,6,1,7,2,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,1,6,7,2,4,5] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,7,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,6,8,3,4,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,6,8,2,4,5] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,8,2,3,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,1,2,8,3,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,4,7,1,8,2,3,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,6,1,8,2,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,1,7,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,1,6,7,2,4,5] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,8,2,4,5] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,7,8,2,4,5] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,1,7,2,8,4,6] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[4,3,1,2,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,7,5,6] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,8,7,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,8,7,2,4,5] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,3,1,8,6,2,4,5] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,7,1,6,2,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,6,2,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[5,4,8,1,2,7,3,6] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,5,8,1,2,7,3,6] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,8,2,7,4,6] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[2,1,5,8,3,7,4,6] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,7,3,4,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,7,2,4,5] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,6,8,1,7,2,3,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,8,7,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[8,5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,8,1,6,2,3,5] => ([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,8,6,2,4,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,8,6,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,6,2,4,5] => ([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,1,6,2,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,5,8,1,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,2,5,1,8,3] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,3,7,6,8,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,3,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,6,8,7,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,6,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,6,7,1,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,8,6,1,7,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,2,5,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,4,2,5,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,5,1,3,6] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,8,6,1,3,7] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,2,1,6,8,5,7] => ([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[5,3,2,8,1,6,4,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,3,2,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,2,1,5,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,2,1,5,7,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,7,1,8,6,4] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[5,3,2,7,1,6,8,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,2,1,8,5,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,8,1,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,5,7,8,2,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[6,5,8,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[6,3,7,2,1,8,4,5] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,7,2,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,7,1,4,8,6] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,3,2,1,6,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,2,1,7,4,5] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,8,1,7,4,6] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[4,3,2,1,8,7,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[4,3,2,1,8,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[6,3,8,2,1,4,7,5] => ([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,2,1,4,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,2,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,1,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,3,2,1,5,8,6,7] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,1,6,2,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,4,6,2,5,3] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,4,7,2,5,3] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,8,4,7,2,5,3] => ([(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,2,7,5,4] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,8,3,2,7,5,4] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,2,6,5,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,1,2,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,4,6,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,4,6,1,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,3,1,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,3,6,5,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,2,3,6,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,2,3,7,5,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,2,3,7,5,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,8,3,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,2,8,3,7,6,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7)],8)
[5,2,1,8,3,7,6,4] => ([(0,1),(0,5),(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,1,3,7,5,4] => ([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,3,1,7,5,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,4,7,1,5,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,8,4,7,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,8,4,7,5,1,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,8,4,7,1,5,3] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,8,3,1,7,5,4] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,8,1,3,7,5,4] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,8,3,7,6,4] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,5,8,3,7,6,4] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,3,8,7,6,5] => ([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,1,7,6,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,4,8,7,1,6,3] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,8,7,6,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,4,8,7,1,6,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,3,8,1,7,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[4,2,1,3,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,1,2,3,8,7,6,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[1,4,2,3,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,3,1,2,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[6,3,8,1,2,7,5,4] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,8,2,7,6,4] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[5,1,3,8,2,7,6,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,3,8,2,7,6,4] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,4,8,7,2,6,3] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,4,8,7,2,6,3] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,1,8,7,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,7,2,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,5,8,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[5,6,8,7,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,7,2,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[4,5,1,8,7,2,6,3] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,5,8,7,2,6,3] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,8,7,2,6,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,8,2,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,5,8,2,7,6,4] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,8,1,2,7,5,4] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,8,2,1,7,5,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,2,7,1,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,6,8,3,7,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,8,7,1,6,3] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,8,1,7,6,4] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[3,1,4,2,8,7,6,5] => ([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,4,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,8,1,7,6,4] => ([(0,1),(0,5),(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,8,7,1,6,3] => ([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,8,7,6,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,8,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,8,7,1,6,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,8,1,7,6,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7)],8)
[4,1,3,2,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,2,6,4,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,5,4,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,3,2,5,4,8,6] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,3,2,5,4,7,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,4,2,5,3,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,5,3,8,6] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,5,3,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,6,3,8,7] => ([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,5,4,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,2,5,4,8,7] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,6,2,5,3,8,7] => ([(0,1),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,5,1,4,3,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,1,4,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,7,1,4,3,8,6] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,1,4,3,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,1,4,3,7,5] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,1,4,3,8,5] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,6,1,4,3,8,5] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,1,4,3,8,6] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,5,3,8,6] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8)
[3,1,7,2,5,4,8,6] => ([(0,6),(1,5),(2,3),(2,7),(3,7),(4,5),(4,7),(6,7)],8)
[2,1,7,3,5,4,8,6] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,5,4,7,6] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,8,2,5,4,7,6] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[4,1,8,2,5,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[8,2,5,1,4,3,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,4,3,7,5] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,3,8,2,6,5] => ([(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,7,2,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,7,2,6,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,3,8,2,6,4] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,5,3,7,4] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,2,6,3,7,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,1,8,2,6,3,7,5] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[3,1,8,2,6,4,7,5] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,6,4,7,5] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,6,4,8,5] => ([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,6,3,8,5] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[5,1,7,2,6,3,8,4] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,6,1,5,3,8,4] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,1,5,3,8,4] => ([(0,6),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,8,1,5,3,7,4] => ([(0,4),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,2,6,3,7,4] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,7,3,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,7,3,8,5] => ([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,4,2,6,3,7,5] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,2,6,4,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,2,6,4,8,5] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,7,4,8,5] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,1,3,2,7,4,8,6] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[4,1,3,2,7,5,8,6] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[2,1,4,3,8,5,7,6] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,8,5,7,6] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[4,1,3,2,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,1,3,2,8,4,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[6,1,3,2,8,4,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,4,7,1,3,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,3,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,1,4,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,1,4,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,8,3,7,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[5,1,4,2,8,3,7,6] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,5,2,8,3,7,6] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8)
[3,1,5,2,8,4,7,6] => ([(0,6),(1,2),(1,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[2,1,5,3,8,4,7,6] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,6,3,8,4,7,5] => ([(0,1),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,6,2,8,4,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,7),(5,7),(6,7)],8)
[4,1,6,2,8,3,7,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[5,1,6,2,8,3,7,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,1,5,2,8,3,7,4] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,5,2,6,4] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,1,5,2,6,4] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,3,8,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,2,8,3,7,1,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,7,2,6,1,5,4] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,7,2,6,4] => ([(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,8,3,7,2,6,5] => ([(0,4),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,8,4,7,2,6,5] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,4,7,3,6,5] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,8,3,6,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,7,4,8,2,6,5] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,7,3,8,2,6,5] => ([(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,7,3,8,2,6,4] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,8,2,6,1,5,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,2,6,3,7,1,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,8,1,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,6,8,1,5,7] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,6,2,8,1,4,7] => ([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,4,8,1,7] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,2,4,1,6] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,2,4,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,8,3,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,8,3,1,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,3,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,1,6,8,3,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,1,6,8,2,4,7] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,8,1,3,4,7] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,5,6,1,4,8,2,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,6,3,8,2,7] => ([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,6,3,8,2,7] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,2,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,8,2,1,6] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,8,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,8,3,2,1,5] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,1,8,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,3,1,8,2,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,5,8,3,2,6] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,7,8,1,4,2,6] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,5,8,2,4,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,8,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,7,8,3,6,2] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,8,3,6,2] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,8,1,5,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,8,3,1,5,2] => ([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,8,3,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,3,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,3,1,8,4,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,1,7,3,8,4,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,7,3,8,4,2] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,8,3,5,2] => ([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,1,4,5,2] => ([(0,3),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,2,8,4,5,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,8,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,4,8,3,2,5] => ([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,6,7,3,2,8,4] => ([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,6,1,7,3,2,8,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,7,3,2,1,8,4] => ([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[5,6,7,3,2,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,2,7,3,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,3,1,8,4] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,1,7,3,8,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,7,4,2,8,3,5] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,2,1,8,3,4,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,7,3,1,8,2,4,6] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,1,5,2,8,3,6] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,2,5,1,8,3,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,2,1,8,3,5] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,2,8,3,1,5] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,2,8,3,5,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,8,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,7,2,8,4,1,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,1,8,4,5] => ([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,2,1,4,6] => ([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,7,8,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,1,4,6,2,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,7,8,2,6,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,8,5,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[3,6,7,8,5,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,8,5,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,2,5,3,1] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,2,1,5,3] => ([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,7,8,2,6,3] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,8,1,6,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,2,8,5,1,3,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,7,8,2,5,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,2,7,8,4,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,7,8,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,1,8,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,6,2,7,8,4,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,8,4,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,1,8,4,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,2,8,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,7,2,8,4,3] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,4,7,1,8,2,5,3] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,8,5,2,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,8,5,2,4,1,3] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,5,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,1,5,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[5,1,6,7,8,4,3,2] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,8,4,3,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,8,4,3,2] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,4,2,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,1,6,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,6,2,4,1,7] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,4,1,8,6] => ([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,8,2,4,6,1] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,5,8,3,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,7,1,8,6] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,2,4,5,6,3,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,6,1,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,4,5,6,3,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,1,3,6,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,1,4,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,6,4,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,5,6,3,2,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,6,3,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,2,1,8,6] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,8,3,2,6,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,2,8,5,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,7,2,8,1,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,4,3,6,7,2,8,5] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,7,1,8,2,6] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,5,3,7,2,8,6] => ([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[5,3,4,7,1,2,8,6] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,8,2,1,4,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,3,8,4,1,6,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,5,8,3,6,1,2] => ([(0,1),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,8,1,5,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,4,7,8,3,5,2] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,3,5,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,4,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,6,7,8,4,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,7,8,3,5,2] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,4,8,5,2] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,7,8,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,1,4,8,3,5] => ([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,6,7,8,1,2,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,6,7,8,2,4] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,5,6,7,8,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,6,7,8,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,7,1,3,8,4,6] => ([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,7,8,2,4,6] => ([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[4,5,2,7,8,1,3,6] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,7,8,3,1,5] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,7,8,3,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,2,7,4,8,5,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,4,8,1,5] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,1,6,4,7,8,5] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[3,7,4,2,1,5,8,6] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,2,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,2,1,3,5,8,6] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,4,2,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,4,2,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,7,1,8,5,4] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,1,8,5,4] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,7,3,8,2,5,4,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,5,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,8,1,5,3] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,6,2,7,8,1,5,3] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8)
[7,4,5,8,6,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,8,6,2,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,8,6,1,2,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,1,6,3,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,2,7,1,3,8,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,7,8,2,5,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,7,8,5,2,3] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,2,6,7,8,4,3] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,8,4,1,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,6,7,8,4,3,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,4,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,2,6,7,8,4,3] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,7,8,5,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,7,1,3,8,5,4] => ([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,2,1,5,4,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,3,8,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,7,8,5,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,7,2,5,1,8] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,6,5,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,6,3,4,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,7,3,5,1,8] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,7,4,5,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,2,6,5,3,1,8] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,4,3,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,4,8,3,6,2] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,4,1,3,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,2,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,6,2,4,1,3,7] => ([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,5,1,3,7] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,6,5,1,4,7] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,5,8,7,3] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,6,2,4,8,7,3] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,4,2,8,7,3] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,4,8,2,6,3] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,4,7,6,2,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,7,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,4,5,2,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,6,8,4,2,5,3] => ([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,2,4,5,3] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[5,1,7,2,8,4,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,2,7,8,5,6,3] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,7,8,5,6,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,7,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,1,5,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,4,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,2,4,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,8,6,1,4,2,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,1,4,3,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,4,3,5,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,7,1,3,4,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,1,3,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,8,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,7,2,8,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8)
[3,2,6,8,4,1,5,7] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,3,1,5,7] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,2,3,1,4,7] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[6,5,8,3,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,5,8,3,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,5,7,3,1,4,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,3,8,4,6,2] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,7,8,5,6,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,3,7,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,1,5,7] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,2,3,8,1,6,7] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,5,4,8,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,2,3,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,1,2,8,7,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,1,8,2,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,1,7,6,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,3,7,6,4,2] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,7,6,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,8,2,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,2,8,7,4] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,2,3,8,7,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,2,1,3,8,7,5] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,6,1,4,8,7,5] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,7),(6,7)],8)
[3,2,7,1,8,4,6,5] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[4,7,2,1,8,3,6,5] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,7,1,2,8,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8)
[6,7,1,8,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,1,8,3,2,5,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,3,5,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,8,7,3,5,4,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,5,3,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,5,2,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,7,2,5,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,8,1,2,7,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,1,7,6,3,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,6,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,8,7,6,5,3] => ([(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,2,7,6,4,3] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,8,7,2,5,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,1,8,6,5,2,4,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,4,2,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,6,5,8,7,4] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)
[3,1,6,2,4,8,7,5] => ([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8)
[3,1,5,2,4,8,7,6] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[4,5,1,2,3,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,3,8,7,5] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[1,6,5,3,4,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,4,8,7,3] => ([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,3,8,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[6,4,1,2,3,8,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)
[5,4,1,2,3,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,2,7,3,6,8] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,4,1,7,2,3,5,8] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,4,1,8,2,3,5,7] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,1,2,8,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,8,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,8,4,6,3] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,3,8,4,6,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,3,7,4,6,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,7,4,6,3] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,7,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,2,7,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,7,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,6,2,3,5,8] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,1,7,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,6,7,2,4,5,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,7,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,3,4,5,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,8,2,4,5,3] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,6,1,8,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,7,1,2,8,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[3,1,7,2,8,4,6,5] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,2,7,8,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,3,8,7,5,6,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,8,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,7,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,7,4,6,5] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,2,4,5,6] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,1,7,6,2,4,5,8] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,7,1,6,2,3,5,8] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,8,1,6,2,3,5,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,8,1,7,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,8,1,2,7,3,6,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,8,1,2,7,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,8,2,7,4,6,3] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,8,3,7,4,6,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,3,4,5,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,7,2,4,5,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,8,1,7,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,8,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,8,7,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,8,6,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,6,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,8,1,6,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,6,2,4,5,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,8,6,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,2,4,5,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,6,4,8,7] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,5,4,7,1,8,6] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[4,2,5,3,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,7,1,8,6] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,1,6,3,8,7] => ([(0,1),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,5,4,6,2,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,3,6,2,8,7] => ([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,1,6,2,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,2,7,1,8,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,7,5,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,2,7,1,8,5] => ([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,3,6,1,7,2,8,5] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,3,5,1,7,2,8,6] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,5,4,7,2,8,6] => ([(0,6),(1,5),(2,3),(2,7),(3,7),(4,5),(4,7),(6,7)],8)
[2,1,5,4,7,3,8,6] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,5,4,7,6,8,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,5,3,7,6,8,2] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,1,7,6,8,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,6,1,7,5,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,1,7,4,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,3,7,4,8,2] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,7,5,8,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,4,7,5,8,2] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,7,5,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,7,3,8,5] => ([(0,1),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,6,4,7,2,8,5] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8)
[4,1,6,3,7,2,8,5] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[5,1,6,3,7,2,8,4] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[5,3,6,1,7,2,8,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8)
[5,3,6,2,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,3,6,2,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,3,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,3,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,2,6,1,7,3,8,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[4,2,5,1,7,3,8,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,7),(5,7),(6,7)],8)
[4,2,6,1,7,3,8,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[4,2,6,3,7,1,8,5] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[4,2,6,3,7,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,4,7,5,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,7,1,8,5] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,2,6,1,7,4,8,5] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8)
[3,2,5,1,7,4,8,6] => ([(0,6),(1,2),(1,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[3,2,4,1,7,5,8,6] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[3,1,4,2,7,6,8,5] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[3,2,5,1,7,6,8,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[3,2,6,1,7,5,8,4] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,6,5,7,1,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,7,3,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,7,1,8,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,1,7,5,8,3] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[4,2,5,1,7,6,8,3] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,1,5,2,7,6,8,3] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,1,5,2,7,6,8,4] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[2,1,5,3,7,6,8,4] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,7,5,8,4] => ([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,2,7,5,8,4] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,7,5,8,3] => ([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,6,2,7,4,8,3] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,1,7,4,8,3] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,4,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,2,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,4,6,1,7,2,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,4,7,2,8,3] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,6,5,7,2,8,3] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,5,7,2,8,4] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,5,7,3,8,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,5,7,4,8,2] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,5,7,3,8,2] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,4,7,3,8,2] => ([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,1,7,3,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,2,1,6,4,7] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,2,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,2,4,1,8,6] => ([(0,2),(1,4),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,7,3,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,7,3,1,8,6] => ([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,2,4,6,5,3,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,6,1,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,5,1,4,2,7] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,5,3,2,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,6,4,3,2,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,3,2,1,8,6] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,3,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,2,7,5,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,2,8,1,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,3,2,8,5] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,4,7,3,1,8,2,6] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,4,5,3,2,8,6] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,1,4,2,8,6] => ([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,2,1,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,5,7,4,2,1,6,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,5,3,6,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,7,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,8,6,3,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,3,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,8,7,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,8,6,7,4,2] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,7,3,5,2] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,8,7,5,2] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,2,6,1,4,7,5,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,1,4,3,5] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,7,1,6,4,8,2,5] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,6,8,2,4] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,6,7,5,8,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,5,8,2,1,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,7,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,5,7,6,8,1,4] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,5,7,8,3,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,6,8,3,1,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,7,3,5,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,2,4,6,7,5,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,4,8,1,5] => ([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,6,1,4,7,8,5] => ([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[5,3,7,2,1,8,4,6] => ([(0,1),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,2,1,5,8,6] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,3,4,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,2,1,6,4] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,6,7,2,1,5,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,6,2,1,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,1,6,5,3] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,2,1,7,5,3] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,1,5,7,2,6,3] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,1,6,2,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,1,3,6,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,6,7,1,3,5,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,6,1,7,5,2,4] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,7,2,5,3] => ([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,2,5,6,7,4,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,7,4,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,5,6,4,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,6,4,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,5,4,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,2,5,8,6,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,2,6,5,3] => ([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,8,1,6,5,2,4] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,6,1,3,5,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,3,5,1,4,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,5,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,5,6,4,3,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,5,4,3,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,3,7,2,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,4,5,7,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,2,4,5,1,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,4,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,5,3,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,5,3,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,1,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,4,5,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,4,5,2,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,5,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,2,6,3,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,1,6,3,5] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,2,6,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,5,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,5,3,4,6] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,5,7,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,8,1,7,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,6,1,4,5,8,3,2] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,4,5,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,1,6,3,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,7,6,2,3] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,8,4,7,6,1,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,3,5,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,5,6,7,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,4,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,3,6,1,2] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,8,4,1,7,2] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,5,8,4,6,7,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,3,6,7,5] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,1,7,5] => ([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,8,4,2,6,1,5] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,1,2,5,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,8,2,5,6,7,4] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,3,8,1,5,6,7,4] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,3,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,2,1,5,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,1,3,5,6,7,4] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,3,5,6,7,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,3,6,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,2,4,1,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,8,3,4,6,7,5] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,5,4,3,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,8,1,4,2,6] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,8,4,5,3,2,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,4,5,3,1,6] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,1,4,3,6,2,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,2,6,1,5] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,4,2,7,1] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,2,1,7,5] => ([(0,2),(0,7),(1,3),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,4,2,7,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,2,4,1,6] => ([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[4,1,3,2,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[7,5,3,6,2,8,1,4] => ([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,1,2,7,4] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,6,1,7,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,3,8,6,2,7,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,4,7,6,2,1] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,7,6,1,3] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,5,4,1,6,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,5,8,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,4,5,8,2,3] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,6,1,8,2,4] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,7,6,5,8,3,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,5,3,6,7,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,2,1,7,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,5,4,2,6,1,3] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,2,5,6,7,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,5,6,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,1,2,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,4,8,1,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,4,2,8,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,8,5,6,7,3] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,1,2,8,5,6,7,3] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,1,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,4,8,6,1,3] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,3,2,8,1,7,4] => ([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,5,3,8,6,7,4] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,8,1,7,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,5,4,8,6,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,4,1,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,1,8,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,4,8,5,6,7,2] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,3,7,2,8,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,4,5,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,4,5,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,8,6,3,2] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,8,6,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,1,8,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,8,7,4,5,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,4,8,6,2,1] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,4,8,6,2,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,3,1,8,2,7,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,3,5,8,2,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,1,2,7,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,8,4,1,6,2,5] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,5,1,6,8,4,7] => ([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8)
[3,6,2,5,4,8,1,7] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,7,1,8,6] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[3,5,8,2,4,7,6,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,3,7,6,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,3,8,1,7] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,1,6,8,3,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,5,1,4,8,2,7] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,5,3,8,2,7] => ([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,4,3,8,2,7] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,1,8,6] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,2,7,6,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,8,7,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,6,2,1,8,5] => ([(0,3),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,7,2,8,5] => ([(0,3),(1,3),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,1,8,2,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,8,3,2,6] => ([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,5,8,4,2,6] => ([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,8,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,5,7,4,6,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,8,7,1,4,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,5,8,7,3,6,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,7,3,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,1,7,5,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,8,6,5,2] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,6,5,2,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,6,4,2,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,8,6,4,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,3,7,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,3,7,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,7,3,5,2] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,1,4,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,7,4,5,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,4,1,3,5] => ([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,8,4,2,5] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,4,8,3,2,5] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,6,3,2,8,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,7,5,3,2,8,4] => ([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,6,5,3,2,1,8,4] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,8,7,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,3,8,7,4,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,6,3,1,8,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,1,7,3,8,4] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,4,1,8,3,6] => ([(0,4),(0,5),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,2,6,3,1,8,5] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,6,3,7,5,1] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,4,7,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,4,1,8,5] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,1,4,8,5] => ([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,8,2,1,5,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,4,6,2,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,7,1,6,4] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,7,1,5,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,2,1,5,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,6,2,5,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,2,1,6,5,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,6,8,1,7,5,3] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,4,8,2,7,1,6,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,1,5,7,2,6,3] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,1,6,2,4] => ([(0,1),(0,2),(0,3),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,5,1,3,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,1,7,5,2,4] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,2,7,4,3] => ([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,1,7,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,1,8,6,4,3] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,6,4,3,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,7,5,4,3,1] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,1,8,5,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,2,8,5,4,3] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,8,2,6,4,3] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,6,2,5,3] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,1,6,5,2,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,6,1,5,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,6,4,3,2] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,5,4,3,2] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,5,4,3,2] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,3,5,1,8] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,6,3,5,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,3,1,5,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,4,5,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,3,5,1,8] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,3,4,1,8] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,8,5,2,3,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,6,2,3,1,4,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,8,2,6,3,1,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,4,1,5,7] => ([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,4,8,5,7] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[7,1,5,2,8,3,4,6] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,6,7,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,6,8,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,2,1,7,8,4,5,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,7,6,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,8,2,3,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,5,7,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,2,8,3,1,5,7] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,2,3,8,1,6,7] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,1,8,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)
[4,5,2,3,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,2,3,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,3,8,5,7] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,8,3,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,4,2,1,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,2,8,7,3,5,6] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,5,1,2,7,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,2,8,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,1,2,3,8,4,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,6,2,1,3,8,5,7] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,6,1,4,8,5,7] => ([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8)
[3,2,7,1,8,4,5,6] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[4,7,2,1,8,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[7,6,1,8,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,6,1,7,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,6,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,7,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,8,2,1,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)
[3,2,1,8,7,4,5,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,2,7,3,4,6] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,1,8,7,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,1,7,6,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,5,2,1,4,6] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,1,8,4,2] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,1,8,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,1,5,4,3,8,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,1,4,6,2,8,7] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,6,5,2,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,7,2,6,3,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,5,2,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,3,4,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,1,7,4,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,6,7,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,5,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,8,1,6,3,2] => ([(0,1),(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,6,8,2,7,3] => ([(0,6),(1,5),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,4,6,7,1,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,3,7,5,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,3,8,5,7,2] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,4,2,8,6,5,1] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,5,8,6,2] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,4,1,7,3,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,3,7,6,5] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,2,1,6,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,7,4,1,8,2,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,1,2,5,7,6,4] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,7,6,5,4] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,6,8,5,1] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,3,8,5,6,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,7,5,6,4] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,6,5,7,4] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,5,4,3,1,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,1,6,3,4,2,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,2,4,1,5] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,4,2,6,1] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,2,1,6,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,4,2,7,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,2,4,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,5,7,6] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[4,1,3,2,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[8,3,5,6,2,7,1,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,8,7,2,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,2,8,7,4,1,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,5,6,1,4,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,5,4,7,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,6,4,5,7,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,6,1,7,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,6,5,7,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,5,3,6,8,4] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,5,2,1,8,4] => ([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,2,5,6,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,6,5,8,3] => ([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,1,2,8,7,3,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(6,7)],8)
[2,4,1,5,8,7,6,3] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,5,8,6,7,3] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,2,1,5,8,7,3] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,6,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,2,6,8,1,4] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,5,3,6,8,7,4] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,4,1,5,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,7,6,8,2] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,4,5,6,8,7,2] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,3,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,4,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,4,8,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,4,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,2,1,6,4] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,2,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,5,4,2,8,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,4,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,2,4,1,5,8,7] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,3,5,4,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,4,8,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,2,3,4,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,3,8,4,6,2] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,3,8,6,4,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,3,5,8,4,2] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,4,1,8,5,2] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,6,3,7,4,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,7,4,8,5,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,4,3,6,5] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,4,2,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,1,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,3,5,2,6,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,3,2,6,1,4] => ([(0,1),(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,1,5,7,4] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,2,5,4,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,6,3,7,5] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,1,2,7,6,3,5] => ([(0,3),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,2,5,7,1,6] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,2,7,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,3,8,7,6,4] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,8,7,1,4] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,2,4,8,1,6,3] => ([(0,1),(0,5),(0,7),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,8,5,7,6,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,7,6,5,3] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,7,5,3,6] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,6,7,5,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,6,5,7,2] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,4,8,2,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,5,6,8,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,6,8,2,4,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,6,2,5,1,7,4,3] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,8,7,3,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,5,8,3,7,1] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,3,8,1,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,2,3,6,8,7,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[2,4,3,1,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[7,5,2,8,3,4,6,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,4,3,1,7] => ([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,1,5,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,1,4,5,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,7,1,5,4,2] => ([(0,2),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,5,4,3,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,8,4,5,3,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,8,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,8,5,4,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,5,8,4,6,3,7] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,4,1,2,7] => ([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,4,3,6,2,1] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,3,5,6,1,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,6,5,2,7] => ([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,8,1,7,2,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,7,2,6,5] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,4,7,6,5] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,4,6,7,5] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,2,5,1,7,6] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,2,5,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,3,8,2,5,1,6] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,4,8,3,5,7,6] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,3,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,2,3,5,1,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,4,6,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,1,3,4,5,7,6] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,6,5,3,7] => ([(0,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,1,6,5,7,3] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,7,6,1,4,3,5] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,6,7,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,1,4,2,3] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,7,6,1,4,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,5,7,2,4,1,6,8] => ([(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,4,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[2,8,5,3,4,7,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,1,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,1,6,7] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,6,1,7,4] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,5,6,7,4,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,7,1,6] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,6,1,7] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,4,6,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,3,1,4,8] => ([(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,3,1,7,4] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,3,1,4,7] => ([(0,4),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,5,8,2,4,6,3,1] => ([(0,3),(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,1,4,3,2] => ([(0,1),(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,1,3,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,5,6,2,1,8,7,4] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,7,6,1,4,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,5,7,2,4,1,8,6] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,3,1,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,2,6,3,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,7,6,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[6,5,2,7,3,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,7,4,3,8,2] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,6,4,8,7,3] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,8,6,4,7,3] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,8,7,3,4,2] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,2,8,3,7,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,8,7,5,6] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,1,2,3,8,6,5,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[4,1,2,3,8,6,7,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,1,2,3,7,6,5,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,1,2,3,8,5,7,6] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[7,1,6,8,4,3,5,2] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,8,4,5,7,3] => ([(0,6),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,2,3,1,7,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,8,2,4,3,1,7] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,8,2,4,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,5,2,8,3,4,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,2,8,3,7,1,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,2,7,3,4,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,7,4,3,2,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,7,3,2,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,1,6,8,4,3,2,5] => ([(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,6,5,7,2] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,3,6,2,7,5] => ([(0,5),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[3,1,4,8,6,2,7,5] => ([(0,6),(1,3),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,4,8,6,5,2,7] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,8,3,2,4] => ([(0,7),(1,2),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,7,8,3,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,5,7,3,2,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,3,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,3,8,1,6] => ([(0,1),(0,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,4,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,6,2,4,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,6,8,4,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,2,8,1,7,4] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,1,2,5,8,4,7,3] => ([(0,6),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,8,3,4,2] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,3,8,4,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,5,8,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,1,2,3,7,8,6,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,5,2,7,3,8,6,1] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,7,8,3,5,2] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,2,6,8,5,7,3] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,2,5,6,8,7,3] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,2,6,3,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,4,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,1,5,3,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,6,5,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,2,5,7,3,8] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,5,7,3,6] => ([(0,5),(1,5),(1,6),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,1,7,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[6,3,1,4,7,2,5,8] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,5,4,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,1,2,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,5,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,5,3,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,6,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,5,6,4,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,5,4,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,7,5,4,3,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,5,4,3,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,6,4,7,5] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,6,4,8,2] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,7,4,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,5,8,7,4,3] => ([(0,7),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,8,4,2,7,5] => ([(0,3),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,4,2,1,5,3,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,5,8,1,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,7,5,6,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,7,1,5,3,6,8] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,7,6,4,2,8,5] => ([(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,7,5,6,8,4,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,6,4,1,5] => ([(0,2),(0,7),(1,3),(1,5),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,6,4,5,2] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,3,6,4,2] => ([(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,8,3,6,1,4] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,8,2,4,7,3] => ([(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,3,1,4,7] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,1,4,7,3,5,8] => ([(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,7,3,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,1,4,7,3,6] => ([(0,3),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,6,7,5,2,1,3,8] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,5,7,6,1,8,3,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,5,8,6,2,7,3,4] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,8,3,2,7,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,6,5,7,1,2,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,7,5,6,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,6,3,4,2,8,7] => ([(0,1),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,4,2,3,8,6] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,6,4,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,5,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,4,1,8,3,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
[6,2,3,5,4,8,1,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,4,5,8,7,2] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,7,6,8,3] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,2,4,7,8,3,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,2,4,1,6,3,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,4,2,8,5,3,7] => ([(0,5),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,5,8,1,4,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,6,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,6,5,3,8] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,2,1,5,6,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,2,7,8,1,6,3,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,8,7,6,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,7,8,2,6,5] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,7,4,5,6,8,2] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,7,1,6,3,8,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[4,3,7,5,6,8,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,6,3,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,2,5,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,6,5,2,4,1,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,6,1,4,7,2] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,7,8,2,1,6,4] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,7,1,6,4,3] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,5,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,8,5,1,4,2] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,6,8,5,2,1,4] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,1,2,4,6] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,6,4,2,5,8] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,2,3,5,7] => ([(0,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,7,8,6,3,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,6,5,4,1,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,6,5,3,4,8] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,6,4,5,3,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,1,4,3,6] => ([(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,7,5,1,3,4] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,6,5,4,1,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,1,3,8,5] => ([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,1,3,8,6] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,6,1,7,2,4] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,4,8,1,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,1,4,8,5] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,6,7,1,2,8,4] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,7,4,1,2,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,5,2,3,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,2,3,8,1,5] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,3,7,1,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,8,1,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,2,3,8,1,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,1,4,8,2,5] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,7,5,2,8,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,8,5,2,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,2,6,3,7,1,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,8,6,2,4,7,1,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,2,7,1,3,5] => ([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,8,1,3,4,7] => ([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,5,7,4,8,1,3,6] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,6,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,5,7,1,4,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,2,4,8,1,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,7,3,8,1,2,6] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,6,3,8,1,2,5] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,3,7,1,2,5] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,7,2,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,1,6,8,2,3,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,8,2,4] => ([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,1,2,7,8,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,4,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,5,8,6,2,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,2,8,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,5,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,5,2,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,8,1,6,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,8,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,7,1,4,5] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,1,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,1,2,4,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,3,7,6,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,7,1,3,4,6] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,8,4,7,5,1,2,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,1,6,2,3,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,1,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,1,2,4,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,1,2,3,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,1,4,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,2,1,6,4] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,5,1,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,7,8,5,3,6,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,8,1,2,6,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,7,1,4,5,3,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,8,4,2,6,5,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,4,8,6,3,2] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,8,4,7,2] => ([(0,2),(0,7),(1,3),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,2,5,7,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,2,6,5,3] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,4,6,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,6,2,4,8,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,1,8,4,7] => ([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,6,2,7,1,4] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,4,7,1,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,4,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,3,4,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,7,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,2,3,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,5,2,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,6,2,4,5,8,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,3,4,5,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,2,8,4,7] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,2,3,7,1,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,7,3,4,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,2,1,8,3,4,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,3,1,8,4,7] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,8,6,2,7,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,3,5,2,7,1,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,5,2,3,6,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,1,7,3,4,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,8,6,3,7,2,4,5] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,3,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,6,1,7,2,4,5] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,7,2,3,6] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,7,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,3,4,5,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,1,8,4,5] => ([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[6,3,7,1,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,6,1,8,3,4,5] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,8,2,4,6] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,1,5,8,4,6,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[5,4,1,3,6,8,2,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,6,8,2,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,5,1,6,8,2,7] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,3,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,5,8,7,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,4,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,8,7,1,4,6] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,7,2,4,6] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,5,3,7,6,1,2,4] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,3,7,2,4,5] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,3,8,1,7,2,4,5] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8)
[7,6,8,2,3,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,2,4,6,1,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,8,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,8,2,6,1,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,2,5,8,7,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,8,7,1,4,5,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,1,3,4,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,8,7,3,4,5,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,1,3,4,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,3,6,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,5,8,7,2,3,6] => ([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,7,6,1,2,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,8,3,7,5,1,2,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,6,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,3,2,5,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,6,7,3,2,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,3,7,2,4,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,3,6,2,4,7] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,6,2,4,8] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,6,2,4,1] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,2,6,5,1] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,6,5,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,2,6,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,2,7,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,4,3,2,7,6,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,6,7,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,3,6,2,7,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,3,2,6,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,4,3,2,5,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,8,2,5,7,1] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,2,5,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,5,8,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,6,8,5] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,3,6,2,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,4,6,8,2,3] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,3,6,2,1,4] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,2,6,1,5] => ([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,8,3,2,5,1,6] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,3,8,2,5,1,7] => ([(0,4),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,2,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,6,1,7] => ([(0,2),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,7,1,6] => ([(0,1),(0,2),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,7,2,1,4] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,8,7,1,2,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,4,1,7,8,2,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,1,7,2,8,4] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,2,7,8,5] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,8,6,7] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,8,2,7,4] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,8,7,2,3] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,4,8,6,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,8,6,5] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,4,1,3,2,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,2,8,5,7] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,2,7,5,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,7,5,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,7,2,4,1] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,7,2,4,8] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,8,2,4,7] => ([(0,3),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,8,2,4,6] => ([(0,4),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,6,1,8,3,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,6,1,8,4,5,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,4,5,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,6,8,1,3,2,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,3,7,8,2,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,7,2,8,5,1] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,2,1,5,8] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,3,2,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,1,2,6,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,5,8,4,1,6,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,4,8,1,7,2,3] => ([(0,2),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,8,1,2,7,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,1,7,6] => ([(0,1),(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,2,1,8,5] => ([(0,2),(1,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,2,8,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,1,8,2,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,7,8,2,1,4] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,2,8,1,5] => ([(0,2),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,8,1,6] => ([(0,2),(0,7),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,6,8,1,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,3,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,8,2,1,4,6] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,2,5,8,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,4,3,5,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,2,5,4,6,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,3,7,6,2,5] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,8,7,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,1,3,6,5] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,7,1,8,2,6,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(6,7)],8)
[1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,8,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,8,3,5,4,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,8,3,6,4,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,2,8,3,6,5,7] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,3,2,8,4,6,5,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,4,6,5,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,4,6,5,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,4,6,5,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,6,5,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,5,2,7,3,6,4,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,3,6,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,3,7,4,8] => ([(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,3,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,7,5,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,2,4,3,6,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,2,4,3,6,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,4,3,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,3,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,2,4,3,8,5,7] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,5,2,4,3,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,6,2,5,3,8,4,7] => ([(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,3,7,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,6,3,7,4,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,6,3,8,4,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,4,7,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,3,7,5,6] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,5,2,8,3,7,4,6] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,2,8,3,7,4,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,2,5,1,8] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,5,2,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,5,1,7,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,8,5,1,2,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,3,4,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,3,4,1,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,5,3,1,8] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,4,3,1,8] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,3,1,7,2] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,3,1,2,7] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,1,6,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,4,1,6,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,1,3,6,2] => ([(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,2,1,7,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,2,4,1,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,2,8,5,1,7,3] => ([(0,5),(0,7),(1,2),(1,4),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,8,5,1,7,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,6,8,5,1,4,7] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,5,1,3,7] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,8,2,4,1,3,7] => ([(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,8,4,2,1,3,7] => ([(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,1,3,2,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,4,1,2,6,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,1,2,3,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,1,5,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,8,1,5,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,8,1,5,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,8,1,3,5,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,7,8,2,1,6,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,8,1,6,3,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,7,8,1,6,4,5] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,7,8,1,6,5,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,2,8,1,6,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,2,1,6,4,3] => ([(0,1),(0,2),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,3,5,4,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,8,1,5,3,4,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,5,4,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,5,4,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,4,5,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,1,4,5,3,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,4,3,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,8,1,3,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,2,1,4,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,2,8,1,5,6,3] => ([(0,1),(0,4),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,7,8,1,5,6,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,6,8,4,1,7,5] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,8,3,1,7,5] => ([(0,3),(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,3,2,1,7,4] => ([(0,3),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,3,1,6,4,2] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,1,6,2,4] => ([(0,1),(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,1,6,2,5] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,1,6,5,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,3,8,1,5,6,2] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,3,8,2,1,7,5] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,8,1,7,6] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,8,1,7,6] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,5,4,8,1,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,5,3,2,8,1,6,7] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,1,5,7] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,1,5,2,6] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,3,8,1,2,6,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,8,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,3,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,7,8,3,1,2,6,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,3,1,4,2,6] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,3,2,1,4,7] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,8,1,5,4,6] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,2,1,4,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,1,3,4,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,1,4,3,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,1,4,2,5,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,1,4,2,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,1,2,5,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,1,2,5,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,1,2,4,5,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,1,3,2,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,7,8,2,1,3,6,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,2,7,8,1,4,6,5] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,1,3,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,1,2,4,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,1,2,3,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,8,5,1,6,4,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,7,5,2,6,4,8] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,7,5,4,2,6,8] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,4,1,6,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,5,4,3,1,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,6,1,7,3] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,5,7,3,1,4] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,3,7,1,6] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,5,6,1,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,4,5,6,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,6,3,7,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,3,8,5,1,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,2,8,5,1,4,7] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,8,2,5,6,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,2,1,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,5,1,3,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,5,2,1,8,4] => ([(0,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,5,1,2,8,6] => ([(0,1),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,1,5,6,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,1,7,5,2,8,4] => ([(0,7),(1,2),(1,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,2,7,6,8,5] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[3,4,2,1,7,5,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[3,6,5,7,1,4,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,5,2,7,4,1,8,3] => ([(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,6,4,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,6,4,7,2] => ([(0,3),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,1,8,7,2,4,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,2,7,4,1] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,8,4,2,3,7,1] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,8,3,7,1,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,6,5,7,3,4,2,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,7,4,6,3,8] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,1,8,7,6,3,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,3,8,4,6,2,5] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,8,6,1,7,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,4,8,6,5,1,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,5,8,6,1,4] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,4,7,8,6,1,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,6,2,7,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,4,7,1,8,3,6] => ([(0,5),(0,6),(1,2),(1,7),(2,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,4,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,1,4,8,2,7] => ([(0,1),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,6,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,8,2,7,4] => ([(0,3),(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,1,5,8,4,7,3] => ([(0,2),(1,3),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,8,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,6,3,8,4,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,7,8,5,6] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[3,1,4,2,7,8,6,5] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[5,1,4,7,2,8,6,3] => ([(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,7,8,2,5,1] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,6,8,5,7,2] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,4,6,1,7,8,3] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,4,3,6,5,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,4,1,2,6,5,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,2,5,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,5,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,3,2,5,4,7,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,4,5,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,1,6,2,4,8] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,6,3,4,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,1,6,5,4,3,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,3,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,3,7,2,5] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,3,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,7,5,1,3,8,2] => ([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,5,4,8,2] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,1,8,5,4,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,8,1,5,4,7,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,8,4,3,1,7,6] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,3,7,1,5] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,4,3,6,5,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,7,4,3,6,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,5,6,3,4,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,8,5,7,3,1,4] => ([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,7,1,3,4] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[2,4,8,6,1,7,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,1,8,6,7,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,1,6,8,4,2] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,5,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,7,1,8,2,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,3,6,1,7,8,2,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8)
[5,2,1,6,7,8,3,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,1,5,7,3,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,7,2,8,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,4,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,8,4,6,2,7,3,5] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,6,7,4,5] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,2,6,8,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,7,8,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,2,7,1,8,4] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,1,4,3,7,8,5] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,3,2,8,7,1,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,8,6,5,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,7,6,5,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,2,6,5,3] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,2,7,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,1,2,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,5,1,8,2,7,6] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,1,6,8,7,3,5] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,6,8,1,7,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8)
[3,5,6,8,7,1,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,5,8,7,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,8,5,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,7,8,1,6,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,7,8,6,5,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,1,6,5,3] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,6,1,8,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,7,4,6,2] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,7,5,6,2] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,1,7,5,6,2] => ([(0,1),(0,4),(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,7,5,8,3] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,6,2,7,5,8,3] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,6,8,4,3] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,6,8,4,3] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,3,1,7,5,2] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,8,4,1,7,5,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,7,5,1,8,4,2] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,5,6,1,8,3,4,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,5,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,6,1,8,3,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,5,1,8,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,7,5,3,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,5,3,1,8,4,2] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,6,7,5,3] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,2,6,7,5,3] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,7,6,8,4] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,3,2,1,7,6,8,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[2,5,3,1,7,6,8,4] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[2,8,4,1,6,7,5,3] => ([(0,4),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,1,6,8,4,3] => ([(0,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,1,7,5,8,3] => ([(0,6),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,7,1,6,5,8,2,3] => ([(0,6),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,6,5,7,1,3] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,2,7,5,8,3] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,6,8,4,3] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,6,7,5,3] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,7,6,8,4] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[1,2,5,3,7,6,8,4] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,1,2,7,6,8,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[3,5,1,2,7,6,8,4] => ([(0,7),(1,4),(1,5),(2,3),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[6,7,1,5,8,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,1,5,8,3,4] => ([(0,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,7,6,8,4] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[7,6,1,5,8,3,2,4] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,5,8,2,4] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,5,8,2,4,3] => ([(0,7),(1,2),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,8,4,2,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,7,5,2,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,1,7,6,8,4] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[3,5,2,1,7,6,8,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[1,3,5,2,7,6,8,4] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,7,6,2,5,8,3,4] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,1,5,8,3,4] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,7,6,2,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,4,1,7,5,8,3] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,5,1,7,4,8,3] => ([(0,7),(1,4),(1,7),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,4,8,2,5,3] => ([(0,7),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,7,1,5,3] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,7,4,8,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,5,8,3,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,6,2,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,7,6,2,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,3,7,6,8,4] => ([(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,1,3,7,6,8,4] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,5,2,6,8,4,1,3] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,2,6,7,5,1,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,7,5,8,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,7,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,8,2,5,7,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,2,5,7,6,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,2,7,6,8,4] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,3,2,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[4,2,1,3,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[1,4,2,3,7,6,8,5] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,4,1,3,7,6,8,5] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[2,5,1,3,7,6,8,4] => ([(0,7),(1,6),(2,3),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,3,5,7,6,1,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,2,3,5,7,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,1,3,5,8,2,4] => ([(0,6),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,7,6,1,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,2,3,7,6,8,4] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,2,4,7,6,8,5] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,1,2,4,3,6,5,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,3,5,6,2,7,4] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,4,2,6,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,3,2,4,5,7,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,7,8,3,4,5,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,3,8,4,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,2,1,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,2,6,8,5] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,4,1,5,6,8,2,3] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,8,5,6,1,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,7,8,5,6,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,2,6,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,2,4,5,1,6] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,2,8,4,5,1,7] => ([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,6,7,4,5,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,2,4,8,6,1,7] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,4,2,8,7,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,5,8,7,1,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,5,1,7,8,2,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,2,3,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,3,7,5,8] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,8,3,7,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,8,7,3,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,5,1,7,3,4,8] => ([(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,8,3,4,7] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,5,6,7,8,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,6,7,3,8,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,7,3,1,5,8] => ([(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,2,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,8,3,2,1,6,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,8,1,7,2,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,8,1,2,7,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[4,2,5,3,7,1,6,8] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,2,1,8,5] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,4,6,7,2,8,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,4,5,2,7,8,1,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,6,8,1,7] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,8,6,4,1,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,2,7,8,6,4,3] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,6,5,2,3] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,2,8,6,5,3] => ([(0,2),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,1,2,7,5,3] => ([(0,2),(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,5,3,2,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,8,7,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,3,5,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,6,5,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,5,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,8,6,1,5,3] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,4,8,6,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,1,8,6,5,3] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,6,5,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,1,6,2,3,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,1,2,6,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,7,1,3,5,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,8,7,2,5,3,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,8,7,1,5,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,8,3,7,4,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,8,3,4,7,5,2] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,8,1,7,5,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,7,2,3,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,1,7,3,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,2,1,6,3,4] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,1,2,3,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,2,1,4,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,3,1,6,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,7,1,6,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,7,5,3,4,6,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,5,4,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,7,1,6,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,2,7,3,1,6,4] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,2,4,3,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,2,4,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,4,2,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,2,1,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,4,3,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,3,7,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,2,5,1,4] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,3,2,5,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,5,7,3,1,6,2,4] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,3,2,6,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,3,1,2,6,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,1,2,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,7,2,6,3] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,7,1,6,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,5,7,4,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,6,7,4,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,1,6,2,3] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,7,1,2,6,3] => ([(0,3),(0,4),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,1,7,2,6,3] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,1,7,2,6,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,1,2,6,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,3,7,2,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,8,1,7,5,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[1,6,4,8,3,7,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,5,3,6,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,2,1,6,3] => ([(0,4),(0,5),(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,3,7,2,1,6,4] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,3,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,3,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,7,1,6,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,2,7,1,6,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,7,4,3,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,4,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,7,1,6,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,2,3,7,1,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,5,4,2,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,2,7,6,4] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,2,1,7,3,6] => ([(0,1),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,1,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,1,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,3,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,1,4,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,3,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,2,7,6,3] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,3,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,3,5,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,5,3,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,3,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,1,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,1,7,6,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,5,3,7,6,4] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,1,7,4,6] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,3,1,7,2,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,3,7,2,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,2,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,6,2,1,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,6,4,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,6,4,3,5] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,6,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,6,4,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,3,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,6,5,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,6,3,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,6,3,1,5] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,4,2,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,4,5,2] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,5,4,2] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,4,7,6,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,4,7,2,6] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,5,2,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,2,5,4] => ([(0,1),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,6,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,6,5,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,3,7,1,6] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,4,7,1,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,4,7,3,6] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,6,5,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,6,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,3,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,4,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,6,1,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,6,1,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,6,3,5,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,6,1,4,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,8,4,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,8,5,6,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,2,1,8,7,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,6,5,2,7,4,3,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,1,8,6,5,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,8,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,8,5,3,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,8,7,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,2,7,5,3,8] => ([(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,7,6,4,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,3,2,1,8,7,6,4] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[2,5,3,1,7,8,6,4] => ([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[2,6,4,1,7,8,5,3] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,5,1,7,8,4,3] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,1,6,8,2,3] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,2,8,4,3,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,8,5,3,7] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,1,2,8,6,4,7] => ([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,3,1,2,8,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[6,1,2,5,8,3,4,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,4,8,2,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,1,5,6,8,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,1,5,7,8,3,4] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,6,8,5,2,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,3,1,8,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[3,5,2,1,6,8,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[1,6,2,5,7,3,4,8] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,5,8,7,3,4] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,1,5,8,6,2,4] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,8,5,7,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[6,2,5,1,8,4,7,3] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,8,6,2,5] => ([(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,4,8,7,3,5] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,6,2,4,7,3,5,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,1,3,8,7,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[7,4,1,3,8,5,2,6] => ([(0,4),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,1,3,8,4,2,6] => ([(0,5),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,4,8,2,5] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,1,4,8,3,2,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,8,7,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[2,6,1,4,7,8,3,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,1,4,6,8,2,3,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,5,8,2,4,6] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,2,4,8,3,5,7] => ([(0,7),(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,3,1,6,4,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,3,1,8,6] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,4,1,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,4,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,1,6,3,8,7] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,5,2,8,7] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,1,5,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,3,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,3,4,1,8,6] => ([(0,2),(1,5),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,6,7,3,4,1] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,5,7,3,4,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,3,4,1,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,4,1,5,2,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,5,2,8,6] => ([(0,4),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,7,4,5,2,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[2,1,7,4,5,3,8,6] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,7,4,5,2] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,7,3,5,2] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,3,4,1,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,7,3,6,2] => ([(0,4),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,7,3,6,2] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,7,4,6,2] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,4,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,6,3,8,5] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,4,6,2,8,5] => ([(0,4),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,7,3,6,2,8,5] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[5,1,7,3,6,2,8,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,7,3,5,1,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,8,4,7,3,5,1] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,5,1,8,4] => ([(0,4),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,7,3,8,4] => ([(0,6),(1,3),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,1,7,3,8,6] => ([(0,3),(1,3),(1,4),(2,5),(2,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,7,3,8,5] => ([(0,6),(1,4),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,3,6,2,4,1] => ([(0,1),(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,3,1,8,5] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,1,7,4,8,5] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,3,1,7,4,8,6] => ([(0,5),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,2,3,1,7,5,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[3,1,4,2,8,6,7,5] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[6,2,3,1,8,5,7,4] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,6,2,3,1,7,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,6,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,5,6,2,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,4,1,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,1,8,6,7,3] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,5,2,8,6,7,3] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,5,2,8,6,7,4] => ([(0,5),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,1,6,3,8,5,7,4] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,2,8,5,7,4] => ([(0,3),(1,3),(1,4),(2,5),(2,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,8,5,7,3] => ([(0,6),(1,4),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,6,2,8,4,7,3] => ([(0,6),(1,3),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,5,1,7,3] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,4,6,2,5,1] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,3,8,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,1,6,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,6,2,7,3] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,8,5,6,2,7,3] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,8,5,6,2,7,4] => ([(0,2),(1,5),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,5,6,3,7,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,8,5,6,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,4,8,5,6,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,8,5,6,2] => ([(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,8,4,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,5,1,7,3,6,2] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,8,4,5,1] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,3,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,6,2,5,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,4,7,2,5,6] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,7,2,5,8] => ([(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,1,2,5,7,3,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,8,2,5,7,3,6] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,5,6,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,5,4,6,3,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,6,3,4,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,5,6,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,4,2,3,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,1,4,2,6,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,5,3,1,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,4,3,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,3,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,8,3,7,1,5] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,8,3,7,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,5,3,1,6,7] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,1,4,7,6,3] => ([(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,8,4,7,6,1,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,4,7,3,8,5] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,2,1,4,7,8,3] => ([(0,7),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,5,3,1,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,1,3,6,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,2,4,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,1,4,8,2] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,2,1,8,4] => ([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,1,7,5,2,4,8,3] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,1,2,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,2,5,3,8,6] => ([(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,8,3,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,8,4,2,5,7] => ([(0,7),(1,2),(1,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,7,5,8,2,4,3] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,6,5,7,8,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,2,7,6,1,4,3,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,5,7,6,8,1,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,7,5,6,8,4,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,6,8,4,5,3,7] => ([(0,1),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,1,8,5,3,4,6] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,6,8,5,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,5,6,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,1,6,3,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
[3,1,8,5,4,6,7,2] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,4,5,6,1,7] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,8,6,1,7,5] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,7,1,5,2,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,7,8,1,2,6,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,8,5,2,6,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,8,3,6,2,5,7] => ([(0,5),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,8,6,3,2,1,4] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,1,3,4,2] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,1,3,4,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,8,2,5,7] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,3,4,8,2,6,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,5,4,1,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,1,7,8,6,3] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[2,6,3,4,5,8,1,7] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,4,1,8,3,7,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[7,3,6,4,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,4,8,3,5,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,6,5,3,8,4,2] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,6,3,8,1,4] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,2,7,1,8,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,3,1,4,8] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,2,8,1,3] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,6,4,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,5,2,8,3,4] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,2,4,8,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,8,3,4,7] => ([(0,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,7,5,3,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,4,2,3,8,7] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,3,4,2,8,6] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,5,3,2,8,4] => ([(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,1,2,8,3] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,3,1,8,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,4,3,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,2,5,3,8] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,5,3,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,4,2,5,7,3] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,2,5,7,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,3,7,5,4,2,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,3,7,5,4,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,3,5,6,4,2,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,4,5,2,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,6,5,1,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,1,5,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,1,5,3,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,5,4,1,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,2,3,4,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[1,5,7,2,3,8,6,4] => ([(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,2,3,6,7,4] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,8,2,3,7,6,4,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,3,7,4,5] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,3,5,4,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,4,1,5,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,3,1,2,4,7,5] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,1,5,7,3,8] => ([(1,6),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,5,7,1,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,1,7,8,3,6,4] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,3,6,8,4,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,7,8,5,6,3] => ([(0,7),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,6,8,5,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,7,6,1,8,4] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,8,1,4,6,3] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,4,1,6,2,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,1,8,6,7,2] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,4,6,1,7,3] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,8,6,3,7,4] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,8,6,5,3,7,1] => ([(0,5),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,5,7,6,3,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,5,8,6,3] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,7,5,3,2] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,6,2,4,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,4,7,6,2,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,3,1,7,2,5] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,8,7,1,3,5] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,7,2,5,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,1,6,4,2] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,8,6,7,2,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,3,7,8,6,2,4] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,7,6,4,2,8,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,7,4,1,6,2,3] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,2,7,3,5] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8)
[6,8,5,1,2,3,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,5,2,4,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,3,1,2,7,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,1,2,7,6,3,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,2,6,8,7,3] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,6,1,8,4,7,2] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[3,5,7,1,2,8,6,4] => ([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[3,6,2,7,5,1,4,8] => ([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,7,3,5,8] => ([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,3,1,2,7,5,8] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,7,6,2,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,1,6,3,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,7,8,1,6,4] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,1,4,7,5,6,2,8] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,6,5,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,5,8,6,7,2] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,5,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,8,4,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,5,6,1,8,7,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,5,3,1,6,8,7,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,8,6,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,5,3,8,6,4] => ([(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,3,8,6,5] => ([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,6)],8)
[6,4,1,7,5,2,3,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,7,5,2,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,6,8,5,4,7] => ([(0,5),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,2,5,4,8,6] => ([(0,6),(1,4),(1,5),(2,3),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,7,2,4,8,6,5] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,1,7,8,6,5,3] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,5,1,8,6,2] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,4,1,5,8,6,3] => ([(0,5),(1,4),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,7,1,5,8,6,4] => ([(0,4),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,8,1,3,7,4,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[2,1,6,8,3,4,7,5] => ([(0,1),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,8,3,1,5,7,4] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,6,4,1,5,7,3] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,5,1,7,2] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,4,5,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,3,7,5,8,1,4] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,7,8,3,4,6] => ([(0,3),(0,4),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,2,3,6,8,1,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,7,3,6,8,1,4] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,7,4,6,2,8,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,7,3,4,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,8,4,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,5,2,4,1,6,7,3] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,1,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,8,3,6,7,1,5] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,1,7,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,3,6,2,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,1,7,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,4,7,1,6,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,7,3,1,6,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,1,7,5,2] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,2,7,1,5,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,1,8,2,4,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,3,8,1,2,6,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,1,6,2,3,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,2,6,3,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,2,7,3,6] => ([(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,8,5,3,7,4] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,3,1,7,4,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,1,2,6,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,1,2,4,8] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,7,2,8,4,5] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,2,7,8,5,1,4] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,7,8,3,1,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,2,5,8,1,6,3] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,4,6,2,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,4,6,7,1,5] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,2,7,1,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,4,5,6,8,1,7,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,8,3,5,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,3,7,8,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,3,4,1,2,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,8,4,7,1,5,3,2] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,2,5,3,1] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,2,6,3,1] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,1,6,3,2] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,6,1,2,4] => ([(0,2),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,7,6,1,2,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,3,7,5,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,6,5,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,4,7,5,1,2,6] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,8,7,6,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,7,6,1,2,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,7,6,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,8,7,1,6,3,2] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,2,6,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,8,2,7,6,4,1] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,1,7,6,4,2] => ([(0,2),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,1,7,6,4,3] => ([(0,2),(1,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,7,1,6,3,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,1,6,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,1,5,3,6] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,6,1,5,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,6,2,5,3,7] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,2,5,3,6] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,7,2,6,3,5] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,2,6,3,4] => ([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,7,6,4,3] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,3,7,6,4,1] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,7,6,5,3] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,7,6,4,5] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,7,5,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,6,5,4,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,6,5,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,3,1,7,5,4,6] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,8,1,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,8,7,6,5,2] => ([(0,2),(0,7),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,7,6,5,2] => ([(0,1),(0,2),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,7,6,5,3] => ([(0,1),(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,7,5,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,2,1,6,5,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,1,5,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,1,6,3,5] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,7,1,6,3,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,2,8,1,7,6,4,3] => ([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,8,1,7,6,4,2] => ([(0,1),(0,4),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,7,6,4,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,2,7,5,4,1] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,1,7,5,4,2] => ([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,2,1,7,5,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,7,1,5,3,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,8,7,2,1,4,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,5,6,1,2,4,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,1,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,8,1,2,7,5,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,3,7,5,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,3,7,6,4,1] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,7,6,4,2] => ([(0,4),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,2,6,3,4] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,1,8,7,2,6,3,5] => ([(0,3),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,2,5,3,6] => ([(0,4),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,4,1,6,2,5,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,1,2,6,5,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,1,2,7,5,4,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,7,6,4,5] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,7,6,5,2] => ([(0,2),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,7,6,5,2] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,7,6,4,5] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,7,5,4,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,6,5,4,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,6,5,4,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,8,2,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,1,6,2,5,8,4,7] => ([(0,5),(1,4),(2,4),(2,6),(3,6),(3,7),(5,7),(6,7)],8)
[3,5,1,8,2,4,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,4,5,2,8,3,7,6] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[1,4,2,6,5,8,3,7] => ([(1,6),(2,5),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,4,2,6,8,3,7] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,6,5,8,2,4,7] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,4,2,5,8,3,7] => ([(1,4),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,6,4,8,3,7] => ([(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,4,8,3,7] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,7,3,8,6] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,1,2,6,3,8,7,5] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6)],8)
[7,1,5,4,2,8,3,6] => ([(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,2,8,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,5,2,8,4,6] => ([(0,7),(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,1,8,3,4,6] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[1,4,5,2,8,7,3,6] => ([(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,4,2,8,3,7,5] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[1,4,2,8,3,7,6,5] => ([(1,3),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,3,8,7,6,4] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,5,3,7,4] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,6,3,7,4] => ([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,2,8,7,3,5] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,1,8,7,3,4,5] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,6,2,1,8,3,4,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,2,8,4,5] => ([(0,4),(0,5),(1,3),(1,7),(2,3),(2,6),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,4,2,8,3,5] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,6,3,8,4] => ([(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,7,5,3,8,4] => ([(1,7),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,5,3,8,4] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,3,8,7,4] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,2,6,3,8,7,4] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,2,7,6,3,8,4] => ([(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,5,2,7,3,8,4] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,7,4,2,8,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,8,6,3,7,5] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[3,1,8,6,2,4,7,5] => ([(0,3),(1,6),(1,7),(2,4),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,8,2,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(6,7)],8)
[8,3,1,6,2,4,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,2,4,6,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,3,2,4,6,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,7,3,6,5] => ([(1,2),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,8,3,6,5] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,2,7,3,6] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,5,2,7,3,6] => ([(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,1,7,2,4,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,2,1,7,3,4,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,4,2,7,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,2,6,3,7,4] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,7,3,8,6,4] => ([(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,8,5,3,7,6,4] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,8,7,5,4] => ([(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,3,8,5,4] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,7,3,8,5,4] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,2,8,5,3,6,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,2,8,6,3,5] => ([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,2,6,4,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,8,6,3,4,5] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,7,3,2,6,4,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,7,6,3,5] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,5,3,6,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,3,7,5,4] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,8,6,5,4] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,6,5,8,2] => ([(0,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,7,6,2,4,3] => ([(0,2),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,3,4,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,2,4,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,6,2,4,3,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,4,1,5,2,7,3,8] => ([(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,3,7,6,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,3,8,7,2] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,3,7,8,2] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,6,2,4,3] => ([(0,4),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,8,3,5,7,2] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,6,3,4,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,4,5,3,8,6,2] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,5,3,6,8,2] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,3,6,7,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,2,6,3,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,2,1,4,8] => ([(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,2,1,7,4] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,2,1,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,4,5,7,3,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,8,3,7,2,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,2,4,1,3] => ([(0,1),(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,6,3,1,7,2] => ([(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,1,8,2,3,7,6] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,8,1,6,2,4,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,4,1,5,2,6,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,2,1,4,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,6,5,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[8,3,5,6,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,1,4,7,6] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,6,1,5,7,4] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,7,1,3,5,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,5,7,2,1,6,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,6,1,7,4] => ([(0,6),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,5,6,3,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,5,6,3,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,6,2,8,1,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,5,8,2,1,6,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,5,6,2,1,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,1,3,4,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,1,3,5,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,7,6,5,8,3,1,4] => ([(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,1,4,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,1,8,5,7,3] => ([(0,5),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[2,6,1,3,8,5,7,4] => ([(0,6),(1,3),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,1,3,6,5,8,4] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,4,3,1,5] => ([(0,7),(1,2),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,8,3,4,5] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,4,3,5,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,2,8,4,6] => ([(0,1),(0,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,2,3,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,6,3,4,2,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,8,3,2,7,5] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,3,8,6,4,1,7,5] => ([(0,6),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,7,4,3,1,5] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,2,4,1,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,7,5,6] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,8,6,1,7,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,8,1,6,4,7,5] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,8,1,4,5,7,6] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,6,1,4,3,5,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,6,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,6,3,4,1,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,3,1,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,4,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,2,7,3,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,4,1,6,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,1,3,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,4,2,1,7,3] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,2,4,1,7,3] => ([(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,6,5,1,7,3] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,6,5,1,7,4] => ([(0,1),(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,6,4,5,8] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,6,2,5,8] => ([(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,7,3,6,2,4,8] => ([(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,7,5,3,2,4,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,6,5,2,4,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,5,2,3,7,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,3,4,5,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,3,5,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,6,4,3,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,2,4,7,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,3,2,7,4,6] => ([(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,1,3,8,2,7,5,6] => ([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[3,2,1,8,4,7,5,6] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,1,6,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,1,6,5,3] => ([(0,1),(0,4),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,6,4,3] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,3,5,4,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,8,6,1,5,3,4,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,1,5,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,6,5,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,2,5,6,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,7,1,4,5,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,1,4,3,5,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,5,8,3,2,1,7,4] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,5,8,3,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,5,7,3,1,6,4,2] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,2,7,3,5] => ([(1,2),(1,5),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,4,8,2,7,3,6] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,3,7,1,6,5,2] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,1,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,1,5,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,1,2,6,5,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,1,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,2,3,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,4,2,6,3,8] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,4,3,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,3,4,2,7,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,1,5,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,6,1,5,4,7,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,2,7,1,4,6,5,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,7,2,1,3,6,5,8] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,3,2,6,4,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,2,4,5,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,2,5,4,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,5,3,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,3,6,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,3,5,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,2,4,3,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,3,2,4,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,1,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,8,1,4,5,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,1,3,2,5,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,4,3,6,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,5,4,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,4,6,5,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,5,7,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,5,1,2,4] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,5,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,3,7,8,6,1,2,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,4,5,7,1,2,6] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,8,6,7,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,7,1,8,3,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,6,2,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,6,1,7,8,4,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,5,6,1,8,7,4,3] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,5,6,8,1,7,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,2,4,5,1,6,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,8,6,2,3,7,5] => ([(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,8,2,3,7,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[1,5,6,2,8,4,7,3] => ([(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,3,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,2,6,8,5,7,3] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,5,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,2,3,1,5,6,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,3,1,5,7,4,6] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,6,8,7,5,3] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,6,7,8,5,2] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,7,6,8,5,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,7,8,1,6,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,3,7,2,6,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,1,5,8,4,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,1,8,5,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,8,1,5,3,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,2,1,4,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,1,2,8,4,5,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,3,4,8,5,2] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,7,3,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,7,3,4,8,6,2] => ([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,7,8,2,3,6,4] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,8,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,8,1,2,7,4,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,5,8,6,2] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,4,5,7,8,6,2] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,4,7,6,5] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,4,6,5,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,5,8,7,3] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,2,6,1,4,8,7,3] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,4,1,8,7,3] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,7,4,8,1,6,3] => ([(0,5),(0,7),(1,2),(1,4),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,4,8,6,1,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,3,8,6,1,4] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,2,3,8,1,6,4] => ([(0,1),(0,4),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,2,3,1,8,7,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,2,1,3,8,7,4] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,4,2,8,7,3] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,3,2,8,7,4] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,1,2,8,7,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,3,2,1,8,7,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,3,2,8,1,6,4] => ([(0,1),(0,5),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,2,8,6,1,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,3,8,2,1,5,4] => ([(0,1),(0,2),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,1,2,5,4] => ([(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,1,8,2,6,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,7,1,3,8,2,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,4,8,2,6,3] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,7,4,8,3,6,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,8,6,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,8,6,2,3] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,3,8,6,2,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,3,1,8,6,2,4] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,1,5,2,4] => ([(0,1),(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,5,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,1,8,3,5,2,4] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,8,4,5,2,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,8,4,5,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,4,3,5,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,4,2,5,3] => ([(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,1,8,3,2,5,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,1,8,3,6,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,2,8,1,3,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,7,2,8,3,1,5,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,8,3,5,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,8,4,5,1,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,4,1,5,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,7,8,1,4,5,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,7,1,8,4,6,3] => ([(0,3),(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,7,8,5,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,2,7,8,6,5,3] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,1,5,4,3] => ([(0,3),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,5,1,4,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,5,4,1,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,5,3,1,4] => ([(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,1,8,6,3,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,2,8,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,2,8,6,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,8,6,4,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,3,5,4,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,2,5,4,3] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,2,5,3,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,7,8,2,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,8,2,4,3,1,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,1,8,5,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,8,5,2,4,3] => ([(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,5,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,5,4,2,3] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,5,3,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,4,1,3,2,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,8,5,2,7,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,4,7,3,1] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,8,7,3,2] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,8,6,3,7,2] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,1,8,6,5,2] => ([(0,3),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,2,7,1,5] => ([(0,1),(0,5),(0,7),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,7,1,4,2,5] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,8,5,6,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,7,8,5,3] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,8,7,5,1] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,2,8,1,4] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,4,8,1,3] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,4,8,3,2,6] => ([(0,4),(0,7),(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,3,5,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,1,4,6,7,2,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,8,4,3,7,2,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,2,8,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,2,4,5,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,1,4,5,2] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,4,1,2,6] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,1,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,6,1,2,5,7,4] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,8,7,3,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,3,6,8,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,4,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,5,3,8,2,7] => ([(0,2),(1,4),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,4,7,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,5,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,4,3,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,6,4,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,3,4,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,1,8,2,7] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,2,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,7,2,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,8,3,2,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,6,5,3,4,8,2,7] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,1,8,2,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,8,4,2,7,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,6,4,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,2,6,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,3,1,7,2,5,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,3,7,5,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,6,4,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,2,5,4,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,3,5,6,4] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,7,2,6,5] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,8,5,7,3,6,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,6,8,3,2,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,3,1,8,4,2,5] => ([(0,1),(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,8,4,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,8,4,3,2,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,4,2,5,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,7,3,4,6,5] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,8,3,5,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,1,7,3,5,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,5,8,3,6,7] => ([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[5,4,3,1,6,8,2,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,8,2,7,3,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,1,8,7,4,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,7,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,7,6,2,4] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,1,7,2,6,3] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,8,2,4,7,5,1] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,2,6,4,1] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,6,3,5,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,7,4,5,6,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,4,3,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,5,6,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,3,5,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,2,4,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,5,3,2,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,4,6,2,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,7,4,2,3] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,2,5,4,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,4,5,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,5,3,4,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,6,7,3,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,7,4,5,1,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,7,4,5,1,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,7,4,6,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,7,4,6,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,7,3,6,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,4,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,7,4,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,3,7,4,6,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,3,8,5,6,1,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,8,5,6,1,3] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,1,8,5,6,2,3] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,8,5,6,2,4] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,5,6,1,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,5,6,1,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,5,6,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,2,7,4,6,1,3] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,2,7,4,5,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,2,6,4,5,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,4,5,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,7,4,5,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,7,4,6,2,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,4,8,5,6,2,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,8,5,6,2,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,2,7,3,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,8,4,6,2,5] => ([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,3,6,2,5] => ([(0,2),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,7,3,6,2,4] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,1,7,3,5,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,8,2,6,3,5,1,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,7,3,5,1,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,2,7,3,6,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,3,6,1,5] => ([(0,1),(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,4,6,1,5] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,3,6,2,5] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,3,6,1,5] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,2,6,1,5] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,2,6,1,3] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,5,7,2,6,1,4] => ([(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,3,6,1,4] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,3,6,2,4] => ([(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,3,5,2,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,7,3,5,1,4] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,2,5,1,4] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,7,2,5,1,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,6,7,2,4,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,5,7,1,4,2,3] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,6,7,1,4,2,3] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,7,1,5,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,6,7,1,5,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,6,7,3,4] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,1,8,6,7,3,4] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,1,8,5,7,3,4] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,2,8,5,7,3,4] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,8,5,7,1,6,2,4] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[7,8,4,6,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,3,6,1,5,2,4] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,3,7,1,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,8,3,7,1,6,2,5] => ([(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,1,6,2,5] => ([(0,4),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,4,7,3,5] => ([(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,1,8,4,7,3,5] => ([(0,1),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,1,6,2,8,4,5] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,2,7,3,5] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,1,6,2,7,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,5,2,6,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,5,1,6,3,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,5,1,7,3,4] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,6,1,7,3,4] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,8,2,6,1,7,3,5] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,2,8,4,5] => ([(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,8,3,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,4,5,2,8,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,6,2,3,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,6,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,8,3,6,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,5,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,6,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,8,3,7,1,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,7,2,4,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,3,7,2,8,1,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,6,3,8,2,7,1,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,6,4,8,2,7,1,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,8,4,6,2,7,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,4,5,2,7,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,4,5,2,6,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,4,5,2,3,1,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,6,2,3,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,2,3,1,7] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,2,4,1,7] => ([(0,5),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,2,8,1,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,2,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,2,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,5,1,7] => ([(0,5),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,2,5,1,7] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,2,4,1,7] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,2,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,3,5,2,4,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,5,2,6,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,6,2,7,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,2,7,1,5] => ([(0,1),(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,7,1,5] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,2,8,1,5] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,2,5,1,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,2,8,1,5] => ([(0,2),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,2,6,1,5] => ([(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,2,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,7,3,6,2,8,1,4] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,3,6,2,4,1,8] => ([(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,5,2,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,5,2,8,1,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,8,2,5,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[6,7,5,8,2,4,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,5,7,2,3,1,4] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,4,8,2,3,1,5] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,8,2,4,1,5] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,4,2,8,1,5] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,4,2,6,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,2,8,1,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,2,3,1,6] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,2,3,1,6] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,2,3,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,4,6,2,3,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,2,4,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,7,2,4,1,5] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,3,7,2,4,1,6] => ([(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,5,1,6] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,2,5,1,6] => ([(0,4),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,2,8,1,6] => ([(0,1),(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,2,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,2,6,1,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,2,8,1,6] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,2,7,1,6] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,2,7,1,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,2,7,1,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,2,7,1,5] => ([(0,1),(0,6),(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,2,6,1,5] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,4,2,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,3,4,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,2,6,1,7] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,2,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,2,1,8,3,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,5,2,1,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,2,1,3,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,3,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,1,3,2,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,1,7,3,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,1,6,3,5,2] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,8,1,6,5,3,2] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,8,1,3,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,3,1,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,1,3,8,2,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,8,1,7,5,2,3] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,7,2,1,3,4] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,3,7,2,1,5] => ([(0,2),(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,8,7,4,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,7,4,3,5] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,6,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,6,4,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,3,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,6,5,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,2,6,3,5,1] => ([(0,2),(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,2,7,3,1,5] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,7,4,2,5] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,7,1,8,6,4,5,2] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,7,5,2,4] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,6,8,2,5,4] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,7,6,2,8,1,3,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,2,8,1,5,3] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,2,7,5,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,7,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,7,5,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,7,5,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,6,7,3,1,2,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,1,3,4,2] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,8,1,5,2] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,2,6,8,1,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,6,8,3,5,4] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,1,4,2,3] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,4,6,5,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,7,4,6,1,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,2,5,4,7,3,8] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,5,4,8,3,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,4,7,6,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,4,3,8,7,2] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,3,4,5,7,2] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,5,3,4,8,6,2] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,3,5,6,8,2] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,4,5,6,7,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,5,1,8,4] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,2,5,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,4,7,3,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,4,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,4,1,3,7] => ([(0,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,4,8,3,7] => ([(0,1),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,1,8,5,2,4,7] => ([(0,7),(1,2),(1,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,3,5,4,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,8,6,5,7] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[4,3,1,2,6,8,5,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[5,8,1,6,3,2,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,3,8,5,2,1,4,7] => ([(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,5,2,4,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,6,1,5,7,4] => ([(0,3),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,6,7,2,1,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,2,1,7,3] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,8,3,1,6,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,7,5,6,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,3,8,5,7,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,2,3,6,5,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,8,6,4,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,3,1,8,4,6] => ([(0,5),(0,6),(1,2),(1,7),(2,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,4,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,6,3,4,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,3,2,7,5] => ([(0,2),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,4,2,7,5] => ([(0,2),(1,3),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,4,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,8,7,2,4,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,7,8,5,6] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[2,4,1,3,8,7,5,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[2,5,8,3,1,7,4,6] => ([(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,1,3,7,2,4,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,6,4,7,5] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,3,4,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,3,2,4,6,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,7,8,6,3,5] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,8,5,3,7] => ([(1,6),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,7,5,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,3,8,5,2,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,2,8,6,4,5] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,8,6,1,3] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,1,8,5,6,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,5,1,7,3,4,6] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,1,8,3,4,7,5] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,2,8,3,5,1,7,4] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,4,8,5,7,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,3,6,4,8,5,7,2] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,6,4,7,5,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,7,5,8,1,3] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,3,7,8,4,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,2,1,4,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,2,3,1,8,5] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,3,1,6,8,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,4,2,6,8,1,3] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,5,3,4,6,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,6,7,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,3,1,8,7,4] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,6,4,3,1,7,5] => ([(0,5),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,4,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,2,4,7,5] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,1,2,7,4,6] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,8,3,2,6,4,7] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,1,2,6,4,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,7,5,4,2,6,3,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,4,6,3,7] => ([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,8,4,2,7,3,6] => ([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,8,3,7,5] => ([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,1,6,7,2,4,8] => ([(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,2,8,4,7] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,3,2,7,8,4,5] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,4,5,3,8,6,2] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,1,2,5,8,7] => ([(0,7),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,1,4,2,7,5,8] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,4,1,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,6,7,1,4] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,8,1,7,3] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,6,7,8,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,2,3,6,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,2,3,4,1,7,8,5] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,1,4,5,8,6] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,5,2,4,7] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,1,8,2,4,6] => ([(0,4),(0,6),(1,3),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,2,8,7,3,6] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,2,4,6,5,3,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,4,6,3,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,1,3,4,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,2,5,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,6,4,5,3,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,6,4,3,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,5,4,3,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,4,2,8,3,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,8,2,7,3,6] => ([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[1,4,6,8,2,7,3,5] => ([(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,7,6,2,8,3,5] => ([(1,4),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,4,7,2,8,3,6] => ([(0,7),(1,2),(1,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,4,5,2,8,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,1,2,8,4,6] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,8,1,3,4,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7)],8)
[5,2,8,7,1,3,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,1,5,8,2,7,3,6] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,6,2,8,7,3,5] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,2,8,6,7,3,5] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,6,4,8,7,5] => ([(0,6),(1,6),(2,5),(3,4),(3,7),(4,7),(5,7)],8)
[2,1,7,6,3,4,8,5] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,4,6,8,5] => ([(0,7),(1,6),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,4,7,2,6,8,3,5] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,8,5,7,4] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,7,8,3,6] => ([(0,7),(1,2),(1,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,6,8,3,5] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,6,8,7,3,5] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,8,4,6,7,5] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,6,4,8,5] => ([(0,5),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,8,2,4,6] => ([(0,4),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(6,7)],8)
[1,7,4,3,2,5,8,6] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,2,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,8,2,6,4,5] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,2,7,8,3,6,5] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,8,1,3,4,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[2,1,8,6,3,4,7,5] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,8,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[1,2,3,7,8,5,6,4] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,3,7,5,8,6,4] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,8,6,5] => ([(1,4),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,8,6,4,5] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,3,4,6,5] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,8,7,5,6,4] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,5,6,2,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,8,4,2,6,1,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,3,7,2,1,5,4] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,2,1,5,4] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,3,2,1,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,7,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,3,8,2,1,4,7] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,3,5,8,1] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,1,7,5,8] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,1,7,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,1,8,6,5] => ([(0,1),(0,2),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,1,8,7,5] => ([(0,1),(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,8,7,1,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,7,8,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,2,6,7,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,2,6,1,7,4] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,6,1,8,4] => ([(0,4),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,3,8,5,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,4,2,7,8,1,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,7,1,8,6] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,3,7,2,6,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,2,6,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,2,6,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,5,6,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,7,5,1,4,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,1,6,2,4] => ([(0,1),(0,3),(0,5),(0,7),(1,2),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,8,5,1,7] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,8,4,6,1,7] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,1,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,7,3,6,8] => ([(1,7),(2,5),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[4,5,2,3,7,1,6,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,3,8,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,5,8,3,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,4,2,8,6,7] => ([(0,6),(1,6),(2,5),(3,4),(3,7),(4,7),(5,7)],8)
[4,1,5,3,8,2,6,7] => ([(0,4),(1,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,8,3,2,6,7] => ([(0,5),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,5,2,1,6,7] => ([(0,7),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,2,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,7,5,1,6,8] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,6,2,5,1,7,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,2,5,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,3,2,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,7,3,2,6,8] => ([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,7,2,6,8] => ([(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,1,4,2,7,6,8] => ([(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,1,4,3,7,8,6] => ([(0,6),(1,6),(2,5),(3,4),(3,7),(4,7),(5,7)],8)
[5,2,1,4,3,7,8,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)
[5,3,1,4,2,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,7,2,6,8] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,1,7,5,2,6,8] => ([(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,6,1,5,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,3,1,5,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,6,4,1,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,1,7,2,5,8] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,4,1,2,7,5,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,4,1,3,7,8,5] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,4,1,2,7,5,8] => ([(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,1,7,2,5,8] => ([(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,1,4,7,8] => ([(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,2,7,1,3,4,8] => ([(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,7,3,1,6,8] => ([(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,3,1,5,8] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,1,7,3,5,8] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,6,1,4,7,5,8] => ([(1,7),(2,5),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[3,6,2,1,4,7,5,8] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,7,2,4,5,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,4,6,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,4,8,5,1,6] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,6,3,8,5] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,6,8,2,5] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,5,7,4,8] => ([(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,2,1,5,7,4,8] => ([(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,1,5,7,4,8] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,2,1,5,3,7,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,5,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[4,2,1,7,5,3,6,8] => ([(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,1,5,6,2,3,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,2,6,4,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,1,5,3,6,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,3,7,8,4] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,2,7,4,8] => ([(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,7,2,3,8] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,4,1,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,5,1,7,2,3,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,1,2,7,4,8] => ([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,4,7,8,3] => ([(0,7),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,4,7,2,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,5,4,7,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)
[2,4,1,5,8,3,7,6] => ([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8)
[3,4,5,1,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,1,8,2,7,6] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[3,4,5,8,2,1,7,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[3,4,5,2,8,1,7,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)
[3,5,6,2,7,1,4,8] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,6,2,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,4,8,6,3,7,1,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,3,7,2,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,2,7,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,6,2,8,7,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,6,2,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,6,2,7,4,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,7,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,6,8,7,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,8,6,7,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,8,6,7,3,1,4] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,5,6,8,7,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,5,6,7,2,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,3,1,8,6,7,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,3,2,6,7,5,4] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,7,8,4,3] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,5,6,1,7,4,2,8] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,6,1,7,4,8,2] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,6,8,7,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,5,6,7,8,1,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,5,6,7,1,3,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,5,6,7,1,3,2,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,5,6,7,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,6,8,7,4,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,6,7,4,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,5,6,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,7,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,3,7,1,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,7,1,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,3,7,1,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,5,6,1,8,3,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7)],8)
[4,2,5,6,1,7,3,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,1,5,7,3,2,4,8] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,8,3,2,4,7] => ([(0,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,8,2,4,7,1,5,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,4,7,1,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,5,6,8,2,4] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,5,8,2,4,6] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,2,4,6,1,5,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,4,6,1,5,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,7,4,6,8] => ([(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[3,2,5,1,8,4,6,7] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6)],8)
[3,2,5,1,7,8,4,6] => ([(0,3),(0,4),(1,2),(1,6),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[7,8,3,2,4,6,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,7,8,3,2,4] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,6,1,7,8,3] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[5,7,6,1,8,3,4,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,6,1,7,3,4,2] => ([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,8,7,3,2,4] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,2,4,6,1,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,7,4,6] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,4),(3,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,6,4,7,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[3,2,4,1,8,7,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[3,2,5,1,6,8,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[3,8,6,5,1,7,4,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,1,8,4,2] => ([(0,6),(0,7),(1,2),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,8,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6)],8)
[3,2,4,1,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[3,2,4,1,7,5,6,8] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,8,5,7] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[3,2,4,1,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[8,3,2,4,7,6,1,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,4,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(5,6)],8)
[3,2,5,1,6,7,4,8] => ([(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[6,5,1,7,4,2,3,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,4,2,3,7] => ([(0,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,4,2,3,7,5,1,6] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,8,3,7,5] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(6,7)],8)
[5,2,6,1,8,3,7,4] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
[8,4,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,1,8,4,7,3] => ([(0,3),(0,6),(1,4),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,3,8,5,1,6] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,1,6,4,2,3,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,4,2,3,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,7,6,4,8] => ([(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[3,2,5,1,8,6,4,7] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,5),(4,6),(6,7)],8)
[7,3,2,4,8,6,1,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,6,1,5,7,3,2,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,8,5,7,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
[8,5,6,1,7,3,4,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,1,7,4,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,6,7,4,2,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,6,7,4] => ([(0,1),(0,5),(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,2,4,1,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[3,2,4,1,5,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,5,1,7,8,6,4] => ([(0,1),(0,5),(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[7,8,5,1,6,4,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,5,1,7,6,4,2] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,1,8,6,4,2] => ([(0,2),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,6,4,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,7,6,4] => ([(0,6),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[6,5,7,3,1,8,4,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,7,1,8,5,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[4,6,3,7,5,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,1,7,5,3,8] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[2,5,7,4,1,6,3,8] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,4,1,6,8,3] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,3,6,1,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,8,3,1,6,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,7,5,1,8,6,2] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,3,8,5,1,7,2] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,4,3,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,8,3,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,3,6,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,4,6,1,7,3,8] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,8,1,6,7,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,4,6,8,1,7,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,4,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,2,1,8,5,7,3] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,1,7,5,8,6,3] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[2,4,1,7,5,3,8,6] => ([(0,5),(1,4),(2,4),(2,6),(3,6),(3,7),(5,7),(6,7)],8)
[2,6,4,1,8,5,3,7] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[5,4,8,2,1,6,3,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,8,4,1,6,3,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,5,6,1,8,4,7] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[4,8,3,2,6,1,5,7] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,1,6,4,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[3,2,1,6,8,5,4,7] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,7,1,5,4,8,6] => ([(0,5),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[3,2,7,1,5,8,6,4] => ([(0,6),(0,7),(1,2),(1,4),(2,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,1,6,7,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,3,2,6,7,1,5] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,6,7,1,5] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,7,8,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[4,3,2,6,7,1,5,8] => ([(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,6,8,1,5] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,7,8,2,6,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,7,4,8,1,6,3] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,7,8,1,6,4] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,2,5,7,1,6,8,4] => ([(0,7),(1,2),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,2,5,7,1,6,4,8] => ([(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,3,2,7,1,5,4,8] => ([(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,1,5,8,4] => ([(0,6),(1,2),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,7,8,1,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,6,1,7,8,5,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,2,1,7,8,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,3,8,6,4] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,8,5,3,7,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,7,1,4,8,5] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,2,1,4,7,8,5] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,1,4,7,5,8] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,1,7,4,6,8] => ([(1,4),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[3,5,2,1,7,8,4,6] => ([(0,1),(0,2),(1,4),(2,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,1,7,3,6] => ([(0,1),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,8,3,7,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,4,1,7,3,8,6,5] => ([(0,4),(1,2),(1,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[3,2,7,1,4,8,6,5] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,2,1,7,4,6] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,8,1,5,6] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,1,5,6,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,3,2,7,1,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,1,7,4,6] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[6,3,2,8,1,4,7,5] => ([(0,4),(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,4,7,5,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,5),(6,7)],8)
[5,3,2,1,8,4,6,7] => ([(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[4,8,3,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,3,1,5,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,3,1,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,2,5,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,3,4,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,4,3,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,3,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,5,3,4,2,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,4,2,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,4,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,6,2,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,4,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,4,2,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,4,2,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,1,3,2,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,4,5,3,7,6] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,1,5,3,4,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,3,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,5,6,1,4,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,6,2,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,6,1,5,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,6,4,5,2] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,6,4,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,6,3,4,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,6,1,3,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,4,7,5,6,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,4,2,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,6,2,5,4] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,6,2,5,4] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,6,4,5,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,6,4,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,6,1,5,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,6,3,5,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,4,3,6,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,7,4,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,7,4,6,5] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,4,3,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,4,3,6,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,4,1,6,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,5,6,3,4,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,6,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,3,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,7,4,6,5] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,5,4,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,8,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,1,3,2,8,6,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[8,6,7,2,3,1,5,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,3,1,7,5,6,4] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,5,6,1,4,3] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,2,5,1,4,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,1,5,2,4,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,1,3,2,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,6,7,3,5,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,3,7,5,6,4] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,7,5,6,4] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,6,2,4,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,4,5,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,6,4,5,3] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,6,1,5,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,6,3,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,3,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,1,5,3] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,6,2,5,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,6,2,5,3] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,6,2,4,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,5,7,3,6,4] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,6,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,6,3,4,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,6,3,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,6,3,5,2] => ([(0,2),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,6,1,5,2] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,3,6,1,7,5] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,8,1,3,2,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,5,8,6,3,2,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,3,1,2,4] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,8,7,3,6,2,4] => ([(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,2,8,4,6,5,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,2,8,4,1,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,8,4,5,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,1,8,4,5,7,3] => ([(0,2),(1,5),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,6,1,5,7,3] => ([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,1,8,4,5,7,2] => ([(0,4),(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,8,4,5,7,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,8,4,5,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,8,4,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,3,7,8,4,6,5,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,8,2,4,6,3] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,2,4,6,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,7,8,4,2,5,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,4,2,5,3] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,3,2,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,1,6,5,4] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,7,3,6,1,4] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,8,4,6,5,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,7,8,4,6,5,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,7,8,1,4,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,2,7,8,5,4,6,3] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,3,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[7,2,5,8,3,4,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,5,4,3,1,7] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,3,5,4,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,3,1,6,7] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,5,2,3,1,7] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,2,4,6,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,8,5,6,7] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,4,2,1,8,5,6,7] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,7,6,8,4,3,5,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,8,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,5,8,1,4,6,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,7,5,8,3,4,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,8,5,4,3,2,7] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,5,1,3,2,7] => ([(0,7),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,1,4,3,2,7] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,3,6,5,1,7] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,5,6,3,7] => ([(0,7),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,5,6,2,7] => ([(0,6),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,1,3,2,7] => ([(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,1,5,3,2,7] => ([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,8,4,5,3,2,7] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,5,4,6,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,8,5,4,6,2] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,3,8,4,6,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,3,8,4,6,5,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,8,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,7,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,3,1,6,7] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,4,2,3,1,7] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[1,4,3,2,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,3,2,8,5,4,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,2,5,3,1,7] => ([(0,6),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,5,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,4,5,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,5,3,1,7] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,8,5,4,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,3,1,8,5,6,7] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,2,1,4,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,1,3,2,4,8,6,7] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,8,1,5,3,4,7,6] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,8,4,5,3,7,6] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,5,3,6,7] => ([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,2,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,2,4,6,7] => ([(0,7),(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,8,2,6,7] => ([(0,6),(1,6),(2,3),(2,7),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,2,8,4,3,6,7] => ([(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,3,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,2,4,8,5,3,7,6] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,4,8,5,3,6] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,2,7,8,4,3,6] => ([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,7,4,8,3,6] => ([(0,6),(1,6),(2,3),(2,7),(3,5),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,5,1,4,7,2,6] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,5,4,7,3,6] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,5,7,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,7,5,3,6] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,4,3,7,6,5] => ([(0,3),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,8,7,4,3,5] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,4,1,2,8,7,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[3,6,4,8,1,7,2,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,4,2,8,3,5] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,8,4,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,2,8,4,3,5] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,4,2,8,3,5] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,1,4,8,2,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,8,1,5,2,4,6] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,8,5,3,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,7,8,5,3,6] => ([(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,8,4,3,7,5] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,2,8,3,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,6,1,3,2,4,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,3,2,4,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,3,5,8,4,6] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,7,5,8,3,4,6] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,3,7,2,4,6] => ([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,2,5,8,7,3,4,6] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,8,3,7,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,3,5,4,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,2,4,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,7,3,6,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[2,8,1,7,4,3,6,5] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,8,4,3,6,5] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,5,3,4,6] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,5,2,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,4,7,2,5] => ([(0,4),(0,6),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,2,7,3,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,7,4,3,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,2,8,6,4,3,5] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,1,2,8,6,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,4,8,1,6,2,5] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,8,7,1,6,2,5] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,8,1,7,6,3,5] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,6,4,3,5] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,4,1,6,2,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,4,1,7,2,5] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,3,4,1,8,2,5] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,4,1,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,1,7,2,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,1,5,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,3,4,1,5,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,4,1,6,2,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,3,4,1,7] => ([(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,2,7,3,4,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,8,3,5,1,7] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,1,6,2,8] => ([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,1,7,2,6] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,1,8,2,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,2,3,1,7,4,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,2,4,1,8,3,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,2,4,1,7,3,8] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,2,5,1,7,3,8] => ([(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,2,5,1,8,3,7] => ([(0,1),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,1,8,3,7,2,6] => ([(0,3),(0,4),(1,2),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,7,3,8,2,6] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,3,8,1,5] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,2,7,3,8,1,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,7,4,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,8,4,7,1,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,8,4,7,1,3] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,8,3,7,1,4] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,6,2,8,3,7,1,5] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,7,3,6,2,8] => ([(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,8,3,6,2,7] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,1,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,2,4,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,5,7,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,5,3,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,5,2,8,7] => ([(0,1),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,5,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,5,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,3,6,1,5] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,3,6,2,5] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,1,4,2,6] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,5,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,1,7,4,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,8,4,7,6,3,2] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,7,6,3,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,8,1,3,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,1,6,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,1,4,7,2] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,1,2,7,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,7,4,1,6,2,5] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,2,5,6,7,4] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,2,6,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,2,4,7,5] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,5,2,3,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,5,1,3,6] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,1,6,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,2,4,7,1] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,1,4,7,5] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,2,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,2,1,7,4] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,2,6,1,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,5,7,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,8,4,5,7,2,3] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,3,5,1,7,2,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,5,8,3,6,7,4] => ([(0,1),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,1,2,7,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,2,5,6,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,8,1,5,6,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,2,1,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,4,8,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,7,6,2,3] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,3,1,6,2,7,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,3,8,6,1,7,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,8,5,6,7,2] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,6,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,2,6,4,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,3,7,6,1,5,2] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,7,1,6,5,3] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,3,5,8,4,2] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,3,6,1,4,2] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,6,1,5,2] => ([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,4,7,6,1,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,4,7,1,6,5,3] => ([(0,4),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,2,6,5,3] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,7,6,5,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,2,8,5,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,2,1,7,6,5,4] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,8,6,5,3] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,7,1,6,5,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,1,6,4,3] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,2,8,6,4,3] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,8,1,3,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,4,8,7,2,6,5,3] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,6,1,5,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,8,1,5,4,3] => ([(0,2),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,8,1,6,4,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,2,8,7,1,6,5,3] => ([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,7,6,5,4] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,7,6,5,4] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,2,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,2,6,5,3] => ([(0,2),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,2,7,6,5,4] => ([(0,2),(0,7),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,7,6,5,4] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,4,5,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,5,8,2,6,4] => ([(0,1),(0,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,1,5,8,3,6,4] => ([(0,1),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,1,8,3,7,4] => ([(0,4),(1,3),(1,7),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,5,1,8,2,7,4] => ([(0,2),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,1,8,7,2,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,1,8,7,2,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,5,7,6,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,5,1,8,7,2,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,1,8,7,2,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,1,8,7,2,3] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,1,8,2,7,4] => ([(0,5),(0,6),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[2,5,6,1,8,3,7,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,4,6,1,3,8,7,5] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8)
[3,4,6,1,2,8,7,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,3,6,1,2,8,7,5] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[5,3,6,1,8,2,7,4] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,5,8,2,6,4] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,5,7,2,6,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,5,7,3,6,4] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,8,3,6,4] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,8,3,7,4] => ([(0,3),(0,6),(1,4),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,3,8,7,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[2,3,6,1,4,8,7,5] => ([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[4,2,5,3,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,3,8,7,5] => ([(0,1),(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,3,8,6,5] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,2,4,3,7,6,5] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,4,2,7,6,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,1,4,2,8,6,5] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,1,2,8,7,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,3,1,2,8,7,5] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,1,2,8,7,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,4,1,3,8,7,5] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,4,3,8,6,5] => ([(0,4),(1,2),(1,7),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,4,2,8,6,5] => ([(0,1),(0,7),(1,4),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,3,2,8,6,5] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,2,3,5,4] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,2,3,8,6,5] => ([(0,4),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[3,7,1,2,4,8,6,5] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,1,3,4,8,6,5] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,3,1,4,8,7,5] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)
[3,6,2,1,4,8,7,5] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,8,3,7,4] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,5,2,1,8,3,7,4] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,1,5,2,7,3,6,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,2,3,7,6,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,4,1,2,3,8,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,2,1,3,8,7,5] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,1,4,8,7,5] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,1,2,4,8,6,5] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,4,7,6,5] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,7,6,5] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,4,8,6,5] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,3,1,4,8,7,5] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,3,6,1,5,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,5,8,1,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,6,3,5,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,3,5,8,1,7] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,1,5,3,8,7] => ([(0,1),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,6,5,3,1,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,1,8,7,3] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,1,7,3] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,3,1,7] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,1,5,8,3,7] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8)
[2,1,4,6,5,8,3,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,5,8,7,3] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[2,4,6,1,5,8,7,3] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,3,7,1] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,3,8,7,5,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,5,3,7,1] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,1,5,7,3] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[2,4,6,1,8,5,7,3] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[2,4,1,6,8,5,7,3] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,8,5,7,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,8,5,3,7] => ([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,1,8,5,3,7] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[2,4,6,8,1,5,3,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[4,2,6,8,5,1,3,7] => ([(0,6),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,6,8,3,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,3,5,1,7] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,3,1,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,3,1,8,5,7] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[2,4,6,3,8,1,5,7] => ([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,6,3,8,5,1,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,6,3,8,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,3,6,8,5,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,8,5,1,7] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,8,1,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,4,3,1,6,8,5,7] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[2,4,1,3,6,8,7,5] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[2,4,3,6,1,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[2,4,3,6,8,1,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,4,6,3,8,1,7,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[2,1,4,6,8,3,7,5] => ([(0,1),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,1,6,8,3,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,7),(5,7),(6,7)],8)
[2,4,6,1,8,3,7,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[2,4,6,8,1,3,7,5] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[2,4,6,8,3,1,7,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,5,7,1,3] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,4,8,7,1,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,4,2,8,7,5,3,1] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,8,1,7,5,3] => ([(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,4,8,7,5,3] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,8,7,3,5] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,2,8,7,5,1,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,4,7,3,8,2,5] => ([(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,7,4,5,8,2,6] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,7,3,6,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,3,4,8,2,5] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,6,3,7,2,4,5] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,3,8,2,4,5] => ([(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,4,8,3,5,6] => ([(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,7,3,4,8,2,5] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,7,4,5,8,3,6] => ([(0,1),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,7,3,8,2,6] => ([(0,6),(1,2),(1,7),(2,3),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,7,5,8,2,6] => ([(0,1),(0,7),(1,4),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,7,1,4,5] => ([(0,6),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,3,7,2,4,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,8,2,1,7,3,4,6] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,2,1,8,3,4,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,1,3,8,2,4,5] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,4,8,3,6,7] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,6,1,5,8,2,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,1,4,5,8,3,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[6,5,1,3,4,8,2,7] => ([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,8,3,5,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,5,1,3,7,2,4,6] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,8,4,6,7] => ([(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[6,4,2,1,5,8,3,7] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,1,8,6,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,1,8,6,7] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,8,7,1,3,5] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,4,8,7,2,3,5] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,8,3,6,1,4,5] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,2,8,7,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,8,7,1,3,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,8,3,7,1,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,4,8,7,2,3,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,8,2,5,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,5,1,3,8,6] => ([(0,1),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,1,5,4,8,6] => ([(0,4),(1,2),(1,7),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,5,4,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,2,1,5,4,6,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,6,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,2,5,1,6,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,2,1,5,6,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,2,1,4,6,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,4,5,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,2,1,4,5,8,6] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,7,1,4,6,8,5] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)
[3,2,8,1,4,6,7,5] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,1,4,7,6,5] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,2,1,4,7,5,6] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,5,7,4,6] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,5,1,7,3,6] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,2,5,1,8,3,6] => ([(0,1),(0,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,1,5,8,4,6] => ([(0,1),(0,7),(1,4),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,1,4,8,5,6] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,1,7,5,8,6,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,6,8,4,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,7,6,1,8,3,5] => ([(0,2),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,6,8,1,2,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,6,7,1,2,5] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,8,6,1,7,3,5] => ([(0,3),(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,1,6,7,4,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,8,7,5,6,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,7,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,8,1,7,4,6,5] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,6,4,7,5] => ([(0,1),(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,6,4,8,5] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,6,1,3,8,5] => ([(0,4),(1,3),(1,7),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,8,6,1,3,7,5] => ([(0,3),(0,6),(1,4),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,1,3,6,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,7,8,3,4,1,2,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,8,1,3,6,5] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,2,6,8,1,3,7,5] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
[4,2,6,7,1,3,8,5] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[3,2,6,1,8,4,7,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[3,7,2,1,8,4,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[3,7,2,1,8,5,4,6] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,5,1,2,6] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,7,8,6,1,2,5] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,1,8,6,4,5] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,1,6,8,5,7,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,8,7,4,5] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[4,2,6,8,1,7,3,5] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,8,7,1,2,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,7,1,8,3,5] => ([(0,5),(0,6),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[3,2,6,1,7,8,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,6,4,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,2,7,8,5,3] => ([(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,2,7,5,4,8,6,3] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,5,4,6,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,8,7,5,4,6,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,3,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,5,4,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,2,5,4,8,7,3] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,4,8,7,3] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,8,7,5,3] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,2,4,6,5,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,1,8,2,7,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,3,8,5,4,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,2,3,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,6,1,5,8,2,7] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[7,8,4,1,5,3,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,1,6,3,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,1,5,7,3,8,4] => ([(0,6),(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,7,6,4,3,2,8] => ([(1,4),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,4,3,2,5] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,4,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,7,6,4,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,7,5,8,2,4] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,1,6,5,3,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,4,5,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,5,7,3,8,4] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,5,6,3,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,3,6,1,5,7,2,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,6,8,5,7,2,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,5,2,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,5,2,3,8,6] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,5,4,1,8,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,5,4,1,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,8,1,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8)
[7,8,2,3,4,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,4,7,8,2,5] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[1,8,5,7,4,3,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,4,3,2,6] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,4,3,2,6] => ([(0,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,4,3,2,7] => ([(0,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,1,4,3,2,8] => ([(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,4,3,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,8,7,1,4,3,2,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,5,4,1,3,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,4,1,8,2,7] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,5,1,4,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,5,1,4,3,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,7,1,5,8] => ([(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,2,7,5,4,1,6,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,8,1,5,7] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,5,4,7,8,3] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,8,1,7,2,5] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,6,3,7,5,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,2,5,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,4,6,1,7,5,3,8] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,5,4,6,2,8,1,3] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,6,3,5,8,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,7,1,4,8] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,3,2,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,7,8,5,3,6] => ([(0,3),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,1,6,3,8,7] => ([(0,1),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,1,6,4,7,8] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,8,4,3,2,1,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,2,1,6,4,7] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,5,8,2,1,4,6] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,6,4,3,2,1,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,5,1,8,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,2,8,1,4,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,8,1,4,5] => ([(0,2),(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,7,4,5,8] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[3,5,2,1,4,7,6,8] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,1,8,4,6] => ([(0,1),(0,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,1,3,7,8,6] => ([(0,5),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,6,1,4,5] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,1,4,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,7,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,1,4,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,6,1,4,5] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,3,5,4,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,7,5,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,3,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,2,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,6,2,8,3,4] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,6,2,8,4,3] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,6,5,1,8,3,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,1,8,4,3] => ([(0,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,1,4,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,6,4,1,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,6,1,5,4,8,7] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,7,6,1,4,8,5,3] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,4,8,3,5] => ([(0,4),(1,3),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,8,4,2,6] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,8,6,4,2] => ([(0,1),(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,5,8,4,3] => ([(0,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,1,8,5,3] => ([(0,4),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,7,6,3,8,5,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,6,3,8,4,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,2,8,4,1] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,1,8,3,5] => ([(0,5),(1,2),(1,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,8,6,2,4] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,5,1,8,2,4,7] => ([(0,4),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,8,7,6,1,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,5,7,1,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,5,4,8,1,2,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,5,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,8,7,3,6] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,3,5,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,8,1,6,2] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,4,8,7,5,6,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,7,5,1,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,4,8,1,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,6,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,6,8,1,4,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,6,8,1,2,4] => ([(0,4),(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,1,5,8,7,2,3] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,1,5,8,7,3,2] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,5,8,3,7,2] => ([(0,4),(0,5),(1,2),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,6,3,8,2,4] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,4,1,5,8,3,2,7] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,8,2,3,6] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,8,2,6,3] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,8,2,1,4] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,8,2,4,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,5,8,3,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,1,8,4,2] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,8,6,3,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,5,4,8,6,2,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,5,6,1,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,7,1,6,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,8,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,8,1,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,8,5,1,7,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,3,5,4,8,2,7,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,5,8,2,1,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,8,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,4,3,5,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,8,2,1,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,5,1,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,8,1,6,5,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,8,1,5,7,6] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,2,6,1,5,3,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,2,5,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,7,2,5,3,4] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,7,2,6,3,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,1,7,2,6,3,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,8,2,7,1,6,3,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,8,6,7,1,5,3,4] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,1,6,3,4] => ([(0,5),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,5,6,3,4] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,5,6,3,4] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,4,6,3,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,4,6,3,5] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,1,6,3,5] => ([(0,5),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,1,6,3,5] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,2,6,3,5] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,2,6,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,5,6,2,3] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,7,5,6,2,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,3,7,5,6,2,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,5,6,2,4] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,4,6,2,5] => ([(0,1),(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,4,6,2,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,2,6,4,5] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,2,6,4,5] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,1,6,4,5] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,4,6,1,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,5,6,1,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,5,6,1,3] => ([(0,1),(0,6),(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,5,6,1,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,4,7,5,6,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,7,5,6,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,3,7,5,6,1,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,4,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,1,6,4,5] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,3,6,4,5] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,8,6,4,1,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,8,6,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,8,6,1,5,2,3] => ([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,4,2,8,5,3] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,3,8,5,2,4] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,5,6,2,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,8,6,2,5,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,8,6,1,3,5] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,1,8,4,2,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,7,8,2,6,3,4] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,3,7,8,5,4,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,8,4,5,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,3,5,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,7,8,1,6,4] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,4,7,8,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,1,4,8,2,6,7] => ([(0,4),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,4,8,6,1,3,7] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,3,8,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,3,5,7,1,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,8,3,6,2,5] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,6,7,2,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,2,8,1,3,7,5] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,3,8,1,4,7,2,5] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,1,3,6,2,7,4] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,7,4,2,6,8,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,2,6,3,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,2,8,7,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,4,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,6,4,2,7,8] => ([(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,2,8,7,4] => ([(0,3),(0,4),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,5,8,2,7,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,8,1,5,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,2,6,8,1,7,4] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,2,5,6,1,3,8,7] => ([(0,1),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,6,8,4,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,5,4,8,6,1] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,7,3,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,5,8,3,6,1] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,8,4,3,7,1] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,4,8,2,7] => ([(0,3),(1,2),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,5,8,3,2,7] => ([(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,4,3,2,7] => ([(0,4),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,8,4,3,2,6] => ([(0,3),(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,4,3,8,6] => ([(0,3),(1,2),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,5,4,3,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,7,3,2,6] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,6,1,7,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,4,7,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,4,3,8,5] => ([(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,6,8,2,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,2,8,4,3,6,1] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,4,3,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,6,2,8,3,5,1] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,4,7,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,2,4,8,5,1] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,4,6,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,8,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,4,3,6,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,4,6,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,1,6,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,1,3,6,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,1,3,7,4] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,5,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,6,8,4,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,6,5,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,7,6,5,1,8,2,4] => ([(0,3),(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,7,5,1,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,3,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,4,7,8,5,3] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,4,8,1,5,7] => ([(0,5),(1,5),(1,6),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,7,2,8,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[7,3,8,4,5,6,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,4,8,7,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,5,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,4,2,8,7,3] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,2,7,3,6,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,7,5,1,8,6,3] => ([(0,3),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[7,8,1,4,2,6,5,3] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,3,4,2,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,2,8,1,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,4,2,3,5] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,1,8,6,3,4,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,1,4,5,6,8,3] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,6,5,7,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,7,5,8,4] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,3,8,5,7,2,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,5,8,1,4,2,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,3,2,1,4] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,7,2,8,5] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,3,5,4,2,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,4,3,1,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,1,2,6,4] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,2,1,7,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,4,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,6,3,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,5,3,8,1,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,3,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,8,5,7,3] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,6,5,3,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,2,4,7,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,5,8,2,6,4,3] => ([(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,8,5,7,6,2,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,8,5,7,1,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,5,6,2,7,4] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,5,2,1,4,7,3] => ([(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,2,5,6,1,7,4] => ([(0,4),(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,1,5,6,3,7,4] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,6,3,7,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,7,6,3,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,6,1,7,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,1,5,7,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,5,7,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,8,1,2,4,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,6,8,4,2,3] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,3,7,8,6,2,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,2,5,8,1,6,4,3] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,7,6,1,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,1,5,7,6,3,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,6,1,7,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,2,8,6,5,7,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,3,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[8,2,5,6,3,7,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,6,5,4,1,8,3] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,3,5,4,7,8,2] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,3,4,7,8,2] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,2,4,1,8,3] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,6,3,7,1,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,6,7,8,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,1,6,5,7,3,2,4] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,6,2,7,1,4] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,3,7,2,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,8,5,6,3,7,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,6,5,4,2,8,3] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,1,4,2,8,3] => ([(0,7),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,6,5,8,3] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,5,6,8,2] => ([(0,7),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,5,6,8,3] => ([(0,6),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,1,2,8,3] => ([(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,5,2,8,3] => ([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,6,4,5,2,8,3] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,5,7,2,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,1,6,5,7,2,4] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,5,7,6,2,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,5,4,1,6,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,4,3,7,8,2] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,2,1,8,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,5,7,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,5,1,8,3] => ([(0,6),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,3,5,7,8,2] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,4,5,7,8,2] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,4,5,1,8,3] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,3,6,5,7,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,7,8,5,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,7,2,5,1,6,8] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,2,5,8,3,6] => ([(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,2,4,7,1,5,8] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,5,8,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,5,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,6,5,1,4,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,5,8,3,4] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,6,1,5,3,7] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,5,1,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,5,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,5,7,3,8] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,8,6,4,7,3,5] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,7,4,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,3,6,2,4] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,4,7,2,5,8] => ([(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,5,1,3,4,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,3,4,5,1,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,3,1,5,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,8,2,5,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,7,4,1,6,2,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,7,6,3,1,2,4] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,1,4,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,8,5,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,2,8,4,5,7] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[4,2,1,3,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,4,5,3,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,1,5,3,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,6,4,3,8,2] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,2,7,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,5,2,3,4] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,1,7,4,8,2,3] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,5,6,4,8,2] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,5,4,2,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,7,3,4,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,7,5,8,2,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,3,6,2,7,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,6,8,2,5] => ([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,5,6,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,4,8,2,3] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,6,5,7,2,4,3] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,8,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,5,3,8,2,4] => ([(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,6,8,3,4] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,7,6,8,2,3] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,6,2,7,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,4,2,7,5,1] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,3,7,4,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,2,4,5,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,4,7,2,5,3] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,4,1,7,2,6,5] => ([(0,4),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,1,8,3,2,6] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,1,8,5,2,6] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[6,7,1,4,8,3,2,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,1,8,4,5,3,6] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,2,8,4,3,5,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,4,3,8,2,7] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,8,3,4,7] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,1,3,7,2,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,7,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,2,1,8,5,3,6] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,4,2,8,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6)],8)
[6,4,3,1,5,8,2,7] => ([(0,2),(1,6),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,4,5,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,5,3,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,5,4,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,6,7,5,2,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,6,7,3,5,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,5,4,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,5,6,7,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,4,7,2,1] => ([(0,4),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,7,3,6,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,8,7,3,4,1] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,7,4,6,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,5,6,2,4] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,4,6,3,5] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,7,6,2,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,5,8,7,4,2,3] => ([(0,6),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,8,7,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,6,7,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,5,6,3,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,3,5,8,7] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,1,4,3,5,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,1,4,3,8,5,7] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[8,2,1,4,3,6,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,4,1,3,8,5,7] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,3,5,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,3,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,3,5,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,1,3,5,8,7] => ([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,3,5,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,1,3,5,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,3,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,6,3,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,2,1,8,3,5,7] => ([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,6,1,4,3,8,5,7] => ([(0,6),(1,5),(2,3),(2,7),(3,7),(4,5),(4,7),(6,7)],8)
[2,1,6,4,3,8,5,7] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,8,4,3,6,5,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,1,4,3,6,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,4,1,3,6,5,7] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,1,3,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,2,1,4,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,2,1,4,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,4,6,3,5,7] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,8,3,5,7] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8)
[2,6,4,1,8,3,5,7] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[4,6,2,8,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8)
[4,2,6,1,8,3,5,7] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[6,2,4,1,8,3,5,7] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[4,2,1,6,8,3,5,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8)
[4,2,1,6,3,8,5,7] => ([(0,6),(1,2),(1,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[4,2,1,3,6,8,5,7] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[2,1,4,3,8,6,5,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,3,8,6,5,7] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[4,2,1,3,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[4,2,1,8,3,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[4,2,1,8,6,3,5,7] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,2,1,6,4,3,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,4,3,5,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,3,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,4,8,1,3,6,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,4,1,8,3,6,5,7] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[2,1,4,8,3,6,5,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,6,3,5,7] => ([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,6,3,5,7] => ([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,8,6,1,3,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,6,1,3,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,8,4,1,3,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,8,1,4,3,5,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,8,4,3,5,7] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,8,4,3,5,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,6,4,3,5,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,1,3,5,7] => ([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,1,5,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,2,4,3,8,1,7,6] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,5,3,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,1,5,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,5,2,8,1,7,6] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,6,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,6,1,7,5] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,7,2,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,5,2,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,1,8,3,4,2,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,1,3,2,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,1,5,4,8,3,7,6] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,1,7,6,8,3,4,2] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,6,8,1,5,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,1,8,5,6,2] => ([(0,1),(0,3),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,8,1,7,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,8,1,7,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,6,3,8,4,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,5,8,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,1,8,4,6,3,7,5] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,1,3,2,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,6,3,4,2,7,5] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,7,2,5,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,7,2,6,4] => ([(0,3),(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,6,1,7,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,2,6,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,5,1,7,4] => ([(0,5),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,5,3,6,4] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,1,5,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,1,7,3,6,5] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,4,3,6,1,7,5] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,4,6,1,7,5] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,5,4,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,2,7,6,8,1,5,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,2,7,1,8,5,6,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,5,8,1,7,4] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,7,2,4,3,8,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,4,1,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,2,4,1,8,5,6,3] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,2,4,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,6,8,1,5,2,4,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,1,7,3,8,5,6,4] => ([(0,1),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,3,2,8,5,6,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,5,6,2,4,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,8,2,6,4,5,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,1,5,4,6,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,7,4,5,3,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,2,6,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,2,6,1,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,8,1,7,2,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,1,6,5,8,3,7,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,7,4,8,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,5,7,1,8,3,4,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,4,8,3,5,2] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,1,8,3,6,2] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,8,1,7,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,3,1,5,4,6,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,3,4,7,1,8,6] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,4,8,3,5,7,6,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,1,8,6,7] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,5,3,6,7] => ([(0,7),(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,1,3,8,2,6,7] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,4,8,3,2,6,7] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,4,3,2,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,3,2,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,3,8,5,2,6] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,7,3,8,4,2,6] => ([(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,7,8,3,2,6] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,7,3,6,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,7,4,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,6,5,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,5,3,7,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,4,3,5,2] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,8,1,7,3,5,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,7,1,5,2,3] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,4,1,3,8,2,5] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,6,3,2,8,4] => ([(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,7,8,5,3,6] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,4,6,3,1,8,5] => ([(0,6),(1,2),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,3,7,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,8,3,7,5,1] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,4,1,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,3,1,4,8,5] => ([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,1,8,3,5,4,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,3,5,8,4,6] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,7,1,3,6,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,3,5,6,4] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,3,1,5,4] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,6,3,5,4,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,4,5,6,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,5,6,2,4] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,7,5,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,7,4,5,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,2,6,7,4,3] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,8,6,7,4,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,6,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,5,2,6,4,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,4,2,5,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,6,1,5,3,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,8,6,1,5,2,4] => ([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,6,1,5,3,4,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,4,5,3,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,6,4,3,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,1,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,2,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,2,7,4,3,1,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,4,6,2,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,3,4,5,7,2,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,3,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,3,7,1,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,3,6,2,5] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,7,5,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,7,3,2,6] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,1,4,2,6] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,4,3,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,8,4,2] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,4,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,7,5,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,4,6,8,3,7,2] => ([(0,5),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,3,5,8,6,2] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,6,4,1,7,2,5] => ([(0,4),(0,6),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,2,5,7,6,4] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,4,1,3,6] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,4,2,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,4,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,8,2,4,6,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,1,4,7,5] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,2,1,8,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,3,6,2,8,7,1,4] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,8,6,4,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,5,4,8,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,4,5,8,2,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,5,1,8,2,4] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,7,5,8,3,4] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,7,3,6,8,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,7,3,6,1,2,8,4] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,5,6,8,3] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,7,1,6,5,8,3] => ([(0,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,2,1,8,7,5,3] => ([(0,1),(0,2),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,7,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,2,5,8,7,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,1,4,8,2,7,3] => ([(0,5),(0,6),(1,2),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,3,1,8,7,2,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,4,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,1,5,7,8,2] => ([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,1,5,7,6,8,2] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,8,2,7,1,6,5,4] => ([(0,1),(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,6,1,5,4] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,6,5,1,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,6,5,4,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,2,6,5,3,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,2,6,5,1,3] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,7,2,6,1,5,3] => ([(0,2),(0,4),(0,5),(1,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,2,1,6,5,3] => ([(0,3),(0,4),(0,5),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,1,6,5,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,2,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,2,6,1,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,2,6,5,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,6,2,5,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,6,2,1,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,6,1,5,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,7,3,6,5,1,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,3,6,5,2,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,3,1,4,2] => ([(0,1),(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,3,2,4,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,2,4,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,4,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,4,2,1,3] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,4,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,6,4,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,6,4,3,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,3,8,2,5] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,4,5,7,1,3,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,3,5,1,7,4,8,2] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,7,4,8,3] => ([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,7,4,8,6] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[2,4,6,7,3,8,1,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,4,6,7,3,8,5,2] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,6,7,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,6,7,8,3,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,2,1,6,7,8,4,5] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,6,7,8,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,6,1,7,8,4,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,3,2,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,4,5,7,2,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,4,6,7,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,5,2,7,1,8,4] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,4,2,1,7,8,5] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,7,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,6,7,2,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,5,7,3,8,6] => ([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8)
[1,5,6,7,8,2,4,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,5,6,7,8,4,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,6,7,1,8,5,2] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,3,6,1,7,8,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,2,5,7,8] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,3,7,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,4,3,7,6,8,2,5] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,3,7,5,8,2,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,3,7,2,6,5,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,5,3,7,4,8,2,6] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,5,8,4,7] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,2,6,3,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,5,4,8,3,7,2,6] => ([(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,5,8,4,7] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,2,4,5,7,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,8,4,5,2,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,4,5,3,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,4,1,6,5,2] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,3,6,1,5,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,1,6,4,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,7,6,3,2] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,1,8,6,2,4,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,8,2,6,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[7,1,8,4,2,6,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,8,5,2,4,7] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,8,5,2,4,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,4,1,6,5,3] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,8,3,6,5,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,8,3,6,1,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,8,2,3,6,5,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,8,4,7,6] => ([(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[5,1,2,3,8,4,7,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6)],8)
[6,2,8,1,3,5,4,7] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,4,2,8,5,7] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[3,1,6,4,2,8,5,7] => ([(0,5),(1,4),(2,4),(2,6),(3,6),(3,7),(5,7),(6,7)],8)
[2,6,3,8,7,1,5,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,3,8,5,1,4,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,1,3,8,4,7,6] => ([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8)
[1,2,5,3,8,4,7,6] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,2,4,8,3,7,6,5] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,3,7,6,5] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,8,3,7,1,6,5] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,3,7,6,1,5] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,1,3,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,2,3,7,6,1,5] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,3,7,1,6,5] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,3,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[1,4,8,2,3,7,6,5] => ([(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,3,7,2,6,5] => ([(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,1,5,2,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,1,2,4,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,5,4,8,2,7,6,3] => ([(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,6,4,2,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,2,8,7,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,5,8,7,6,3] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,8,7,5,1,4] => ([(0,1),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,8,7,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,3,1,5,8,2,7,6] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,2,6,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,1,2,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,1,7,2,6,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,8,7,2,6,5] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,4,8,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,8,1,2,7,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,8,2,7,1,6,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,2,7,6,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,5,3,6,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,2,7,3,5,8] => ([(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,3,7,5,4,1,8,6] => ([(0,7),(1,7),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,5,4,2,7,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,4,2,6,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,5,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,2,5,4,1,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,5,4,6,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,1,5,4,7,3,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,4,7,8,2] => ([(0,7),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,4,7,1,8] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,7,3,8,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,5,8,6,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,1,8,3,6,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,2,6,7,4,8,1,5] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,7,4,8,5,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,3,8,4,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,3,8,1,4] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,2,4,8,3] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,3,1,4,8] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,4,8,3,5,6] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[3,7,6,4,8,5,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,3,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,6,2,4,8,3,7] => ([(0,6),(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,5,2,1,3,8] => ([(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,7,6,5,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,2,8,3,4] => ([(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,3,2,8,4] => ([(1,4),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,1,2,8,3] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,3,5,4,8,7,2] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,3,4,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,2,4,7,8,3] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,6,3,4,8,7,5] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,7,2,4,8,3,6,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,4,2,8,3,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,1,8,2,6,3,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,7,2,1,5,3,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,7,1,6,2,3,8,5] => ([(0,5),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[1,7,2,6,8,3,5,4] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,7,4,8,5,3] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,7,4,2,8,5] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,5,4,6,1,7] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,5,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,2,5,3,8,6] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[3,7,6,5,2,4,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,1,4,8,2] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,2,1,8,4] => ([(0,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,8,2,4,3] => ([(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,8,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,7,6,5,1,2,4,8] => ([(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,4,2,5,7] => ([(0,6),(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,8,3,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,6,5,1,4,3,8] => ([(1,4),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,8,1,3,4] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,8,4,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,1,7,4,8,5] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,1,7,3,5,8,6] => ([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8)
[8,4,1,5,2,7,6,3] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,1,3,7,6,4] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,1,5,8,6] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,2,5,3,1,8,6] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,4,1,3,8,6] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,2,1,8,6] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,8,4,3,7] => ([(0,3),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,3,2,8,1,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,2,4,8,3,5] => ([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,6,4,8,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,5,3,8,1,4] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,8,5,3,6,4,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,3,2,7,1,6,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,1,5,4,3] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,4,3,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,2,4,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,7,2,5,4] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,6,1,4,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,8,2,1,4] => ([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,8,4,1,5] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,8,1,4,2,7] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,5,8,4,1,3,7] => ([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,4,8,3,2,1,7] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,8,4,2,7] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,7,3,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,8,2,3,7] => ([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,4,8,5,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,5,8,6,3,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,8,4,7,5,2] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,7,4,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,1,7,6,2,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,8,1,7,3,6,4] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,4,7,8,1,5,3,2] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,7,1,3,6,4] => ([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,2,1,6,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,1,5,4,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,5,1,4,3] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,6,2,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,6,1,3,5] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,2,6,1,4] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,6,5,1,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,6,4,2,1] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,2,5,3,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,5,1,4,2] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,5,4,1,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,1,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,8,2,4,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,2,4,1,6] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,4,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,6,4,3,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,2,5,4,3,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,4,6,3,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,2,6,5,3,8,7] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,5,7,8,3,2,6] => ([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,8,7,3,2,6] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,3,6,2,5] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,7,8,5,2,3,6] => ([(0,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,4,8,2,3,6] => ([(0,7),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,1,4,2,6] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,5,8,7,3,4,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,7,2,3,6] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,1,8,7,5,2,3,6] => ([(0,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,3,2,8,5] => ([(0,3),(1,2),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,7,5,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,2,3,8,6,5,4] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,5,8,6,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,1,4,3,7,2,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,2,4,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,4,8,6,5] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,3,2,4,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,4,3,8,2,5] => ([(0,6),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,2,3,5,7,6,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,6,7,5,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,6,8,5,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,8,5,6,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,2,3,7,5,6,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,6,5,7,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,5,4,3,2,6] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,6,3,4,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,7,3,4,1,5] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,3,4,1,5] => ([(0,4),(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,8,7,1,4,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,1,4,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,8,1,4,2,7,5] => ([(0,3),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,7,8,2,4,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,4,2,8,5] => ([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,2,8,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,3,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,4,3,2,6] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,5,3,2,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,1,4,2,6] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,4,6,8,5] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,3,2,4,1,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,4,3,6,1,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,5,6,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,8,7,4,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,2,3,7,8,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,2,3,8,7,6,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,2,3,8,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,2,3,5,8,7,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,6,2,4,3,1,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,4,8,1,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,4,8,7,5] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[8,6,3,2,4,7,1,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,4,3,1,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,5,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,2,3,6,8,7,4] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,1,2,6,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,2,7,3,5,6] => ([(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,2,8,5,4,7,3,6] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,4,2,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,8,4,7,1,5] => ([(0,7),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,8,4,7,5,2] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,7,3,6,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,8,5,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,8,4,5,7,3] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,4,3,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,5,2,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,4,2,6,3,5,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,4,7,2,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,3,8,5,4,2,7] => ([(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,7,3,5,4,2] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,3,6,5,4,2,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,5,4,2,8] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,6,3,5,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,6,5,1,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,6,5,4,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,2,7,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,2,3,8,5,4,7] => ([(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,8,2,7,6,3,4] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,2,7,6,3,4] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,7,6,3,4,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,7,3,5,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,8,2,1,7,4,3,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,1,2,8,5,7] => ([(0,3),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,8,5,4,7] => ([(0,1),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,8,7,6,3,4] => ([(0,1),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,8,7,4,6,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,3,8,7,4,6] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,4,8,7,6,5,1,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,8,7,1,6,4] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,8,4,1,7,6,3] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,8,7,1,4,2,6] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,8,4,1,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,8,7,6,3,5,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,6,5,3,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,7,6,5,3,2] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,6,5,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,8,7,2,5,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,8,3,7,6,1,4,2] => ([(0,1),(0,4),(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,3,8,7,6,2,4] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,3,8,7,6,2,4] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,4,7,2,6,3] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,7,2,6,3] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,4,6,1,2,3] => ([(0,2),(0,3),(0,4),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,2,4,7,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,3,1,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,4,3,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,1,2,4,3,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,1,7,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,7,2,6,3] => ([(0,2),(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,8,7,4,6] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,7,4,6,2] => ([(0,1),(0,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,7,2,6,4] => ([(0,1),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,1,2,8,5,7] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,8,3,1,7,2,6] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,8,7,1,3,6] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,5,8,7,1,6,4] => ([(0,1),(0,7),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,8,7,6,2,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,7,6,2,5] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,4,8,7,6,2,5] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,6,2,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,8,7,4,6,1] => ([(0,1),(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,1,7,6,2] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,3,5,8,7,4,6] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,5,8,6,4,3] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,8,2,6,5,3] => ([(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,1,3,7,5,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,8,1,2,6,5,4] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,8,2,6,5,4] => ([(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,7,8,1,6,5,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,8,1,3,6,5,4] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,2,6,7,3,5,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,6,7,5,3,4] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,1,3,6,4] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,6,7,3,5,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,8,3,7,1,5,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,4,7,1,5,3] => ([(0,6),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,1,7,5,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,3,7,4,1,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,8,3,7,5,1,4] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,6,7,5,3,4] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,1,6,3,4] => ([(0,5),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,3,6,1,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,2,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,4,1,6,2] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,2,4,7,1,6,3] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,3,5,7,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,4,7,3,6,1,5] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,4,6,3,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,4,6,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,6,2,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,3,6,2,5] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,7,2,5,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,3,5,7,1,2,6,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,1,3,6,2,4] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,5,4,7,1,6,2,3] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,1,2,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,7,2,6,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,8,2,7,5,3] => ([(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,5,8,2,7,4,3] => ([(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,3,1,7,4,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,1,7,4,3] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,7,2,6,3] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,6,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,1,6,2,4] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,7,5,2,4] => ([(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,7,5,1,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,2,7,1,5,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,4,7,3,1,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,7,3,1,6,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,7,1,6,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,4,7,2,6,1,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,3,4,6,2,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,4,6,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,7,1,6,3] => ([(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,4,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,5,2,6,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,3,6,1,4] => ([(0,1),(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,3,4,6,1,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,3,6,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,5,4,7,6] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,8,5,3,7,1,6] => ([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,8,4,3,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,4,3,7,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,8,4,3,1,6,5] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,4,8,2,1,6,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,4,8,2,7,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,1,8,2,7,6] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,5,2,3,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,4,3,2,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,8,1,7,6] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,8,7,1,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,8,7,5,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,1,7,8,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,2,7,8,5] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6)],8)
[3,6,4,2,7,8,1,5] => ([(0,5),(0,7),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,3,7,2,5] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,3,6,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,3,6,5,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,2,6,1,5,8] => ([(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,2,6,5,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,2,6,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,5,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,2,1,5,4,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,7,5,6,2,4,8] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,6,1,3,4,8] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,7,1,3,8,4] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,6,4,7,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,4,1,7,2,8,3] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,6,2,1,8,3] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,5,7,1,8,2,3] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,4,6,1,7,8,2,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,6,7,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,4,6,8,7,3,5] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,8,7,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,6,8,7,2,5] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(5,6),(5,7),(6,7)],8)
[5,3,6,8,7,2,4,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,5,1,8,7,2,4] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,6,2,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,6,3,1,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,5,1,7,3,4] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,8,6,7,3,5] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,2,8,6,7,4,5] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,8,6,7,1,4,5] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,6,7,4,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,8,7,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,6,1,5,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,7,6,4,1,3] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,1,8,6,5,4,3] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,1,8,5,4,2] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,8,5,4,2,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,8,6,4,1,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,7,8,6,5,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,6,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,7,6,2,4,3] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,6,8,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,5,7,6,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,1,7,6,8,3,2] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,5,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,3,1,8,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,4,3,8,2] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,5,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,5,1,4,8,2] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,6,7,5,4,2,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,4,3,2] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,5,4,3,8] => ([(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,1,4,2,8] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,3,1,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,3,1,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,5,2,7,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,3,2,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,7,2,4,5] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,5,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,7,2,4,6,8] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,7,1,2,4,5,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,4,7,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,6,7,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,6,4,2,7,3] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,6,4,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,5,3,4,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,5,2,4,7,3] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,5,7,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,7,4,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,1,2,5,4,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,3,8,6,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,7,3,6,8] => ([(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,2,6,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,8,1,2,4,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,1,3,4,6,2] => ([(0,4),(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,1,7,3,4,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,5,7,2,4,6,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,7,6,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,2,3,8,7,5,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,4,2,7,6,3,5,8] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,1,2,8,7,5,3,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,8,7,5,3] => ([(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,4,6,7,5,2] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,6,4,8,5,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,4,6,8,5,3] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,8,5,3,4] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,7,8,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,7,4,8,5,3] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,4,7,8,5,2] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,3,8,4,6,2] => ([(0,5),(0,6),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,8,4,2,6,3] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,5,3,2,8,6,4] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,5,2,8,6,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,1,5,8,6,2] => ([(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,1,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,5,2,6,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,3,2,6,4] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,2,6,4,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,4,7,5,6] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,6,4,5,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,6,4,5,8] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,4,2,3,8,6,5,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,8,1,7,2,4,6,3] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,1,3,4,7,6,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,8,6,4,7,5,2] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,7,4,5,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,8,7,3,5,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,2,3,5,8,4,7,6] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,5,8,6,4,7] => ([(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,2,8,3,6,5,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,8,6,4,5,3] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,8,4,6,5,2] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,7,6,4,5,2] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,4,6,5,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,3,6,5,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,8,7,4,6] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,3,6,8,5,4,7] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,6,3,1,4,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,3,1,4,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,8,5,3,1,4,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,1,6,2,4] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,6,3,4,1,8,2] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,1,2,8,4] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,1,2,8,4] => ([(0,5),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,4,2,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,6,4,8,2] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,4,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,3,6,4,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,4,6,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,1,8,4,6,2] => ([(0,1),(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,8,2,6,4] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,6,4,2,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,8,4,2,6] => ([(0,2),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,8,6,2,4] => ([(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,1,6,4,2] => ([(0,1),(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,6,1,4,2] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,3,8,6,4,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,1,6,4,2] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,3,6,1,4,2,8] => ([(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,4,1,2,6] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,6,3,1,2,4] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,8,6,3,1,4,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,6,8,3,1,4,2] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,6,3,8,1,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,4,1,8,2,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,1,8,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,1,8,4,2] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,8,1,4,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,6,3,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,6,1,8,4,2] => ([(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,2,8,4,6] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,2,8,6,4] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,4,8,6,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,4,8,1,6,2] => ([(0,1),(0,6),(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,4,1,6,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,4,6,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,5,4,1,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,4,7,6,1] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,7,3,2,8,6,1] => ([(0,1),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,2,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,4,1,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,2,7,6,1] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,8,5,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,3,7,5,2,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,4,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,5,8,4,7,6,3] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,4,8,6,1] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,3,2,8,6,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,3,2,8,6,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,6,5,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,7,5,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,8,5,2,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,6,8,5,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,7,5,4,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,7,5,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,7,5,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,6,5,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,3,7,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,8,5,2,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,8,5,4,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,6,7,5,4,1] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,4,7,6,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,6,5,4,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,8,7,5,4,1] => ([(0,1),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,8,5,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,7,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,6,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,2,8,6,1] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,2,8,6,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,4,8,6,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,4,8,6,3] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,6,5,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,3,6,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,3,7,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,8,7,5,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,8,5,4,1] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,8,5,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,2,4,5,7,3] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,8,2,4,7,1,6] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,4,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,3,6,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,8,3,1,6,7] => ([(0,6),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,3,7,1,6] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,4,7,3,5] => ([(0,1),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,8,3,6,7,4] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,8,4,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,8,2,4,7,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,2,6,8,5,7,4] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,2,6,7,5] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,3,2,1,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,2,6,1,8] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,7,5,1,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,2,1,8,5,7] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,2,5,8,6] => ([(0,7),(1,4),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,1,7,8,2,6,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,2,7,8,6,4] => ([(0,1),(0,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,4,8,2,6,3] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,8,6,1,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,7,6,3,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,1,4,2,6,3] => ([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,2,7,6,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,1,7,2,6,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,5,2,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,1,5,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,3,6,5,2,1,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,4,2,1,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,4,2,8,7,5] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,3,6,2,7,5,4] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,4,2,5,3] => ([(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,5,3,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,3,8,5,1,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,2,8,4,5,3] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,2,6,8,5,4] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,7,4,8,6] => ([(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[6,3,2,1,8,5,4,7] => ([(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,2,7,4,1,8] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,3,7,4,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,1,6,4,7] => ([(0,7),(1,5),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,8,5,4,6] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,3,7,8,5,4] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,7,2,8,4,5,3] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,8,2,4,6,3] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[5,1,2,7,8,3,6,4] => ([(0,7),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(5,6),(6,7)],8)
[2,4,1,7,8,6,3,5] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,7,3,8,5,6] => ([(0,3),(0,4),(1,2),(1,6),(2,6),(3,7),(4,7),(5,6),(5,7)],8)
[6,2,8,4,3,1,5,7] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,1,8,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[7,8,3,2,5,6,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,2,4,5,6,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,1,2,4,5,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,5,1,4,6] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,5,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,5,2,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,5,3,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,1,6,5,3,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,8,1,7,5,3,6] => ([(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,2,4,1,7,6,3,5] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,5,6,2,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,3,7,5,4,1,2] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,6,7,5,2,4,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,4,3,7,5] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,5,4,3,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,8,6,4,3,7] => ([(0,7),(1,2),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,2,6,4,3,1,8] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,5,4,3,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,5,4,3,7] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,5,4,3,8,6] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,3,8,6,5] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,2,8,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,5,4,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,2,6,5,4] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,3,2,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,3,2,1,7,4] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,1,7,4,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,1,7,2,3] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,7,3,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,4,3,2,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,2,7,5,1,8] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,7,2,5,8,6] => ([(1,7),(2,5),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[7,4,8,3,1,6,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,8,3,2,6,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,7,4,1,8,2,6,3] => ([(0,2),(0,5),(0,6),(1,3),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,3,1,8,6,2] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,5,4,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,3,7,2,6,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,7,5,2,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,6,3,5,2,7] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,5,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,8,4,2,7] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,7,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,6,8,7,2,5] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,8,7,2,5,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,6,2,4,8,7,5,3] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,7,5,3,2] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,4,8,5,2,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,8,5,1,2,4] => ([(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,2,6,8,4,5] => ([(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,5,2,8,1,4,7] => ([(0,3),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,7,2,4,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,3,8,1,5,7] => ([(0,6),(1,4),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,6,7,3,5,1,8] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,4,7,5,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,4,1,8,5,7] => ([(0,4),(1,4),(1,6),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[7,3,8,2,1,6,4,5] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,2,1,8,6,4] => ([(0,2),(0,6),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,7,6,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,2,1,4,6,5] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,1,5,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,1,5,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,8,1,6,5,3,7] => ([(0,5),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,8,1,5,7,3,6] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,5,7,6,1,4,2,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,3,5,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,5,4,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,7,3,5,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,8,2,4,6,7,3,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,7,1,3,6] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,6,4,3,7] => ([(0,1),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,6,4,3,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,8,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,4,8,6,3,5] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,7,8,3,6,5,4] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,6,3,5,4,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,5,2,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,6,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,4,2,3,5,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,7,3,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,5,7,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,6,5,8,3,2] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,8,5,4,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,4,3,8,2,6] => ([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,4,6,2,8,3] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,2,4,7,8,1,5] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,8,7,2,3,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,7,8,2,4,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[3,4,7,2,5,8,1,6] => ([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,2,7,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[2,8,3,1,5,6,4,7] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,7,1,5,4,2,6] => ([(0,6),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,5,7,6,2,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,6,1,5,3,7,4] => ([(0,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,3,8,2,4] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,2,1,3,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,5,3,7,2,6,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,2,8,1,6,3] => ([(0,1),(0,5),(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,8,4,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,4,1,6,5,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,6,1,5,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,5,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[4,8,5,2,7,1,3,6] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,1,7,4,8] => ([(1,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,3,1,4,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,5,4,2,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,7,2,5,3,8] => ([(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,2,5,3,7] => ([(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,5,8,2,4,3,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,6,8,2,4,3,7,5] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,4,3,7,8,5] => ([(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,6,2,4,7,3,8] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,6,2,4,7,8,3] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,8,2,4,7,3,6] => ([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,7,2,4,8,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,2,4,3,8] => ([(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,2,4,3,8,5] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,7,2,4,8,3] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,4,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,2,4,6,8,3] => ([(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,8,3,2,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,2,4,8,3,7] => ([(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,6,2,8,3,4,5] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,2,8,6,5] => ([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,8,7,5] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,5,6,2,4,8,7,3] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,3,2,4,6] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,5,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,5,2,3,4,8,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,6,5,2,3,8,7,4] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,8,6,5,3] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,2,8,4,3] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,5,2,3,8,4] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,8,4,3,6] => ([(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,6,2,8,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,6,2,4,8,3] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,5,2,3,7,4,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,3,7,8,4] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,8,4,2,3,7,5] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,7,4,6,2,8,3,5] => ([(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,2,8,4,6] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,5,2,3,7,4] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,4,2,3,7,8,5] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,2,3,7,5,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,8,6,2,4,7,3] => ([(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,2,4,8,6] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,4,2,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,8,5,3,6] => ([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,7,4,2,3,8,5] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,4,2,3,8,5,7] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,7,6,4,2,8,5,3] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,8,6,4,3] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,2,3,8,7,5] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,6,1,4,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,5,6,1,4,8,2] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,4,1,6,7,5,3] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,2,7,5,3] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,2,8,5,7] => ([(0,5),(1,3),(1,7),(2,5),(2,7),(3,6),(4,6),(4,7),(6,7)],8)
[1,6,7,4,3,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,1,4,3,5,8,2] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,4,3,5,8,2] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,1,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,6,3,5,8,2] => ([(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,7,6,5,8,2] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,4,3,5,8,2] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,6,4,3,5,8,2] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,4,3,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,2,7,5,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,7,2,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,3,8,2,5,6] => ([(0,4),(0,7),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,1,3,8,2,5,6] => ([(0,5),(0,7),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,2,8,5,7] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(6,7)],8)
[4,7,3,1,2,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,8,1,2,6,5,3] => ([(0,1),(0,2),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,4,2,7,5,3] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,4,2,7,5,3] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,7,2,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,3,6,2,5,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,3,2,1,4] => ([(0,1),(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,7,2,5,6] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,4,7,6,1,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,6,2,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,6,8,2,1,5] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,7,8,6,1,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,3,8,2,5,6] => ([(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,3,2,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,8,6,1,7] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,7,5,4,8,2,1,6] => ([(0,6),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,4,2,8,5,6] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,3,8,2,5,7] => ([(0,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,7,3,8,2,5,6] => ([(0,5),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[8,1,4,3,7,2,5,6] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,7,6,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,7,8,6,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,3,4,8,6,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,7,5,6,3,8,1,4] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,2,6,3,8,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,7,2,6,8,4,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,5,6,8,4,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,3,8,5,6,1,7] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,3,8,7,6,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,2,3,7,5,6,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,3,7,2,5,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,4,2,6,5,3] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,8,2,5,6,3] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[3,7,4,8,5,2,1,6] => ([(0,6),(0,7),(1,3),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,5,6,1,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,3,6,2,5,7] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,3,2,1,4] => ([(0,1),(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,7,6,1,4] => ([(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,8,6,2,1,4] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,6,5,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,6,2,5,4] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,7,6,8,2,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,6,5,8,2,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,7,5,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,7,5,8,3,4] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,6,5,7,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,5,2,4,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,6,5,7,3,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,8,5,6,3,4] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,8,1,4,2,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,5,6,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,6,7,1,3,2,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,2,7,6,8,4,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,8,2,4,3,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,8,1,6,2,4,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,4,2,6,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,4,2,5,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,4,3,6,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,2,4,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,5,8,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,5,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,3,8,7,4,5] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,4,3,2,8,6,5] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,6,2,5,8,3] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,6,5,3,7,4,8] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,6,5,3,7,8,4] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,7,5,2,6,8,4] => ([(1,6),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,2,6,8,5] => ([(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,6,4,3,7,8,5] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,2,6,4,3,7,5,8] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,7,3,2,5,8,6] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,3,2,5,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,5,3,2,4,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,7,5,3,2,8,6,4] => ([(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,4,8,7,6] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[7,6,5,4,3,1,8,2] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,3,2,1,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,4,3,8,6,2] => ([(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,3,7,1,6] => ([(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,3,8,5,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,4,7,2,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,3,8,4,2] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,3,7,1,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,3,4,7,2,6,5] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,3,2,1,6] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,3,2,1,6] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,6,8,4,3,2] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,2,6,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,8,2,1,7,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,4,6,5,2,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,7,5,6,1,3,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,1,8,4,3,6] => ([(0,3),(1,2),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,4,2,3,6] => ([(0,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,8,6,7,4,3,5,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,2,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,6,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,3,2,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,1,4,6,5,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,2,4,3,8,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,6,8,2,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,8,1,7,2,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,2,6,8,5,7,1,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,2,4,8,5,1] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,5,2,1,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,5,4,3,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,7,4,1,8,6] => ([(0,3),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,7,5,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,7,6,2,3,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,2,5,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,3,5,6,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,2,5,6,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,2,5,6,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,5,8,2,7,3] => ([(0,4),(0,6),(1,2),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,8,7,3,6,1,4] => ([(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,7,4,6,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,6,7,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,3,2,8,5,6,1] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,1,8,5,6,3] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,7,2,8,5,6,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,7,3,5,6,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,1,5,6,2] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,2,8,5,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,4,8,5,6,2] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,4,8,5,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,5,2,7,4,3] => ([(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,4,5,8,6,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,6,7,5,4] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,6,4,7,5,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,4,1,5,3] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,3,5,8,7,1,4] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,2,1,5,8,4,3] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,6,1,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,8,4,7,2,3] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,8,7,5,2,1,4] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,5,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,6,4,7,3,2,5] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,2,3,8,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,8,5,3,7,1] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,4,2,1,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,8,4,1,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,5,2,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,8,7,3,5,2] => ([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,4,3,5,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,8,1,3,5,6,2] => ([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,4,1,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,3,5,6,1] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,2,5,6,4] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,2,5,6,4] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,1,5,6,4] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,8,4,6,7,3,1,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,7,6,1,5] => ([(0,1),(0,3),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,2,1,3,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,2,4,3,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,3,7,1,5,6,4] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,3,5,6,4] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,3,2,8,5,7] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,6,2,1,4,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,5,2,8,3,1,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,5,1,8,2,6] => ([(0,1),(0,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,5,2,7,4,3,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,4,3,8,1,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,1,4,5,2,7] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,8,1,2,4,5,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,6,2,4,5,3,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,2,5,4,7] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,2,3,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,1,6,5,8,2,3,7] => ([(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,6,2,5,1,7] => ([(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,4,5,2,7] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,8,4,5,1,7] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,5,4,3,8,1,6] => ([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,7,4,2,5,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,4,3,1,6,2,5] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,3,8,6,2,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,5,3,4,8,2,6] => ([(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,1,7,4,5,3] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,5,7,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,7,6,8,2,1,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,1,8,7,4,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,4,3,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,3,4,7,2] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,3,4,7,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,5,6,7,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,8,4,3,1,7,2] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,2,8,1,7,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,2,8,1,3,6,4,5] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,2,3,6,7,4] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,5,6,7,4] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,1,5,6,7,4] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,3,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,5,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,8,3,5,6,7,4] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,2,3,6,7,5] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,8,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,8,2,4,3,6] => ([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,8,1,2,4,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,1,2,3,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,2,7,1,8,6,3,5] => ([(0,3),(0,4),(1,2),(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,2,6,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,8,2,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,7,4,1,2] => ([(0,1),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,6,8,4,7,5] => ([(0,5),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(6,7)],8)
[2,4,3,7,1,8,5,6] => ([(0,7),(1,4),(1,5),(2,3),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,7,3,2,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,1,4,3,8,5,6] => ([(0,6),(1,4),(1,5),(2,3),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,1,8,6,3,7,5] => ([(0,3),(1,3),(1,4),(2,5),(2,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,6,2,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,7,2,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,5,8,2,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,5,8,2,1,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,3,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,8,6,1,7,4] => ([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[8,2,5,6,1,4,7,3] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,4,1,2,7,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,3,7,5,4] => ([(0,2),(1,6),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,6,2,8,5,3] => ([(0,4),(0,6),(1,3),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,3,8,7,2,4] => ([(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,7,1,5,4] => ([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,5,8,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,1,2,7,4] => ([(0,3),(0,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,4,8,1,7,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,4,8,2,6,7,3] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,2,5,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,8,5,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)
[1,5,4,8,2,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,1,5,8,6,3,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,5,1,6,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,8,6,2,7,4] => ([(0,3),(1,5),(1,6),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,4,8,5,1,7,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,3,4,8,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,1,2,8,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,1,2,6,3] => ([(0,4),(0,5),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,8,4,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,8,7,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,4,8,1,2,7,3] => ([(0,3),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,2,3,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,8,2,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,8,2,7,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,1,2,8,3] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,8,1,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,3,7,1,4,2,8] => ([(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,3,1,8,4,2,7] => ([(0,2),(1,4),(1,6),(1,7),(2,3),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,4,8,3,2,6] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,7,3,5,2] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,4,8,3,6,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,4,8,2] => ([(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,5,8,7,2] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,3,8,6,2] => ([(0,4),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,3,7,6,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,3,7,2,6] => ([(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,3,8,2,6] => ([(0,1),(0,7),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,3,2,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,3,2,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,2,5,3,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,2,7,4,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,1,4,2,7] => ([(0,4),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,4,3,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,1,7,2,5,4,3,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,5,4,6,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,2,5,4,8,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,1,4,7,2] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,2,7,8,4] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,4,2,6,8,3] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,2,5,7,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,3,2,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,5,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,5,7,2,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,3,6,2,8] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,3,6,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,3,6,7,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,3,6,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,5,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,4,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,5,1,8,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,6,1,8,2,3] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,7,5,6,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,8,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,3,6,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,7,1,8,2,3] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,6,1,8,4,7,2,3] => ([(0,3),(0,4),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,8,6,7,2,3] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,5,1,6,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,5,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,5,1,8,2,7] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,4,8,1,5,3,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,3,6,1,5,4,7] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,3,6,2,4] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,6,2,7,4,5] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,3,5,1,8] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,4,8,2,5] => ([(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,8,4,6,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,5,3,8,2,4] => ([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,5,8,1,4,2,3] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,1,8,4,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,8,1,4,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,4,2,7,5,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,1,8,4,7,5,6] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,1,6,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,6,1,4,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,7,1,4,3,5] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,1,4,3,7,5,6] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,5,4,6,1,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,3,6,1,8] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,8,2,7,3,6] => ([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[3,4,1,8,6,7,2,5] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,2,5,1,8,6,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,8,1,6,3,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,3,6,1,8,2,7] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,5,8,4,6,2,3] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,4,2,5,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,7,5,1,2,4] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,3,2,5,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,8,3,5,2,4] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,3,8,5,2,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,2,4,5,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,3,5,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,3,8,5,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,5,2,6,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,5,2,3,6,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,3,1,7,6,4] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,7,1,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,3,1,5,4] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,2,4,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,3,4,1,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,1,6,3,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,4,6,3,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,7,6,3,5] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,2,7,1,6,3,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,2,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,3,1,4,2,6] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,1,4,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,1,3,6,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,1,3,7,6,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,2,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,2,6,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,1,7,2,6,5] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,3,1,2,7,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,7,2,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,2,7,6,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,1,6,2,3] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,1,2,6,3] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,2,7,6,3] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,7,2,5,3] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,8,4,2,7,3] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,3,6,4,1,2,7] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,6,4,1,3,7] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,7,5,1,6,2,3] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,1,2,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,1,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,1,2,6,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,5,1,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,3,5,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,3,1,5,2,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,1,5,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,7,6,4,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,4,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,6,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,2,6,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,2,4,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,4,7,6,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,7,4,6,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,1,5,6,4] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,1,5,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,6,3,4,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,3,6,4,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,3,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,5,6,7,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,8,6,2,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,5,7,8,6,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,7,6,3,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,2,1,5,8,7] => ([(0,4),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,3,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,3,7,6,4,2] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,2,3,6,1,8,5] => ([(0,5),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,4,2,8,1,5,6] => ([(0,5),(0,7),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,5,7,3,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,3,8,5,1] => ([(0,5),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,5,3,4,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,7,6,3,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,7,6,3,8,5] => ([(0,1),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,6,2,8,5] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[8,5,1,6,3,2,7,4] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,5,2,8,4] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,6,8,4,7,5,1] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,8,6,7,3,1,5] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,2,1,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,5,8,1,6,3,2] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,4,3,2,7,8,1,5] => ([(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,1,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[2,4,8,5,7,1,3,6] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,1,4,6,8,5,2] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,6,1,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,3,8,7,5,6,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,3,5,1,8,4] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,8,4,2,5,3,1] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,6,3,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,2,8,4,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,5,2,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,4,5,8,3] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,8,2,1,7,3,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,4,3,5,1,6,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,6,3,5,8,7,2] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,8,4,3,7,1] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,5,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,5,8,4,7,3] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,5,4,3,7] => ([(0,4),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,6,2,3,7] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,4,8,7,3,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,3,5,1,7] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,7,6,1,3,5] => ([(0,2),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,7,5,4,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,2,6,7,4,5] => ([(0,2),(0,7),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,4,3,2,7,1,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,3,2,5,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,2,1,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,4,3,7,5,6] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,4,5,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,4,2,3,6,1,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,3,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,3,1,6,4,5,7] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,2,1,3,4,7,5,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,5,4,8,6] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,2,3,6,4,8] => ([(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,2,3,5,4,8,6] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,4,5,7,6] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,4,6,7,5] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,8,2,3,5,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,7,8,2,5,3,6,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,2,4,5,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,8,3,6,4,5] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,7,8,3,6,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,2,8,4,6,7,5] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,2,4,3,6,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,1,5,2,8,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,1,5,2,7,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,5,1,2,8,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,1,5,2,4,8] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,1,2,8,3] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,4,1,7,2,3] => ([(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,1,8,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,5,1,2,8,3] => ([(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,1,5,2,7,4] => ([(0,5),(0,7),(1,2),(1,4),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,4,1,7,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,5,7,1,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,8,6,7,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,8,6,1,7,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,1,6,7,2,4] => ([(0,1),(0,4),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,7,6,1,8,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,6,5,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,5,7,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,7,4,6,1,8,2,3] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,6,1,7,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,1,6,7,2,4] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,3,1,6,8,2,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,3,1,7,8,2,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,1,7,6,2,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,4,8,1,6,2,3] => ([(0,1),(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,8,1,7,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,8,6,7,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,7,8,6,3,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,8,1,7,6,2,4] => ([(0,1),(0,5),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,7,1,6,2,3] => ([(0,1),(0,2),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,7,5,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,8,6,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,3,6,1,8] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,3,7,5,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,7,3,6,5,1,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,3,1,5,8,7] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,1,6,4,8,7] => ([(0,1),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,7,6,4,1,8] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,7,4,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,6,3,5,1,8] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,3,6,4,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,5,4,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,3,8,4,6] => ([(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,1,3,7,5,4,8,6] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,6,5,4,7] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,1,8,6,4,7] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7)],8)
[4,2,8,3,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,2,6,4,1,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,1,4,5,7] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,3,8,7,4,5] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,8,3,6,4,7,5] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,3,4,8,5] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,6,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,4,8,6,5] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,7,6,3,8,4,5] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,4,8,7,5] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,7,6,4,8,5] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,3,1,8,5,4,7] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[2,1,3,8,5,4,7,6] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,8,4,2,3,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,4,3,5,7,6] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,6,3,1,8,5,7] => ([(0,3),(1,3),(1,4),(2,5),(2,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,3,1,6,7] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,8,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,8,3,1,6,7] => ([(0,7),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,2,7,3,6,4,8,5] => ([(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,3,7,4,5] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,8,6,4,5] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,4,7,6,5] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,4,8,6,5] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,6,3,8,4,7,5] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,8,7,4,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6)],8)
[4,2,1,8,3,7,5,6] => ([(0,1),(0,5),(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,3,2,1,7,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,4,2,7,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,3,4,7,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,8,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,8,7,4,6,5] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,7,6,4,5] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,1,6,4,7] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,4,7,1,5,3,8] => ([(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,5,7,1,4,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,8,5,7,1,2,6,4] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,2,6,4,1] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,2,5,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,1,4,8,6,3] => ([(0,5),(1,4),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,8,1,5,7,6,3] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,3,8,1,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,1,7,5,6,4,3] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,6,5,7,4] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,1,3,5,7,6] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,7,6,1,2,4,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,6,2,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,6,7,2,3,5,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,7,1,2,3,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,6,7,1,3,5,2] => ([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,1,5,7,2] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,5,7,1,6,4,2] => ([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,6,1,7,4] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,7,2,1,6,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,2,1,5,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,6,2,1,4,8] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,7,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,6,7,3,5,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,2,1,3,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,6,7,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,6,7,2,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,1,7,5,2,8,6] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,5,1,7,6] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,8,5,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,6,7,1,5,3,2] => ([(0,1),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,1,4,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,2,4,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,1,2,4,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,3,8,5,1,6,7] => ([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,8,5,1,7,6,3] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,2,8,5,6,1,7] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,8,6,1,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,5,7,6,1,4,8] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,6,7,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,6,7,1,2,5,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,7,2,5,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,5,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,5,1,2,6,7] => ([(0,7),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,7,5,1,3,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,8,5,7,1,4,2,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,1,5,2,6] => ([(0,5),(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,4,6,1,7] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,1,7,4,6,2,8] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,2,5,1,6] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,5,2,6,7] => ([(0,6),(1,6),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,2,6,7,5,3,8] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,7,5,3,8,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,7,3,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,7,3,1,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,7,6,2,4,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,7,5,6,2,8] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,5,2,8,6,3] => ([(0,5),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,7,5,2,3,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,6,7,2,3,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,3,2,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,4,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,4,1,3,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,3,1,4,2] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,6,7,3,1,5,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,6,7,5,3,8,2] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,5,3,2,8,6] => ([(0,4),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,8,5,3,1,7,6] => ([(0,1),(0,6),(1,6),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,7,5,3,8] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,6,7,3,2,1,5] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,4,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,1,4,2,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,6,7,2,4] => ([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,1,4,7,8,5,2] => ([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,7,5,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,3,5,7,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,1,6,5,4,2,7] => ([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,3,8,4,2,5] => ([(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,7,6,5,8,4,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,8,2,5,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,7,8,4,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,8,1,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,7,3,6,4,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,7,4,1,6,8,3,5] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,6,4,5,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,6,8,1,7] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,7,5,8,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,5,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,5,1,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,2,7,6,1,3] => ([(0,1),(0,2),(0,5),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,2,6,3,4,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,7,5,8,6,2,3] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,8,4,3,6,2] => ([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,5,7,8,2,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,8,7,1,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,2,7,4,3,8,6] => ([(1,7),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,5,6,4,3,1,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,4,3,2,7] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,8,4,7,3] => ([(0,7),(1,4),(1,7),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,5,7,2,3] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,2,8,5,6,3] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,7,2,8,5,6,3] => ([(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,8,6,2,4] => ([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,6,1,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,8,1,5,7,2,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,6,5,8,1,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,5,7,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,5,8,6,3,4] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,5,8,6,3,4] => ([(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,6,8,2,3,5,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,6,8,1,2,3,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,7,1,5,8,6,3,4] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,1,8,5,6,3] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,5,8,3,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,2,1,8,5,6,3] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,2,1,3,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,2,7,6,8,3,5,4] => ([(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,2,1,5,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,6,8,5,3] => ([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,1,8,5,3,2] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,1,8,5,2] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,4,1,6,8,5,3] => ([(0,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,7,6,8,1,5,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,4,2,6,8,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,2,5,8,6,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,6,8,2,5,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,7,6,8,1,2,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,6,8,2,5,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,7,4,2,6,8,5,3] => ([(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,6,8,5,3] => ([(0,5),(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,8,5,6,3] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,5,4,6,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,6,1,5,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,2,8,1,6,4,5,3] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,8,5,4,2,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,8,5,4,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,6,8,5,4,3] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,3,2,5,4] => ([(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,3,1,2,5,4] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,1,5,8,6,3,2,4] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,8,6,3,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,8,5,4,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,8,5,4,1,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,2,3,1,5,4] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,7,6,8,3,1,5,4] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,6,8,5,4,3] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,1,8,5,4,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,1,8,5,4,3,2] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,6,8,5,4,3] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,3,2,1,5,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,7,8,5,6,1,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,6,5,8,7,1,3,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,6,4,8,1,2,7,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,5,6,7,2,4,3] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,8,2,7,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,1,2,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,3,6,7,2,1,5,8] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,1,4,2,8] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,4,6,7,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,7,4,5,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,6,8,4,5,3] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,1,4,8,3] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,2,6,7,3,1,8,5] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,2,4,1,5,8,7,3] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,4,8,6,3] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,3,7,2,6] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,4,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,1,5,8,2,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,7,1,6,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,1,4,2,7] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,4,5,6,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,2,4,5,8,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,2,3,1,6,5] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,8,1,4,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,5,2,1,3,7,8,4] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,2,6,8,4] => ([(0,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,2,5,7,4] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,5,2,8,6] => ([(0,3),(1,6),(1,7),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,1,6,8,7] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,5,6,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,5,6,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,1,5,7,8,4] => ([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,4,2,1,6,5,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,1,5,6,3] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,4,8,7,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,3,4,7,8,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,3,4,6,2,1,5] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,4,2,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,5,6,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,8,7,5,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,7,8,5,1,4] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,6,3,8,1,7,4] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,2,5,8,7,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,8,4,7,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,8,7,5,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,7,8,5,1,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,4,1,7,3,5,8] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,4,8,1,5] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,5,7,8,1,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,2,3,6,1,8,4] => ([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,2,3,6,1,7,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,5,8,3,2,1,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,8,3,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,5,3,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,2,3,7,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,4,3,7,1,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,1,4,2,3,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,3,4,1,7,6] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,8,6,3,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,8,3,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,4,5,8,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,4,3,6,2,8,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,3,7,2,8,6] => ([(0,6),(1,3),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,3,8,2,7,6] => ([(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,2,4,1,7,8,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,2,4,1,8,7,3] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,2,4,1,8,6,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,1,4,2,8,7,5,3] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,7,8,5,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,1,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,7,4,1,6,8,3] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,1,3,7,2,6,8] => ([(1,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,3,6,2,7,8] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,4,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,4,2,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,6,3,4,2,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,5,3,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,6,3,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,8,3,2,1,6] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,3,2,1,6] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,7,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,3,2,1,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,8,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,5,3,2,1,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,3,4,2,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,4,2,3,6,7] => ([(0,7),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,7,4,2,3,6,8] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,3,4,2,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,5,3,2,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,6,3,2,1,5] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,3,7,5,1] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,6,2,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,8,7,2,5,1,6] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,7,1,6,2] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,1,2,4,3,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,1,3,4,2,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,3,8,2,7,5,6,1] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,2,6,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,3,2,8,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[4,1,3,8,2,6,5,7] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,1,8,3,7,5,6,2] => ([(0,4),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,1,5,4,2,6] => ([(0,6),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,1,5,4,6,2] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,8,1,6,2,5,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,8,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[3,6,7,8,4,1,2,5] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,8,5,3,2,6] => ([(0,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,4,2,1,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,2,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[4,3,7,8,5,2,1,6] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,7,3,1,5] => ([(0,7),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,8,4,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,3,5,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,8,1,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,8,3,6,1,5,7] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,8,5,2,6,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,2,4,8,6,5,7] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,4,8,6,5,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,1,4,8,2,6,5,7] => ([(0,7),(1,6),(2,3),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,7,4,8,5,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,8,3,5,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,3,4,8,6,5,7] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,8,6,5,7] => ([(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,2,1,5,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,2,6,1,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,5,8,2,4,1,7] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,7,3,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,7,3,8,1,6] => ([(0,7),(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,2,4,5,8,3,1,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,5,6,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,1,3,5,2,6,4,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,1,6,3,8,4,7] => ([(0,5),(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[6,2,5,1,8,4,3,7] => ([(0,3),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,8,4,2,7] => ([(0,4),(1,2),(1,7),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,8,3,2,7] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,4,8,1,3,2,7] => ([(0,4),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,8,2,1,7] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,2,8,1,6] => ([(0,1),(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,7,2,6,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,7,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,2,8,1,5] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,2,7,8,5] => ([(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[1,5,4,3,7,2,8,6] => ([(1,3),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,5,3,1,2,6] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,4,1,2,8,6] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,7,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,1,6,7,5,2] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,6,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,8,6,7,4,1,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,6,4,7,5,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,4,1,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,1,4,3,8,5] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,3,4,2,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,2,6,8,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,6,7,3,2,5,8,4] => ([(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,8,5,7,4,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,3,6,7,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,3,1,6,8,4] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,7,2,3,8,5] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,7,5,2,8,4,6] => ([(0,3),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,1,8,3,6] => ([(0,7),(1,2),(1,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,1,7,8,3,5] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
[4,2,7,6,3,8,1,5] => ([(0,2),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,2,3,5,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,8,7,4,5,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,4,1,6,8,5] => ([(0,5),(1,2),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,1,7,8,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,1,8,4,2,5,6] => ([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,1,3,7,5,8,6] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[8,1,3,7,4,2,6,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,7,6,2,1,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,7,6,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,8,7,1,5,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,2,8,1,6,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,7,2,6,5,4,1] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,8,6,1,5,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,4,7,1,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,1,8,7,3,6,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,2,1,6,3,7,5,4] => ([(0,1),(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,1,7,5,2,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,6,7,2,4,3] => ([(0,4),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,8,1,5,7,4,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,2,6,1,4,3] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,2,5,6,4,3,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,8,1,5,4,3] => ([(0,2),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,8,5,6,4,3] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,6,2,5,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,8,2,6,5,4] => ([(0,1),(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,3,8,6,5,4] => ([(0,4),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,6,5,4,3] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,6,5,3,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,1,4,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,2,1,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,2,1,8,5] => ([(0,1),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,2,1,6,8] => ([(1,4),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,2,1,4,8] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,2,1,4,7] => ([(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,8,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,2,1,4,8] => ([(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,2,1,4,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,6,1,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,2,5,1,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,6,1,4,7] => ([(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,3,2,5,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,5,1,8,6] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,2,5,1,4,6] => ([(0,6),(0,7),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,5,1,3,8] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,5,1,4,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,2,6,7,1,4,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,2,6,5,1,4,7] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,5,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,6,8,1,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[4,2,7,6,5,1,3,8] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,7,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,1,7,8,2] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,1,5,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,1,8,6,2] => ([(0,1),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,1,5,8,2] => ([(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,3,6,1,8,7,2] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,8,1,4,5,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,7,6,1,4,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,3,7,6,1,5,8,2] => ([(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,7,6,1,4,5,2] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,1,7,3,8] => ([(1,4),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,1,5,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,8,7,2,1,5,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,1,4,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,1,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,2,1,4,8,6] => ([(0,2),(1,6),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,2,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,1,4,3,8] => ([(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,6,1,4,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,4,2,7,1,5,3,8] => ([(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,1,8,3,7] => ([(0,2),(1,6),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,6,1,5,8,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,1,4,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[4,2,7,6,1,5,3,8] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,6,1,4,5,8] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,8,7,3,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,6,7,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,5,8,3,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,1,6,8,3,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,1,5,6,3,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,1,6,8,7,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,1,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,7,1,5,4,6,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,6,4,3,7] => ([(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,2,1,5,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,6,4,8,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,5,4,6,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,7,1,5,4,3,8] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,1,6,4,3,8] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,1,5,6,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[3,2,7,1,5,4,6,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,8,7,1,5,4,3,6] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,8,4,3,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,7,4,3,2] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,7,5,8,3,2] => ([(0,6),(0,7),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,5,7,3,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,7,5,4,8,2] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,6,7,4,8,2] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,6,5,7,8,2] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,1,6,5,4,7,2] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,6,7,4,3,8] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,5,7,3,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,8,1,6,5,4,3,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,5,4,3,2] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,6,5,8,3,2] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,6,5,4,8,2] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,2,6,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,5,7,2,6,3,8] => ([(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,3,5,6,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,7,2,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,1,7,2,4,5] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,5,6,8,1,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,5,8,2,6,7,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,3,5,6,7,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,5,4,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,1,3,5,4,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,3,5,6,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,5,7,8,1,6,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,1,7,6,3,2] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,2,1,6,3] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,7,3,5,6,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,3,5,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,7,2,1,5,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,7,5,3,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,1,8,5,2] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,7,8,1,5,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,6,8,1,2,5,4,7] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,7,2,5,4,8] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,1,8,5,2,3,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,1,4,2,8,3,6,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,5,3,6,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,5,4,2,3,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,6,5,4,3,8] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,2,5,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,3,2,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,6,3,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,1,7,5,4,2] => ([(0,1),(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,7,5,4,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,6,3,1,5,4] => ([(0,6),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,1,6,5,4,3] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,8,6,5,4,2] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,6,5,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,2,1,5,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,3,7,4,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,5,2,7,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,7,4,2,6,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,5,4,3,8,6] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,3,6,5,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,8,5,7,3,6] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,1,6,2,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,5,2,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,2,6,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,7,6,2,1,4] => ([(0,1),(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,8,5,1,7] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,2,4,7,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,7,6,4,3] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,2,4,1,7,5,6] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,1,5,4,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,1,4,6,5,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,1,4,3,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,8,3,6,2,4] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,1,4,5,3,2,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,1,4,7,3,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,6,1,7,4,2] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,5,1,4,2] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,3,6,1,8,5] => ([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,7,2,8,1,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,8,1,6,7] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,4,7,1,6,5,2] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,4,6,1,5,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,4,5,6,8,1,7] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,1,4,2,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,7,8,4,6,2,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,5,7,8,6,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,8,6,1,2,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,5,1,6,8,2,7,4] => ([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,6,8,2,7,4] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7)],8)
[2,3,5,6,8,1,7,4] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[5,6,4,8,2,1,7,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,1,6,3,8,4,7,2] => ([(0,6),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,8,3,7,4] => ([(0,3),(1,4),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,6,8,3,7,4] => ([(0,6),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,7,1,8,6,2,3,4] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,5,2,7,8,6,3,4] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,7,5,2,8,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,5,2,8,3,4] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,5,1,8,3,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,2,8,6,1,3,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,6,2,1,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,7,8,6,3,4,2] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,7,8,6,4,2] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,8,4,6,1,3] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,5,7,8,6,1,4] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,7,5,1,8,3,4] => ([(0,3),(0,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,7,5,8,3,4] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,5,4,1,8,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,5,2,4,1,8,3] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,5,3,8,1,4] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,5,2,1,8,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,7,8,6,4,3,2] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,8,6,3,1,4] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,7,8,6,3,2,4] => ([(0,4),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,1,8,2,4] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,7,5,3,8,2,4] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,7,5,4,2,8,3] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,1,4,2,8,3] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,6,5,8,3] => ([(0,5),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,1,5,6,8,3] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,4,1,5,2,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,4,5,2,8,3] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,3,7,5,8,2,4] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,7,5,8,2,4] => ([(0,4),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,3,7,8,6,1,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,5,4,2,1,8,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,5,8,1,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,4,2,5,1,8,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,7,4,5,1,8,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,3,7,5,8,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,6,1,3,8,5,4] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,8,2,6,4] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,8,2,4,6] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,5,1,8,6,2,4] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,7,4,1,8,3,5] => ([(0,7),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,1,8,4,7,2] => ([(0,2),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,1,8,4,2,7] => ([(0,3),(1,2),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,4,8,1,6,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,5,8,7,3,2] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,2,8,4,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,8,1,6,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,5,4,3,2,7,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,3,7,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,4,3,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,6,2,1,5,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,1,8,4,7] => ([(0,2),(1,6),(1,7),(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,6,8,4,1,7] => ([(0,5),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,8,4,1,6] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,8,4,6,1] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,7,3,8,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,6,8,3,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,5,6,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,6,1,8,4,3,7] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[5,3,6,8,1,4,2,7] => ([(0,6),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,6,8,1,3,2,7] => ([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,4,5,6,8,3,2,7] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,8,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,2,8,6,1] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,2,8,5,1] => ([(0,3),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,7,3,2,8,5] => ([(0,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,4,5,3,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,3,8,4,2,6] => ([(0,6),(1,3),(1,5),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,1,7,4,3,8,6] => ([(0,3),(1,2),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,4,1,8,6,3] => ([(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,1,4,8,6,2] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,1,7,8,5,2] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,7,3,8,5,2] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,3,7,8,4,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,3,7,8,4,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,8,3,4,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,3,7,4,8,5,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,4,1,8,5,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,1,4,3,8,5] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,1,2,8,5] => ([(0,1),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,3,1,2,7,8,4] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,1,3,2,7,8,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,3,2,1,7,8,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,6,3,7,8,4,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,3,1,7,8,4] => ([(0,6),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,6,4,7,3,1,8,5] => ([(0,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,7,2,8,4,5,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,8,4,1,5] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,2,7,1,8,4,5] => ([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,3,2,1,8,4,6] => ([(0,1),(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,4,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,1,3,8,6,5] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(5,6),(5,7),(6,7)],8)
[1,3,7,8,6,4,2,5] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,4,6,2,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,3,8,2,1,6,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,7,8,5,2,1,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,8,5,3,1] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,7,8,5,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[7,4,5,8,1,2,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,1,7,3,8,6,4] => ([(0,3),(1,5),(1,7),(2,4),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,1,3,8,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,7,8,2,4,3] => ([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,3,7,1,8,5,2,4] => ([(0,2),(0,5),(0,6),(1,3),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,7,3,8,5,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,7,1,8,5,4,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,7,8,5,4,2] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,6,8,2,5,7] => ([(0,5),(1,6),(2,3),(2,7),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,3,6,8,1,5,7] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,2,1,8,4,7,6] => ([(0,6),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[3,6,5,8,2,1,7,4] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,2,1,3,8,7,6] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,5,8,1,7] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,6,5,8,1,3,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,4,5,8,3,7] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,2,1,6,8,4,7] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,4,5,8,1,3,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,4,6,5,8,2,7] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,4,5,8,2,7] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,1,8,5,2,7,6] => ([(0,3),(0,4),(1,2),(1,6),(2,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,7,6,3,5] => ([(0,3),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,7,3,6,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,3,2,8,7,4,6] => ([(1,5),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,2,1,7,5,3,4,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,4,5,8,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,1,2,6,3] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,6,2,1,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,8,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,3,5,6,8,7,2] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,8,6,7,1,3,5] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,6,2,8,1,7,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[3,7,4,8,2,1,6,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,8,6,7,1,4] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,6,8,7,1,4] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,5,6,7,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,7,1,8,6,5] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(6,7)],8)
[3,2,6,4,8,1,7,5] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,1,6,7,3,4,5] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,5,4,1,3,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,5,3,8,4,2,6] => ([(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,3,1,2,8,6] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,8,5,3,1,6] => ([(0,6),(0,7),(1,3),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,1,2,7,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,4,1,8,6] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,3,7,1,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,1,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,6,7,1,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,3,6,7,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,6,1,8,4] => ([(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,3,2,5,8,7,4] => ([(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,3,2,1,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,8,7,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,4,1,6,3] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,4,2,8,7,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,3,7,1,6,2,8,4] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,6,8,7,1,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,3,2,1,8,5,7,4] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,5,4,1,8,6,3] => ([(0,5),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,5,6,8,7,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,4,2,5,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,5,6,7,1,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,4,7,1,8,6,3] => ([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[5,3,4,7,1,8,6,2] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[8,6,4,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,5,2,4,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,6,5,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,2,1,8,7,4] => ([(0,5),(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,3,2,4,6,5,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,6,5,3,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,6,5,3,7] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,1,5,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,4,1,5,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,4,5,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,8,5,7,2,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,7,6,2,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,4,7,5,8,2,6] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,5,2,4,8,7,6] => ([(1,7),(2,6),(3,4),(3,5),(4,5),(6,7)],8)
[2,6,5,1,3,8,7,4] => ([(0,4),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,5,8,3,2] => ([(0,6),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,6,3,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,5,1,4,7,6,3] => ([(0,4),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,8,6,7,2] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,5,8,6,7,2] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,3,8,4,7,1,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,1,6,8,7,3] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,4,3,2,7,1,5] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,7,8,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,2,8,6,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[5,3,1,2,8,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[5,2,3,1,6,8,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[5,3,2,1,8,6,7,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[5,2,1,3,6,8,7,4] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,7,3,8,1,6,5] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,2,7,4,1,5] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,2,1,3,6,4,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,8,4,2,6] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,5,8,3,1,6] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,7,2,6,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,8,3,6,2,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,7,2,1,5] => ([(0,3),(0,4),(0,5),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,7,4,1,2,5] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,7,2,4,8,1,6] => ([(0,1),(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,3,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,2,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,2,1,3,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,3,2,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,3,1,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,6,1,8,4] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,1,3,8,5,7,2,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,3,2,6,7,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,3,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,5,4,7,6,3] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,4,6,2,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,6,4,5,8,3] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,6,5,8,3] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,6,8,2,4] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,6,1,3,7,4] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,5,8,7,2,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,8,4,1,6,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,1,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,5,2,6,8,7,3] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,4,5,1,6,8,7,2] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,5,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,8,5,2,6,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,1,8,5,4,6,3] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,6,2,1,3,7,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,2,4,1,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,8,1,7,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,3,5,4,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,5,1,8,6,7,2] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,8,1,4,5,6,7,2] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,7,8,2,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,6,2,8,5,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,6,8,1,5,2,7] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,4,7,2,1,8,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,2,7,8,4,6,1] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,6,2,8,4,1,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,6,8,4,1,2,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,2,4,8,6,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,8,4,6,1] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,4,1,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,1,8,5,4,7] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[3,6,7,2,8,5,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,4,5,1,7] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,1,4,8,6,5] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,4,5,6,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,2,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,5,6,7,8,3,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,7,8,5,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,3,8,5,2,7] => ([(0,6),(1,5),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,7,3,8,5,2] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,7,3,2,8,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[4,1,8,3,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,2,6,8,1,3,7] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,3,8,1,6,2] => ([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,8,3,2,1,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,8,5,1,3] => ([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,7,3,2,8,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,3,5,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,2,5,6,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,3,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,2,6,8,4,3,7] => ([(0,5),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,7,4,8,2,3] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,3,8,4,1,7] => ([(0,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,8,4,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,3,4,2,1,7] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,3,4,8,6,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,3,4,2,6,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,3,4,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,2,3,7,8,5,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,2,3,8,5,4,7] => ([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,2,7,8,5,4,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,3,8,5,4,2] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,4,5,3,2] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,3,4,5,2,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,3,8,5,4,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,8,4,5,3,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,4,8,6,5] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,2,8,4,5,6,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,8,3,4,5,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,1,8,2,3,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[5,8,1,2,4,3,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,7,2,6,4,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,6,1,2,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,8,2,4,7,5] => ([(0,3),(1,4),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,8,1,5,7,4] => ([(0,6),(0,7),(1,3),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,1,3,8,4,7,5] => ([(0,4),(1,7),(2,5),(2,7),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,1,3,8,4,6] => ([(0,5),(1,3),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,4,6,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,3,7,6,4,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,1,3,7,4,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,5,3,1,6,4] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,4,7,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,2,4,8,1,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,3,1,6,4] => ([(0,4),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,6,3,2,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,1,5,3,2,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,1,2,4,8,3,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,4,2,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,2,5,6,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,2,6,4,5] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,6,5,1,8,4] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,4,2,5,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,4,5,6,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,6,5,1,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,3,4,5,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,5,4,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,4,6,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,2,8,5,1,7,4] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,4,7,2,5,6,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,3,1,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,4,1,3,7,2] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,5,3,7,2] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,5,2,7,4] => ([(0,4),(0,5),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,1,2,8,6,7,5] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,4,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,5,8,3,6,1,4] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,6,3,4,2,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,8,5,3,1,4] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,5,2,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,4,8,3,1,5] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,2,6,3,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,3,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,4,1,7,6,3] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,6,3,4,7,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,6,3,2,5,8,4,7] => ([(1,5),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,2,1,5,4,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,5,8,4,2] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,8,4,3,7,6] => ([(0,3),(1,2),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,5,4,8,1,3,7] => ([(0,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,1,6,5,8,2,7] => ([(0,4),(1,2),(1,7),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,4,6,8,2,7] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,4,5,8,2,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,4,1,5,2,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,2,6,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,1,7,3,5] => ([(0,5),(0,7),(1,2),(1,4),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,4,5,2,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,5,1,8,4,3,6] => ([(0,2),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,2,5,4,8,6] => ([(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,2,1,5,3,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,8,7,4,2] => ([(0,1),(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,4,5,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,8,1,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,4,7,2,3,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,1,3,5,7,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,6,2,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,5,7,8,6,2] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,1,8,4,7,3,2] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,4,7,6,2] => ([(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,7,4,6,1,3,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,8,1,6,5] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,7,2,8,5] => ([(0,5),(1,5),(1,6),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,6,1,5,2,4] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,6,8,2,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,3,8,5,6,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,1,5,7,3,4] => ([(0,2),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,4,3,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,4,2,7,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,3,7,4,2,6,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,4,1,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,3,4,7,1,5,6] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,6,7,8,2,5] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[1,7,6,3,2,5,8,4] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,6,2,7,4] => ([(0,1),(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,5,6,1,7,4,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,8,6,4,3] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,8,7,2,1,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,8,6,4,5,2,7,3] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,3,6,2,7,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,2,1,7,5,8,4] => ([(0,7),(1,3),(1,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,4,1,8,7,6,3] => ([(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,6,5,8,1,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,4,2,7,3,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,7,1,8,2,5] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[3,4,7,8,2,5,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,4,5,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,1,6,8,7,3] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,5,7,6,1,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,6,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,1,7,6,8,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,6,5,7,8,2] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,3,5,6,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,5,8,6,4] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,5,8,3,7,6] => ([(1,7),(2,5),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[4,1,2,6,8,5,3,7] => ([(0,4),(1,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,8,7,6,3] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,6,4,8,7,5,3] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,4,8,6,5,3] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,5,8,4,6] => ([(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,2,8,5,7,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,8,7,3,6] => ([(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,6,4,8,7,3,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,7,8,5,6,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,2,6,7,4,5] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,8,2,5,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,7,8,2,3,6,4] => ([(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,7,8,4,6,3] => ([(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,2,4,8,7,5] => ([(1,7),(2,5),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[1,6,7,3,4,8,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,7,4,8,6,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,1,5,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,2,7,6,5] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,7,4,8,3,6,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,6,4,8,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,2,4,8,3,7,6] => ([(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,3,5,2,7,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,8,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,8,5,3,7,4] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,7,8,6,3,5,4] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,8,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,7,8,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,7,6,8,2,3,5] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,8,6,5,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,3,4,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,7,6,3,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,7,8,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,1,4,8,7,3] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,1,4,5,8,7,3] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,2,7,6,3,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,6,4,5,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,7,5,8,3,4] => ([(0,2),(1,6),(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,7,4,8,5,3] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,7,8,4,3,6] => ([(0,7),(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,1,7,4,8,3,5] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,4,1,7,8,2,5] => ([(0,4),(0,7),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,6,1,3,8,7,2] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,5,8,7,2] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,1,5,4,8,7,3] => ([(0,3),(1,2),(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,7,8,5,3] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,2,4,8,6,7,3] => ([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,2,4,8,7,3,6] => ([(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,2,4,8,7,6,3] => ([(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,8,5,4,7,6] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,1,2,8,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[2,1,5,3,8,6,4,7] => ([(0,1),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,6,5,4,7] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,5,4,8,3,7] => ([(0,3),(1,2),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,4,8,6,3,7] => ([(0,6),(1,6),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,2,4,8,3,7,6] => ([(0,7),(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,3,1,4,8,2,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,4,3,1,8,6,7] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,4,5,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,5,4,1,8,7,2] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,1,7,8,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,6,2,8,7,3,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,3,7,8,6,4,5] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,3,7,8,5,6,4] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,4,1,7,8,6,3] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,1,2,8,6,7,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[5,1,4,2,8,6,7,3] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,6,8,5,7,4] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,6,7,4,5] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,3,8,7,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,7,4,5,6] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,5,7,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,6,8,7,4,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,2,8,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,2,8,7,5,4] => ([(0,2),(1,2),(1,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,6,4,2,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,6,5,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,6,5,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,6,5,4,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,6,4,3,1] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,6,5,3,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,6,5,4,2] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,6,5,4,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,3,4,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,5,2,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,5,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,5,1,4,2] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,5,2,4,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,3,2,5,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,4,2,5,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,2,5,3,6,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,2,5,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,4,3,6,2,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,4,3,7,2,6] => ([(0,5),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,2,5,1,4,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,5,3,7,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,2,5,4,7,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,4,7,6,8,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,7,6,8,1,4] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,4,3,7,6,8] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,3,7,5,8] => ([(1,6),(2,5),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,5,8,1,4,3,7] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,1,5,3,7,4,8] => ([(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,4,8,1,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,4,7,5,8,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,6,4,7,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,2,6,4,7,1,3] => ([(0,4),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,2,6,3,7,1,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,3,7,2,6] => ([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,1,5,2,6,3,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,3,7,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,8,1,3,2,6,4,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,7,1,3,2,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,7,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[6,8,5,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[5,7,6,8,2,4,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[4,7,6,8,1,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,8,1,3,2,6] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,1,3,2,6,5,8] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,1,4,2,6,5,8] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,5,8,1,4,2,6] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,7,6,8,1,4,2,5] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,6,8,2,5,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,8,2,5,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[4,7,5,8,3,6,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,5,8,2,6,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,7,5,8,2,6,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,2,6,1,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,1,5,2,6] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,7,1,5,2,6,4,8] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,1,5,4,8] => ([(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,5,8,1,4] => ([(0,5),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,3,6,5,8,1,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,8,4,7,1,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,8,4,7,1,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,8,3,7,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,3,7,1,5,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,6,4,2,8,5,3,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,8,2,5,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,8,5,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,3,7,2,1,5] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,4,3,5,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,3,5,4,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,5,2,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,3,5,2,4,1] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,5,8,2,4,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,5,2,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,5,1,8,3] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,4,1,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,2,4,1,5] => ([(0,3),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,8,2,5,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,4,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,5,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,6,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,7,2,1,4] => ([(0,1),(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,8,7,2,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,7,2,1,5] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,1,7,5,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,4,1,5,3,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,4,7,5,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,8,2,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,6,8,3,7,2,1,4] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,3,4,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,8,3,5,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,5,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,7,8,2,1,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,4,8,2,6,1,7] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,2,5,7,1] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,7,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,5,6,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,6,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,7,2,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,5,6,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,8,2,7,6,1] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,4,1,7,6] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,4,1,7,3,6] => ([(0,5),(0,6),(1,2),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,4,2,5,1,8,7,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,5,8,2,1,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,7,2,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,2,6,4,1] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,8,2,1,6] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,3,1,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,3,1,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,8,2,1,7] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,5,3,7,2,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,5,7,2,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,5,3,1,7] => ([(0,4),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,3,1,8,5] => ([(0,3),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,8,5,2,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,2,3,1,6,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,1,8,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,3,4,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,4,8,2,1,7] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,4,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,5,1,7,3,8] => ([(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,2,4,1,6,8] => ([(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,4,7,2,6,1,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,2,5,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,8,2,5,1] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,5,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,8,3,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,7,2,6,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,6,8,2,1,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,8,2,1,4,7] => ([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,1,8,2,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7)],8)
[5,3,4,6,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,5,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,8,3,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,6,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,2,8,4,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,5,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,4,6,5,7] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,6,4,8,5] => ([(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,2,5,3,7,4] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,5,3,4,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,6,4,7,5] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,2,8,4,7,6] => ([(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[1,2,7,3,5,4,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,3,7,4,6] => ([(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,8,2,3,5,4,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,1,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,8,4,2,3,6] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,5,7,4,2,3,6] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,5,8,2,3,6] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,1,6,2,8,3,5] => ([(0,3),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,2,6,3,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,7,5,2,3,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,7,2,3,6] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,8,3,4,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,4,8,2,3,6] => ([(0,7),(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,4,8,5,2,3,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,7,2,3,8,5] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,3,1,2,4,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,6,4,2,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,4,2,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,8,4,2,3,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,3,8,1,2,4,6,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,1,2,4,6,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,2,4,7,5] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,1,2,4,8,5] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,4,2,3,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,8,1,7,4,2,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,1,8,5,4,2,3,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,4,5,2,3,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,8,5,3,4,6] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,1,2,4,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,8,7,5,4] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,1,4,2,3,7,5] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,1,2,7,4,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,1,2,8,4,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,4,2,3,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,8,5,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,8,7,4,2,5] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,5,7,3,4,6] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,5,8,3,4,7] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,6,8,4,3,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,5,7,3,6] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,6,2,5,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,4,7,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,4,7,2,5,6] => ([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,4,6,2,5,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,4,8,5,1,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,6,5,4,8,2] => ([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,1,5,8,4,6] => ([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[2,7,4,6,8,1,3,5] => ([(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,5,8,6,4,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,6,7,5,4,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,1,6,4,5,2] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,7,4,1,5] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,7,4,6,3] => ([(1,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,7,8,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,1,3,7,5,6,8,2] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,8,1,7,4,2,5] => ([(0,1),(0,5),(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,8,7,1,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,7,3,8,5,2,6] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,1,4,5,8,2,7] => ([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,4,5,3,8,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,3,5,4,8,2] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,1,2,5,8,4,7] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,2,4,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[6,8,5,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[2,8,4,1,7,5,6,3] => ([(0,4),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,7,5,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,1,5,7,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,4,1,6,3,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,4,8,6,5,3,7] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,6,8,4,3,2] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,1,4,6,3,5] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,5,7,1,6,3] => ([(0,1),(0,5),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,8,5,3,7,2] => ([(0,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,8,3,1,7] => ([(0,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,3,4,5,8,2] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,2,4,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,6,5,2,8,4,7] => ([(1,7),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,5,3,4,8,2] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,2,8,7,5,1] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,5,2,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,4,2,3,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,5,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,5,4,2,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,6,1,2,4,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,3,4,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,3,6,8,7,4,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,5,2,6,1] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,2,6,4,5,1] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,6,1,5,2,7] => ([(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,2,5,3,8,1] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,8,1,4,3] => ([(0,4),(0,5),(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,2,7,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,3,6,2,4,7] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,2,4,3,8,6] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,4,8,6,2,7] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,1,3,8,6,2,7] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,6,3,4,2,7] => ([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,2,8,3,7,6,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,6,4,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,7,6,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,3,4,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,5,6,4,8,1,3] => ([(0,6),(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,4,8,2,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,5,8,2,6,4] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,3,5,6,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,7,5,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,2,6,7,5] => ([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[2,8,3,6,7,5,4,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,8,5,4,6] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,1,4,7,2,8,5] => ([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,8,4,7,2,3,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,6,2,8,4,5] => ([(0,7),(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,4,5,8,1,3] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,8,4,5,7,3,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,5,4,3,6,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,5,3,8,6] => ([(0,6),(1,3),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,8,6,2,3,1,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,1,4,6,3,8,5] => ([(0,6),(1,3),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,5,6,8,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,1,3,2,8,5,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,5,4,1,3,6,7] => ([(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,2,3,8,6] => ([(0,7),(1,2),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,5,1,4,2,7] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,8,6,5,2,7] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,5,3,2,7] => ([(0,7),(1,2),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,2,7,3,6,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,3,6,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,4,3,7,6,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,5,2,3,6,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,8,4,6,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,4,3,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,1,2,8,3,4] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,8,3,4,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,2,4,5,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,4,7,2,5,1] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,4,2,5,1] => ([(0,2),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,8,4,7,5,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,6,5,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,5,8,3,1,4] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,6,4,5,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,8,3,7,4] => ([(0,1),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,1,2,6,4,7,3] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,8,3,2,7,4,5] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,7,2,8,4,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,1,2,8,4,6,3] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,3,6,2,7,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,8,2,7,3,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,4,8,2,1] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,4,8,2,7,3] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,1,5,6,4,8,7,2] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,1,6,4,7,8,2] => ([(0,7),(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,2,7,8,5] => ([(0,6),(1,6),(2,3),(2,7),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,6,4,3,8,5,7] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,2,6,3,5,8,7,4] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,8,4,7,6] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6)],8)
[2,3,6,1,8,5,4,7] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6)],8)
[3,1,7,5,4,8,6,2] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,4,8,5,3] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,6,8,5,4] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,1,8,5,7,4] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[1,2,5,8,4,7,3,6] => ([(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,8,5,4,3,7] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,2,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,4,6,8,3,2,5,7] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,7,5,6,8,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,7,3,8,5,4] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,7,6,8,4,2] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,6,8,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,8,7,1,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,5,6,8,4,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,7,5,8,4,2] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,5,8,3,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,4,8,2,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,6,8,3,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,6,8,3,5,7,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,2,7,4,6] => ([(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,5,8,4,7,6,3] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,8,7,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,7,2,4,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,2,8,6,4,3] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,5,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,3,4,7,2,8,1,6] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,4,6,8,1,5] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,6,2,7,1,4,8] => ([(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,3,4,7,1,5,8] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,4,5,8,1,6] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,5,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,3,6,8,1,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,6,2,3,8,1,5] => ([(0,2),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,4,8,1,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,4,5,8,1,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,2,3,4,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,8,4,7,6] => ([(0,1),(0,5),(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,5,2,3,7,1,4,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,1,7,3,4,6,8] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,8,3,4,6,7] => ([(0,7),(1,7),(2,3),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,8,4,5,7,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,1,2,8,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[6,4,1,3,8,5,7,2] => ([(0,4),(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,1,8,4,7,5] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[8,3,5,2,7,1,4,6] => ([(0,5),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,7,1,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,3,6,1,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,3,4,5,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,7,2,4,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,3,4,5,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,4,5,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,3,4,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,4,5,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,2,4,5,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,7,2,3,6,4] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,8,2,3,6,4] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,1,8,3,4,5,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,2,4,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,8,3,4,5,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,3,4,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,5,8,3,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,1,8,3,6,4] => ([(0,5),(1,2),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,1,8,4,5,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,3,8,5,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,8,4,5,7,3] => ([(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,3,6,8,2,7,5] => ([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)
[5,3,4,6,8,2,7,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,7,1,2,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,8,7,1,2,3] => ([(0,1),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,4,8,7,1,2,6] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,7,1,4,6,5] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,2,4,6,5] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,1,2,4,8] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,3,7,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,2,4,5,6] => ([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,8,2,3,5,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,8,2,6,1,3,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,7,1,4,5,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,8,7,1,4,5,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,6,1,3,4,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,3,4,5,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,3,4,5,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,2,4,5,6,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,2,3,6,4] => ([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,3,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,2,5,1,8,6] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,7,4,2,5] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,8,1,2,6,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,6,8,7,1,2,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,2,4,8,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,6,5,8,7,2] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,1,2,4,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,5,2,1,4,6,8] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,2,7,4,1,6] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,4,7,3,1,6] => ([(0,3),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,4,1,3,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,1,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,6,2,8,7,5] => ([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8)
[1,4,6,5,2,8,7,3] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,5,6,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,8,7,2,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,2,6,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,2,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,2,3,6,5] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,3,4,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,7,4,2,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,8,7,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,8,5,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,8,1,6,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,8,6,3,7,2,5] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,7,5,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,3,5,8,6,2,7] => ([(0,7),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,3,8,1,2,6] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,8,3,7,6,5,2] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,4,2,7,1,5,6] => ([(0,5),(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,5,7,6,4,8] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,8,2,7,6,5,4,3] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,7,5,4,2] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,8,5,1,4] => ([(0,2),(0,7),(1,3),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,8,5,6,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,5,6,4,3] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,5,7,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,6,1,5,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,5,4,3,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,5,3,2,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,3,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,3,4,2,5,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,4,2,5,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,6,1,4,2,7,5,8] => ([(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,1,8,5,7,6,2] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,1,2,8,4,7] => ([(0,2),(1,4),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,6,7,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,2,4,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,1,4,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,4,7,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,5,7,2,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,6,1,7,2,4,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,7,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,3,6,8,4,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,5,8,3,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,8,7,6,3,2] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,8,6,7,3,4] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,5,8,7,3,6] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,6,1,7,3,8] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,6,8,7,4,2] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,6,1,8,2,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,7,6,8,2,4] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,6,8,7,2,3] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,3,7,2,8,5] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,6,2,5,4,1,7,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,5,4,1,8] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,5,4,3,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,7,5,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,7,6,2,8,5] => ([(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,2,5,1,6,4,3] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,4,1,6,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,3,6,2,7,5,4] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,7,3,8,6,5] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,1,8,6,2,7,5,4] => ([(0,1),(1,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,8,2,7,4,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,8,1,6,5,3] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,6,1,7,5,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,2,8,1,6,5,4,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,7,1,6,5,4,3] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,1,6,5,4,2] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,5,1,6,3,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,1,4,3,2] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,4,1,7,2] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,8,5,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,8,6,5,1,7,2] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,6,2,3,8,7,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[5,6,7,1,2,8,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,1,2,8,6,3] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,8,6,5,4] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,1,2,7,4,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,7,4,8,6,5] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,3,6,8,1,5] => ([(0,5),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[5,3,6,4,2,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,3,8,2,7,6] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,7,3,1,8] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,4,7,5,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,5,4,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,3,5,8,1,6] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,4,2,8,1,5] => ([(0,2),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,2,8,1,3] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,3,1,8,2,7,6] => ([(0,1),(0,3),(1,3),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,7,3,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,7,2,6,3,8] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,4,1,8,3,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,5,2,8,3,4,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,8,3,6,5] => ([(0,1),(0,2),(0,3),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,8,2,7,1] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,3,8,2,7,4] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,1,8,2,7,5] => ([(0,3),(0,4),(1,2),(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,7,3,1,6] => ([(0,3),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,7,3,1,5] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,7,4,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,6,4,1,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,2,5,4,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,2,6,4,3,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,5,4,3,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,5,6,4,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,4,5,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,2,6,5,4] => ([(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,1,5,8,4,2,6,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,8,4,5,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,3,4,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,4,3,2,5,7] => ([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,4,2,5,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,3,4,6,5,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,4,3,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,8,3,5,7,4] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,7,3,5,4,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,8,4,2,6,7] => ([(0,6),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,6,8,2,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[5,7,4,8,3,2,1,6] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,2,7,3,1,6] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,7,3,4,1,6] => ([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,6,2,4,5] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,6,4,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,7,5,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,8,2,6,4,1,5] => ([(0,4),(0,5),(0,6),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,2,7,3,1,5] => ([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,3,4,1,5] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,3,5,1,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,1,7,2,5,4,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,8,7,4,5,6,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,4,3,5,1,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,3,5,4,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,2,4,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,6,2,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,6,2,4,1] => ([(0,1),(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,5,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,7,5,3,2,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,4,3,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,2,5,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,8,4,3,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,1,5,4,7,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,8,5,4,7,3] => ([(0,1),(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,7,4,1,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,6,8,4,3,7,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,1,8,6,3] => ([(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,2,1,8,7,6,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,7,5,3,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,4,8,2,1,7,3] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,8,4,7,2,6,3,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,7,6,4,1] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,4,3,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,7,4,2,6,1,8] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,5,3,7,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,2,1,5,7,6,3,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,5,4,7,1,6,2,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,1,6,8,7,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,7,3,8,4,6,5] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,8,2,7,3,6,5] => ([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,1,7,2,8,3,6,5] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[7,1,3,2,8,4,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,8,2,4,3,6,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,2,5,3,6,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,8,3,6,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,2,8,3,6,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8)
[5,1,8,2,7,3,6,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,8,2,4,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,6,2,4,3,7,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,4,3,7,5] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,2,5,3,7,4] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,6,2,5,3,7,4] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,7,3,5,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,2,7,3,5,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,1,7,2,8,3,5,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,2,5,3,8,4] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,7,2,4,3,8,5] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,2,4,3,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,2,4,3,8,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,4,3,8,5] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,5,3,8,4] => ([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,8,3,5,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,6,3,5,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,7,5,4,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,7,2,3,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,8,1,5,2,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,1,7,2,6,3,5,8] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,7,4,3,6,2,8] => ([(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,3,2,4,1,6] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,5,4,3,6,2,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,3,7,2,6] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,2,5,3,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,2,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,1,7,3,2,5,6,8] => ([(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,4,8,2,3,6,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,6,8,4,5] => ([(0,3),(1,3),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,2,6,8,3] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,3,2,5,8,7] => ([(0,1),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,6,2,5,7,8] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,5,4,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,7,3,8,2,4] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,2,8,5,7,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,4,3,8,2,7,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,8,5,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,2,1,7,3,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,2,8,5,1,3,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,8,5,1,2,3] => ([(0,2),(0,3),(0,4),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,3,1,4,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,8,6,1,5,3,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,7,8,3,6,4,5] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,7,8,2,3,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,7,3,5,8] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[4,3,1,5,2,7,6,8] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,3,8,1,6] => ([(0,1),(0,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,3,2,8,6,7] => ([(0,5),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,2,8,7,4,5] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,1,7,8,5,2,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,1,6,7,2,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,7,8,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,3,8,7,1] => ([(0,1),(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,2,6,8,7] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,1,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,3,1,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,1,2,5,7,4] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,1,2,5,8,4] => ([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,3,1,2,5,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,2,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,3,5,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,3,7,1,8,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[2,5,3,6,1,8,7,4] => ([(0,7),(1,2),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[2,6,7,3,1,8,4,5] => ([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,7,1,3,5,4,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,3,1,7,4,5] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,7,1,8,4,6] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[4,3,1,2,7,8,6,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[5,1,2,7,3,6,4,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[5,1,4,7,8,2,3,6] => ([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,4,7,8,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,6,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,6,8,2,3,7] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,3,2,4,8,5] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,6,2,7,8,4] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[5,1,3,7,2,6,8,4] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,4,7,8,1,6,3] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,7,6,1,8,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,8,6,1,7,3] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,8,2,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[6,1,8,3,2,4,7,5] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,7,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,7,6,2,3,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,8,6,2,3,7] => ([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,1,8,3,6,4,7] => ([(0,7),(1,2),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,4,2,1,8,7,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[7,6,5,8,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,4,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,5,1,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,2,5,1,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,8,1,3,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,1,5,2,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,2,1,4,5,8] => ([(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,3,6,1,4,7,8] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,6,1,4,7,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,7,3,1,4,5,8] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,1,5,2,3,8] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,3,5,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,1,5,2,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,2,7,3,1,4,5,8] => ([(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,5,6,1,4,7,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,2,6,1,4,7,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,6,7,2,3,8] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,4,6,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,1,3,6,2,4,7,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,4,6,7,1,3,8] => ([(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,4,6,7,1,3,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,7,4,5,1,3,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,4,5,1,3,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,6,7,1,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,5,2,6,7,1,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,6,2,4,7,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,3,2,4,5,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,4,5,2,3,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,4,5,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,6,7,2,3,8] => ([(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,6,3,4,7,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,2,5,4,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,2,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,4,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,2,1,4,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,5,2,8,4] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,4,1,6,2,5,8] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,6,5,2,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,5,6,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,1,6,4,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,4,1,3,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,5,2,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,2,5,8,4] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,6,2,8,5,3] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,7,2,6,8,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(6,7)],8)
[5,6,1,4,7,3,8,2] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,7,4,8,6] => ([(0,3),(1,2),(1,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,8,7,2,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,4,5,8,1,7,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,4,5,1,6,8,7,3] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,5,6,8,7,4] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[4,3,2,5,6,8,1,7] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,4,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,6,5,8,2,7] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,5,8,6,1,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,5,8,1,7,6] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,1,4,6,5,8,7,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,5,4,6,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,7,2,8,3] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,1,7,5,6,8,2] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,7,6,5,8,2] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,6,7,8,5,2] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,5,2,6,8,7,3] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,5,2,6,8,1,4] => ([(0,4),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,5,2,6,8,4,1] => ([(0,5),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,2,7,4,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,4,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,4,7,8,6] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,4,2,7,8,6] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,4,7,8,6] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,6,8,4,3] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,6,8,3,4] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,4,6,5,8,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,6,1,8,3,5] => ([(0,6),(1,3),(1,5),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,4,6,1,8,5,3] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,6,7,1,5,8,4] => ([(0,6),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,3,6,7,5,1,8,4] => ([(0,7),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,2,6,7,1,8,5] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[7,3,2,5,6,8,1,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,5,4,6,8,2,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,4,6,5,8,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,4,5,8,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,4,5,8,1,6,2] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,4,5,8,1,2,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,4,5,8,6,2,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,4,5,8,2,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,3,4,5,8,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,8,2,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,5,8,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,6,5,8,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,4,6,8,3,2] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,6,8,4,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,1,8,3,2] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,8,1,2,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,4,5,8,2,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,4,5,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,7,5,2,3] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,8,2,6,1,5,3] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,2,8,3,5,1] => ([(0,2),(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,7,5,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,6,5,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,1,7,5,3,2] => ([(0,2),(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,8,3,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,6,1,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,7,3,5,4,8] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,8,6,3,5,4,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,5,8,6,4] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,1,5,4,6,8] => ([(1,7),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,1,4,8,5,7] => ([(0,7),(1,6),(2,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[4,2,1,8,3,6,7,5] => ([(0,1),(0,5),(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,1,8,6,3,5,7,4] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,7,3,5,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,3,1,4,8,5,6] => ([(0,7),(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,4,5,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[3,2,1,5,7,8,4,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,7,3,6,8,4,5] => ([(0,1),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,3,1,5,6,8,4] => ([(0,6),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,7,5,1,6,8,3] => ([(0,7),(1,5),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,7,5,6,1,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,8,5,1,7,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,8,3,5,7,4] => ([(0,3),(1,5),(1,6),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,8,3,7,4,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,3,5,7,4,6] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,6,8,4,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[3,2,1,5,7,4,6,8] => ([(1,7),(2,6),(3,4),(3,5),(4,5),(6,7)],8)
[2,1,7,3,6,4,5,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,5,8,4,7] => ([(0,1),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,1,7,5,6,3] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,5,1,6,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,4,3,6,1,7,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,3,5,4,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,3,5,4,7] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,3,1,5,6,4,8] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,7,5,1,6,3,8] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,4,1,7,5,3,6] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,3,1,7,4,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,1,8,5,3,6] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[2,4,8,5,1,6,3,7] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,7,3,4,8,5] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,1,7,8,3,5,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,1,8,3,5,6,4] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,8,3,6,4,5,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,7,4,5,8] => ([(1,6),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[3,2,1,7,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[3,2,1,6,8,4,5,7] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,8,3,7,4,5,6] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,6,7,4,5] => ([(0,7),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,5,1,6,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,5,6,1,7,2] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,1,8,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,1,5,7,2,4,6] => ([(0,1),(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,8,4,7,3,5] => ([(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,8,2,4,7,3] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,4,8,3,6,7,5] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,2,7,8,3,6,5] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[3,5,7,4,8,6,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,4,7,6,1,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,2,5,4,6,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,3,7,6,4] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,8,4,3,5,7,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,5,3,7,6,4,8] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,2,8,7,4,5,3] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,8,4,5,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,8,5,4,7] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,5,3,6,4,7] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,7,8,6,3,5] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,2,8,4,5,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,8,6,2,4,5] => ([(0,1),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,4,5,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,5,6,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,7,4,5,6] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,4,3,7,5,6] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,7,2,4,6,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,7,4,6,1,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,4,7,5,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,2,7,4,5,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,3,8,6,4,7] => ([(2,7),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,7,5,3,6,4,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,7,5,4,8] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,3,7,5,4,8,6] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,7,4,8,6,5,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,7,6,4,5,3] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,3,2,5,4,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,3,1,5,8,4] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,6,5,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,5,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,6,5,3,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,3,5,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,5,2,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,4,6,5,8] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,3,4,5,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,4,2,5,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,2,1,4,8,5,7] => ([(0,4),(1,7),(2,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[3,1,7,2,4,6,8,5] => ([(0,7),(1,6),(2,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[3,4,7,1,5,2,8,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,6,7,4,1,5,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,7,1,5,8,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,2,8,6,5,4,7] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,6,1,2,3,7] => ([(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,8,7,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,4,3,6,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,3,7,1,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,8,5,3,1,7,2] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,8,6,1,3,2,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,1,6,3,7,5] => ([(0,6),(1,4),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,2,8,6,4,7,5] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,4,8,1,7] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,5,8,2,7] => ([(0,6),(1,3),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,5,3,8,6,1,7] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,5,3,2,7,6,4] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,2,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,6,5,8,3] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,6,7,8,5,3] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,8,4,3,6,2,7,5] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,7,3,2,8,1,4] => ([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[2,5,7,3,6,8,4,1] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,4,8,6,7] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,4,2,8,6,7] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[7,6,1,3,8,5,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,1,2,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,8,1,4,5,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,8,1,5,4,7] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,3,6,8,5,1,4,7] => ([(0,7),(1,7),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,6,4,8,2,5,7] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,2,6,8,5,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,4,6,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,2,8,4,1,6,3] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,5,8,2,1,3,6] => ([(0,4),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,5,2,4,6,3,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,2,3,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,3,5,1,7] => ([(0,5),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,4,8,2,5,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,8,3,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,5,3,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,4,8,3,6,2] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,8,4,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,8,5,1,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,8,3,4,1,7] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,7,5,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,8,4,3,1,7] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,8,4,1,3,6] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,4,1,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,2,4,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,6,2,8,5,1,3] => ([(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,2,6,8,5,1,7] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,2,4,1,7] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,4,2,1,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,8,1,4,5,3] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,8,1,4,2,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,8,2,1,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,8,1,4,3,5] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,5,7,8,3,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[2,5,7,8,3,1,4,6] => ([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,3,8,1,5,6] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,8,1,5,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,8,1,2,5] => ([(0,1),(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,6,3,8,2,1,5] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,4,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,2,3,8,1,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,2,8,1,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,8,2,1,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,8,1,6,2] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,8,3,1,6,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,8,3,1,2,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,8,2,3,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,2,8,3,1,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,6,8,4,1,7] => ([(0,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,2,8,1,3,6] => ([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,7,8,2,1,3,6] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,1,3,2,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,1,3,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,6,7,8,1,3,5,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,6,7,8,1,5,3,4] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,8,1,5,2,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7)],8)
[4,6,7,8,1,2,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,5,7,8,2,1,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,4,7,2,8,1,6,3] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[5,3,2,7,8,1,6,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,3,2,7,8,1,6,5] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,7,8,2,1,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,6,7,8,1,2,5,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,8,1,5,2,4] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,6,7,8,1,5,4,2] => ([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[2,6,7,8,1,5,4,3] => ([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[4,2,7,1,5,3,8,6] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,6,1,5,3,7] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,7,5,1,4,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,5,4,8,6] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,2,1,5,8,6,3] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,1,3,5,8,6,4] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,6,4,7,1,5,8] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,4,8,2,7,5,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,4,8,2,6,7,5] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[8,3,1,6,2,5,7,4] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,2,1,5,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,7,3,5,1,8,2] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,7,5,1,8,2,3] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,7,5,8,2,4] => ([(0,1),(0,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,5,1,6,8,2,4] => ([(0,5),(0,6),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,3,5,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,6,8,5,1,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,2,1,5,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,8,2,1,3,5,7,4] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,3,5,7,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,6,1,4,5,8] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,3,5,8,4,7] => ([(0,7),(1,4),(2,3),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,2,5,6,1,4,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,2,6,1,3,8] => ([(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,2,8,1,5,3,7] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,1,2,7,5,3,6] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,2,7,1,3,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,5,1,2,6,3,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,7,4,8,3,5] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,7,8,5,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,4,1,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,4,1,5,6,3] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,1,8,5,6,3,4] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,5,1,6,7,3,4] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,4,5,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,8,3,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,3,7,6,1,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,3,7,1,6,5] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,8,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,3,8,5,1,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,3,8,5,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,3,5,8,1,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,2,3,6,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,8,1,3,7,5] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,5,1,2,3,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,1,2,6,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,1,2,4,8,3] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,3,2,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,3,4,2,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,5,1,8,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,4,3,1,5,8,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,4,1,2,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,6,1,7,5] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[3,5,8,4,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,8,4,1,7,3,6] => ([(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,1,7,8,5] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,6,4,5,1,3,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,8,2,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,8,3,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,4,8,2,3] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,5,1,7,2,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,4,1,7,8,3] => ([(0,7),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,5,4,1,6,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,4,1,7,3,8] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,1,8,3,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,8,4,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,6,2,8,5,3] => ([(0,3),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,2,1,3,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,6,1,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,1,4,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,5,3,2,8,7] => ([(0,1),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,1,4,2,5,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,4,5,7,8,1,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,6,5,2,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,6,8,1,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,3,4,2,8,7,5] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,5,6,1,8,7,3] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,6,5,7,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,4,7,5,1,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,7,4,3,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,8,5,1,6,3,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,7,3,5,1] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,7,3,2,5] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,2,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,1,7,2,4,6] => ([(0,3),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,3,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,5,1,8,7,4,6,3] => ([(0,1),(1,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,8,4,5,6,2] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,3,8,4,7,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,3,1,7,2,5] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,6,1,2,5] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,8,6,4,5,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,8,6,7,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,8,6,5,3] => ([(0,1),(0,3),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,5,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,2,5,3,8,1,4] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,3,4,8,7,5] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,5,4,2,8,3,1,7] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,1,8,7,2,6] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,3,8,5,2,7] => ([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,6,2,8,1,5,3] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,1,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,7,8,6,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[3,4,2,1,8,6,7,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[2,7,6,8,1,5,3,4] => ([(0,4),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,8,3,1,2,7] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,5,6,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,1,5,2,4,7] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,8,7,4,5,1,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,5,7,4,2,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,8,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,7,5,3,6] => ([(0,1),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,3,7,5,4] => ([(0,1),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,8,2,4,1,5,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,8,1,7,5,4,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,4,8,1,3,7] => ([(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,4,8,1,7,2] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,3,2,5,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,5,3,6,7] => ([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,8,2,6,4,3,7] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,6,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,2,8,3,7,5,1] => ([(0,3),(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,3,6,4,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,8,5,3,6,7,1,4] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,5,6,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,4,1,6,3,7,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,5,7,6,2] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,1,4,5,6,2,7] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,3,5,1,4,2] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,7,6,1,4,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,5,8,4,7,1,3,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,2,5,3,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,8,3,1,5,2] => ([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,6,1,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,6,3,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,5,6,3,1,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,5,6,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,5,6,4,1,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,5,6,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,8,5,2,7,4,3] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,5,1,7,4,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,8,2,1,5,3] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,7,8,6,1,5,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,2,3,7,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,8,5,6,3,2,7] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,2,5,6,4,3,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,5,3,7,4,2] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,1,5,2,7,6,4] => ([(0,1),(0,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,5,3,7,6,4] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,6,7,8,3] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,5,3,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,5,3,7,2,4] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,6,3,2,8,5] => ([(0,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,1,7,8,5] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[7,6,4,3,1,2,8,5] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,1,7,2,4] => ([(0,3),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,2,1,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6)],8)
[5,2,3,1,6,7,8,4] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,3,2,6,7,8,4] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,4,6,5,1,7,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,6,1,2,8,3] => ([(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,6,1,7,8,4] => ([(0,7),(1,7),(2,3),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,7,6,1,4,5] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[3,8,7,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,5,6,1,3,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,5,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,6,2,3,8,5] => ([(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,1,5,8,3] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,1,3,8,2] => ([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,7,3,1,2,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,7,1,8,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,7,1,8,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,3,5,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,1,5,3,8,2] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,1,2,6,8,3] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,3,6,8,5] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,2,5,3,7,6,4] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,5,4,7,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,2,1,5,6,4,3,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,6,4,2,7] => ([(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,2,5,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,8,1,6,5,4,7] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,6,1,5,7,8,4] => ([(0,7),(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,4,1,5,2,8,3] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,5,4,7,2,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,1,4,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,4,1,3,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,3,7,2,6] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,3,2,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,4,7,8,6] => ([(0,6),(1,6),(2,5),(3,4),(3,7),(4,7),(5,7)],8)
[7,1,4,3,5,2,8,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,4,7,2,6] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,4,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,1,4,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,3,8,7,5,4] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,8,1,5,7,4,3] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,6,4,8,3,5] => ([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,6,5,3,8,4] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,6,5,4,3] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,1,6,5,4] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,8,6,5,4,2] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,1,4,7,2] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,5,8,2,1,4,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,6,2,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,1,5,4,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,8,1,6,5,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,2,1,6,4] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,3,1,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,5,2,1,7,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,5,1,7,3,2] => ([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,1,3,8,6,2] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,6,3,8,2,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,7,6,4,2,8,3] => ([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,8,7,6,4,3,2] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,7,6,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,6,3,7,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,6,3,2,7,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,2,5,7,3,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,5,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,2,7,3,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,3,6,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,7,3,6,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,4,8,1,5] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,2,8,1,3,6] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,1,3,8,4] => ([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,2,1,7,3] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,1,8,2,5] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,6,3,2,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,3,8,2,4,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,4,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,4,8,6,3,1,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,6,5,3,1,8] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,4,6,5,1,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,4,5,2,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,2,5,3,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,4,1,5,7,3] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,8,5,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,7,8,5,1,6,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,8,1,5,4,6,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,1,4,8,5,3,7,2] => ([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,5,2,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,3,7,2,5] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,4,2,5,8,6] => ([(0,5),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,1,4,3,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,5,3,6,8,2,7] => ([(0,7),(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,5,3,2,7,4] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,6,3,8,5,2] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,1,8,7,5] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,4,3,1,8,2,5] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,1,8,7,6,4] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,5,3,2,8,6,4,7] => ([(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,2,1,7,8,6,3] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,5,1,3,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,1,4,5,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,2,8,5,4] => ([(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,1,8,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,7,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,3,4,7,1,8,6] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,6,3,1,4,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,1,5,4,2,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,1,2,4,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,3,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,2,3,6,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,6,5,4,7,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,6,4,7,2] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,2,5,7,3] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,8,1,6,5,7,4] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,5,2,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,5,4,7,3,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,6,7,2,8] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,1,4,7,6,3,8] => ([(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,8,2,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,2,3,1,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,3,5,8,7,6] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,4,1,3,6,2,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,3,6,2,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,4,6,8,7] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,5,6,7,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,5,4,6,2,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,4,6,2,7,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,5,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,1,5,2,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,3,5,2,7,4] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,1,4,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,8,2,3,6,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,8,4,2,6,7,1] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,5,7,2,6] => ([(0,5),(1,4),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,7,2,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,4,7,5,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,6,5,8,2,7] => ([(0,6),(1,4),(1,5),(2,3),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,1,4,8,5,6,2] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,7,1,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,4,8,1,5,3,6] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,6,3,1,7,8,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,1,6,7,8,4,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,7,8,5,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,3,4,8,7,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,6,5,1,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,7,5,4,1,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,7,6,4,1,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,7,6,1,5,4,3] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,7,6,1,4,3] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,2,8,7,5,1,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,5,1,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,7,5,4,3,2] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,6,5,4,2] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,1,5,4,3] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,7,1,5,4,3] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,2,8,1,7,6,5,3] => ([(0,1),(0,2),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,6,1,5,3] => ([(0,1),(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,7,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,1,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,6,5,3,2] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,8,7,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,7,5,3,2] => ([(0,2),(0,4),(0,5),(1,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,6,5,3,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,1,6,5,4,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,1,7,5,4,2] => ([(0,1),(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,1,8,7,6,4,2] => ([(0,1),(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,6,5,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,1,8,7,4,2] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,8,7,5,2] => ([(0,1),(0,3),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,1,8,7,6,2] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,8,6,4,3] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,1,8,7,6,3] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,2,1,8,6,5,4] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,1,8,7,5,4] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,4,2,3,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,4,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,2,3,6,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,2,3,6,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,3,6,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,8,1,4,5,7] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,6,2,3,8,1,5,7] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,3,6,1,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,6,4,1,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,6,2,1,5,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,8,4,1,5,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,3,6,1,5,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,3,8,1,5,7] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,4,3,8,1,5,7] => ([(0,5),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,3,6,1,5,7] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,8,4,1,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,4,2,1,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,3,8,1,4,5,7] => ([(0,6),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,3,6,1,4,5,7] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,4,2,1,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,6,4,1,5,7] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,4,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,3,8,4,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,1,3,6,4,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,4,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,4,3,8,1,5,7] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,4,7,8,5,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,5,3,7,1,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,2,4,8,7,3] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,4,2,5,6,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,3,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,7,4,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,3,6,8,7,5,2,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,2,5,4,7,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,4,5,8,6,3] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,7,3,5,8,6,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,3,7,8,5,2,4] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,2,3,7,8,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,3,7,1,2,8,5] => ([(0,3),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,4,5,1,8,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,6,3,1,5] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,3,8,7,1,5] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,4,3,1,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,2,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,5,6,4,2] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,3,6,4,1] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,7,5,3,4,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,2,6,4,3] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,6,2,3,7,1] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,3,5,4,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,2,5,7,3] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,6,1,3,5,4,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,6,5,8,7,2] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,5,8,7,4] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,3,8,5,7,6] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[2,4,1,3,5,8,7,6] => ([(1,7),(2,6),(3,4),(3,5),(4,5),(6,7)],8)
[2,6,1,3,5,8,7,4] => ([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,3,5,8,7,2] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,3,5,8,7,2] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,3,5,8,7,2] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,3,5,8,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,1,3,6,5,7,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,3,5,7,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[6,2,1,8,3,5,7,4] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,1,3,8,5,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,4,3,8,5,7,2] => ([(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,3,8,5,7,2] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,3,6,5,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,6,5,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,6,5,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,6,3,5,7,4] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,4,3,5,7,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,1,4,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,2,4,1,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,3,5,7,4] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,1,3,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,3,5,7,2] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,3,5,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,3,5,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,3,5,7,2] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,1,8,3,5,7,2] => ([(0,5),(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,1,3,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,1,3,5,7,4] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,1,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,6,8,1,3,5,7,4] => ([(0,4),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,6,8,1,3,5,7,2] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,3,5,7,2] => ([(0,3),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,8,3,5,7,2] => ([(0,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,3,8,5,7,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,3,8,5,7,2] => ([(0,4),(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,1,8,3,5,7,6] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[2,1,6,8,3,5,7,4] => ([(0,1),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,3,6,8,5,7,2] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,3,6,8,5,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,6,5,7,2] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,3,6,5,7,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,3,5,7,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,3,5,7,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,1,4,3,5,7,6] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,1,6,3,5,7,4] => ([(0,3),(1,6),(1,7),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,6,5,7,2] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,8,3,6,5,7,2] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,6,3,5,7,2] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,3,5,7,2] => ([(0,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,3,5,7,2] => ([(0,6),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,3,5,7,2] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,1,3,5,7,4] => ([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,3,5,7,6] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,1,3,5,7,8] => ([(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,4,3,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,4,3,5,7,2] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,8,4,3,5,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,4,3,5,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,3,5,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,3,5,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,3,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,1,3,5,7,4] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,8,6,3,2] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,8,3,7,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,7,3,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,4,6,3,2,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,1,4,6,3,7,2] => ([(0,6),(0,7),(1,3),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,4,5,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,4,6,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,7,2,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,6,1,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,1,8,7,3,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,4,6,7,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,4,5,7,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,5,6,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,4,5,3,7,2] => ([(0,6),(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,4,5,3,2,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,5,4,6,2,8] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,4,6,7,2] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,4,6,8,2] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,4,5,3,8,2] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,4,6,3,8,2] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,2,8,3,1,6] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,2,8,3,6,1] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,8,3,1,7] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,6,3,2,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,1,5,4,6,2,7] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,4,2,7,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,4,8,2,7] => ([(0,3),(1,2),(1,7),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,1,4,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,1,4,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,1,4,2,8,5] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,5,4,7,8,2] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,7,6,5,8] => ([(1,6),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[3,4,1,2,6,8,7,5] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[6,8,3,1,4,7,2,5] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,7,2,8,5,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,1,4,7,3,2,6] => ([(0,3),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,4,5,3,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,1,5,4,7,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,4,8,7,2] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,4,7,2,8] => ([(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,1,4,2,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,1,4,2,7,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,1,4,6,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,6,5,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,8,7,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,1,4,6,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,1,4,5,2,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,5,4,2,6,8] => ([(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,4,2,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,7,3,6,2] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,4,2,7,5,3,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,8,5,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,4,8,5,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,1,4,7,5,2] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,5,4,8,6,2] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,8,5,7,6] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[3,4,1,2,5,8,7,6] => ([(1,6),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[3,7,1,5,4,2,8,6] => ([(0,3),(1,2),(1,7),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,1,4,5,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,8,1,4,5,2,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,1,4,5,6,2] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,3,1,4,5,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,1,5,4,2,6,7] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,3,2,1,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,5,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,4,3,2,1,7] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,3,2,1,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,2,3,4,7,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,3,1,8,6] => ([(0,1),(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,3,5,7,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,5,8,6,3] => ([(0,5),(1,5),(1,6),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,2,1,5,6,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,5,8,4,3,7] => ([(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,1,6,8,5,2,4] => ([(0,2),(0,7),(1,3),(1,5),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,1,8,6,3,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,2,8,1,7,3,4] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,7,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,2,6,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,3,1,7,6] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,7,6,2,5,3,1] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,1,5,3,2] => ([(0,1),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,2,1,5,3] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,8,5,2,1,6,4] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,2,1,6,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,4,3,8,2,1,6] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,1,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,8,6,1,2,5,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,1,2,4,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,8,3,1,2,5] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,8,2,1,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,6,4,8,3,2,1,5] => ([(0,1),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,2,1,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,3,1,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,4,1,6,7,5] => ([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,8,7,3,1,5,2] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,6,4,7,3,2,5,1] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,7,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,1,5,6,2] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,8,6,1,4,7,3] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,5,7,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,7,2,3,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,7,1,3,5,2] => ([(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,1,3,7,4] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,3,1,4,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,8,7,1,3,4,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,6,8,2,1,3,5] => ([(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,4,1,8,6,7] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,6,4,8,1,5,7] => ([(0,7),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,4,6,3,5,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,6,2,1,3,7] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,8,1,5,4,7] => ([(0,7),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,6,1,4,7,8,3] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,1,4,7,3,8] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,1,6,8,4,2] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,8,5,4,3] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,1,4,5,3] => ([(0,4),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,8,5,3,4] => ([(0,2),(1,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,7,2,4,8] => ([(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,6,1,5,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,5,8,4,1,2,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,5,2,7,3,6] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,2,7,6,3] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,4,1,6,2] => ([(0,4),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,6,4,8,5,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,4,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,4,7,1,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,5,6,8,7,2] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,1,6,8,5,2,4] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,1,8,6,4,7,5] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,6,2,5,7] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,6,4,5,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,6,8,5,4,2] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,7,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,8,5,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,2,6,3,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,5,3,1,2,7] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,4,6,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,5,8,1,7] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,5,1,8,6] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,7,5,1,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,7,1,6,5,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,3,4,7,1,6,8,5] => ([(0,7),(1,7),(2,7),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[2,3,4,6,1,8,7,5] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6)],8)
[6,3,5,8,4,2,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,3,2,1,6] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,8,5,3,2,6,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,4,2,1,7] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,6,8,3,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,6,3,2,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,4,6,3,7,1] => ([(0,5),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,4,6,7,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,5,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,6,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,7,8,3,2,6] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,8,3,6,1] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,6,8,3,2,7] => ([(0,5),(1,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,6,3,2,7] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,6,4,5,3,2,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,4,6,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,4,3,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,4,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,2,4,6,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,4,5,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,3,4,5,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,5,3,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,7,3,6,1] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,2,4,7,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,1,3,4,5,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,4,5,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,4,3,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,5,2,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,1,5,4,7] => ([(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,4,3,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,4,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,2,5,4,6,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,5,6,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,4,8,7,1] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,6,1,4,7] => ([(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,5,1,4,8,6] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,6,2,3,4,7] => ([(0,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,5,4,1,8,6,3,7] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[3,7,6,1,8,2,5,4] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,1,8,2,4,5] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,6,1,4,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,3,4,7,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,4,7,2,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,6,4,8,2,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,5,7,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,1,4,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,3,8,2,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,8,3,4,1,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,8,5,4,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,6,1,4,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,2,5,8,4,6] => ([(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,3,5,8,4,6] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,8,1,3,6,2,5] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[8,1,2,3,5,7,4,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,5,8,4,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,6,1,4,7,3,2,5] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,1,4,8,5] => ([(0,6),(1,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,3,8,1,4,7,5] => ([(0,7),(1,5),(1,7),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,4,8,1,3,2,6] => ([(0,2),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,1,3,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,1,8,5,4,6,7] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,6,5,1,3,4,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,7,6,3,4,2] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,1,8,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,5,2,6,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,2,8,4,7,5,1,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,1,3,2,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,5,2,7,4] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,8,3,4,7,5] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,8,3,1,7,2,4,5] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,2,5,6,1,8,4] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,4,2,5,1,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,5,3,8,4,1,6] => ([(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,4,7,2,6,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,5,7,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,6,4,7,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,4,8,1,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,4,7,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,8,3,5,7,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,5,7,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,4,2,8,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,4,8,2,1,5] => ([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,7,3,5,2,8] => ([(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,3,4,2,8] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,3,4,2,8,5] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,3,8,1,6,5,2,4] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,1,6,5,2,4] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,2,8,6,3] => ([(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,6,5,3,4] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,6,5,1,7,3] => ([(0,5),(0,6),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,8,5,1,7,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,8,1,5,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,4,2,3,8,7] => ([(0,1),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,3,8,7,5,1,6] => ([(0,5),(0,6),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,1,6,5,2,4] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,1,6,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[2,4,3,7,1,6,8,5] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,2,3,7,8,5,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,6,4,2,3,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,1,5,2,3] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,1,4,2,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,8,6,1,5,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,4,7,8,1,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,4,8,7,1,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,7,6,1,5,2,3] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,1,4,2,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,1,4,2,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,7,4,2,3,8] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,8,1,5,2,3] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,6,1,5,2,3] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,4,7,1,5,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,4,8,1,5,6] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,7,1,6,4,8] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,6,7,1,5,2,3] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,6,8,1,5,2,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,8,4,2,3,7] => ([(0,6),(1,5),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,3,7,5,1,6,8] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,7,5,8,1,6,2,4] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,3,7,1,6,5,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,4,7,1,5,8,6,3] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,4,7,6,1,5,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,6,8,1,5,2,3] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,7,1,4,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,1,4,2,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,1,4,2,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,1,4,2,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,7,1,5,2,3] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,7,1,5,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,4,6,1,5,7,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,7,8,5,1,4,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,5,4,2,8,6] => ([(0,3),(1,2),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,2,3,6,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,1,5,3,4,6] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,5,4,2,8] => ([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,5,3,8,4,2,6] => ([(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,6,8,2,7] => ([(0,3),(1,7),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,3,1,5,4,2,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,1,5,8,4,7] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,1,5,3,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,1,7,5,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,8,3,4,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,6,3,8,5] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(6,7)],8)
[2,7,8,1,5,3,4,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,1,8,5,3,6] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,7,2,1,4,5,3,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,1,4,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,1,4,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,4,5,6,8,2] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,7,6,8,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,8,7,1,4,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,1,4,3,2] => ([(0,1),(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,1,4,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,1,5,6,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,1,4,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,4,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,4,5,3,7] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,5,6,3,8,7] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,6,7,1,4,3,2] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,4,5,3,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,1,4,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,1,4,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,6,5,8,7,2] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,1,2,4,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,1,8,7,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,3,7,2,1,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,2,8,4,1,6] => ([(0,2),(0,6),(1,4),(1,5),(1,7),(2,3),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,5,8,3,1,6] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,4,5,1,3,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,5,1,8,7,3] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,4,5,2,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[1,6,4,5,2,8,7,3] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,5,1,2,6,8] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,4,5,8,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,4,5,2,1,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,8,4,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,6,3,2,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,6,3,2,5] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,6,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,3,5,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,3,5,6,7,2,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,1,5,6,7,2,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,3,5,6,7,2,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,3,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,4,1,7,2,6] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,8,4,6,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,3,6,7,5,2] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,1,7,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,2,6,1,5,7] => ([(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,6,7,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,6,7,4,2] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,6,7,1,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,1,5,6,7,4,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,6,7,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,3,6,2,5,8] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,3,6,2,1,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,8,5,7,6,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,1,6,8,7,5,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,1,8,2,7,4,5] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,3,5,8,2,7,1,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,8,6,2,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,8,6,2,3,5] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,6,2,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,8,1,3,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,5,8,2,3,7] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,6,1,8,2,4,5] => ([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,3,6,7,4,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,1,7,4,6] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,6,7,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,6,7,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,5,6,7,3,2] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,5,6,7,3,4] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,5,6,7,3,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,5,3,8,6,7,4,2] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,6,7,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,8,1,7,2,6] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,4,8,6,1,2,7] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,5,6,7,2,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,5,6,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,1,5,6,3,4,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,1,4,3,6,5,8] => ([(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,7,2,5,6,8,1] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,1,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,1,4,2,6,8,5] => ([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[3,7,1,5,6,2,8,4] => ([(0,6),(1,2),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,5,6,8,2,3] => ([(0,4),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,2,6,7,3,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,3,7,1,5] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,3,5,7,1,6] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,5,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,6,2,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,2,8,1,6] => ([(0,1),(0,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,3,8,1,5] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,2,8,3,1,4] => ([(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,2,4,8,6,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,1,8,3,4,7] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,4,5,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,3,2,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,3,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,5,1,6,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,1,7,2,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,3,1,2,7,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,3,1,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,4,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,2,1,8,6] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,2,3,1,8,5] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,5,3,1,2,8,4] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,1,8,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,1,8,6,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,5,7,3,1,8,4] => ([(0,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,3,2,4,7,5,1,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,3,7,5,8] => ([(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[4,2,1,6,3,7,8,5] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6)],8)
[4,2,1,3,7,8,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,2,1,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6)],8)
[4,2,1,6,3,8,7,5] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(5,6)],8)
[3,6,7,5,2,4,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,5,2,4,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,7,3,6,5,8] => ([(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[3,7,6,8,4,2,5,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,7,4,2,6,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,6,2,4,5,1] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,5,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[4,8,1,7,3,6,5,2] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,3,7,6,5] => ([(0,6),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[2,6,1,5,4,7,8,3] => ([(0,7),(1,7),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,1,4,8,7,2] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,5,1,8,3,4,6] => ([(0,5),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[4,7,5,2,1,3,6,8] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,4,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,1,4,8,3,7] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,8,4,5,3,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,4,6,3,2] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,7,5,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,7,5,3,2] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,6,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,1,6,7,3,2] => ([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,6,7,3,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,4,2,3,8] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,2,6,1,5,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,2,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,4,6,2,5,3,7] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,6,7,1,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,7,1,6,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,7,1,4,6,5,3] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,5,4,6,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,6,8,1,4] => ([(0,6),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,6,2,4,8] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,6,5,8,1,4] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,7,2,4,1,6,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,4,3,7,5] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,7,3,2,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,3,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,5,6,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,5,6,3,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,4,7,6,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,5,7,3,6,4,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,2,7,6,4] => ([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,3,4,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,3,4,8,6,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,1,4,5,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,8,2,5,6,4] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,8,5,1,6,4,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,1,2,3,4,8,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,1,5,2,7,3,6] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,2,5,3,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[4,3,6,8,7,5,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,1,2,5,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[5,4,1,6,8,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,1,2,8,6,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,1,2,8,3,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,1,2,3,7,8,4] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,3,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,1,2,5,3,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,6,3,7,2,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,3,1,7,4] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,5,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,2,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,2,4,3,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,5,7,2,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,5,6,3,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,8,2,7,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,8,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,5,8,1,4,7,3] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,8,2,5,7,4,6] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,1,5,4,7,8] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,4,5,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,2,4,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,2,6,4,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,5,2,7,8] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,7,1,2,6,3,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,7,1,4,2,5,3,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,1,3,5,6,4,8] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,1,2,4,3,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,5,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,7,5,3,8,4] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,5,3,8,4,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,2,3,8,4] => ([(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,8,2,6,5,7,4] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,6,3,4,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,4,8,2,5,7,6] => ([(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,2,6,4,7] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,8,3,2,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,8,3,5,7,6,2] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,3,5,7,6] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,8,4,2,6,7,5] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,7,3,8,2,4,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,7,5,8,3,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,2,1,8,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,5,2,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,8,4,6,3] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,3,1,7,2,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,8,3,2,7,5] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,7,1,8,6,2,5] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,6,8,2,1,5,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,6,1,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,6,4,1,7] => ([(0,6),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,3,8,6,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,3,8,1,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,5,6,4,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,6,8,3,4,7] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,8,4,1,3,7] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,8,3,4,2,7] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,6,3,2,7] => ([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,6,8,3,2,7] => ([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,8,2,6,1] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,8,2,5,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,7,8,2,5] => ([(0,2),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,7,8,2,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,3,5,4,8,2,6] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,8,1,4,3,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,3,8,4,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,7,3,8,6,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,8,5,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,6,7,8,4,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,7,3,8,5,2] => ([(0,3),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,8,4,5,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,4,8,1,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,1,4,7,3,8,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,5,6,7,8,1,4] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,3,6,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,3,2,8,4,5] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,1,3,4,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,7,3,8,4,6] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[6,4,2,7,1,8,3,5] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,7,8,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[4,2,6,3,7,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,8,2,4,5,1] => ([(0,1),(0,2),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,4,1,8,5] => ([(0,5),(1,4),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,3,2,1,4,8,5] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,3,4,2,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,1,8,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[7,2,4,8,6,1,3,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,8,6,2,1,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,1,8,6,4] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,7,8,3,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,7,8,2,5,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,4,8,5,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,7,1,8,5,3] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,2,7,1,8,5,3] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[1,7,4,8,5,2,6,3] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,7,8,5,2,6,4] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,7,8,1,6,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,7,1,8,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,6,4,7,8,2,5,3] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,6,1,7,8,4,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,6,1,2,7,8,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,1,8,5,3,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,8,5,4,1,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,4,8,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,4,6,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,3,6,2,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,3,6,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,3,4,7,2,6] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,4,6,3,7,5] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,5,4,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,1,4,5,8] => ([(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,3,8,6,7,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,4,8,1,3,7,6] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,5,4,8,3,7,1] => ([(0,5),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,8,2,7,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,8,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,2,4,7,1,6,8] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,8,1,6,2,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,3,7,1,6,2,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,6,3,8,5,1,2,4] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,7,3,8,1,5] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,2,8,6,3] => ([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,2,8,6,4,5] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,7,8,6,2,5] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,6,8,2,7,4] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,5,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,3,5,6,8,1,7] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,7,3,8,5,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,5,6,8,1,7,4] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,4,5,2,3,8,7,1] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,5,3,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,7,5,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,4,5,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,5,8,7,3,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,5,3,8,7,1] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,2,3,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,7,4,5,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,2,4,5,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,8,7,3,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,8,7,5,3,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,6,7,5,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,7,5,3,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,8,7,3,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,6,8,7,5,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,2,5,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,5,2,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,5,8,7,2,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,2,7,5,3,1] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,8,2,7,3,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,6,4,7,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,4,2,5,3,1] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,6,3,8,1,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,7,4,8,3,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,4,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,5,8,4,1] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,8,1,5,7] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,6,4,7,8,5,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,8,3,4,6,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,8,2,6,3,4,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,6,3,5,8,4,2] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,7,8,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,4,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,1,2,5,8,6,4] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,5,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,2,7,5,1,6] => ([(0,5),(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,8,5,7,4,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,2,5,6,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,5,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,8,1,6,2,7,5] => ([(0,4),(0,7),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,7,3,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,4,5,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,1,2,8,3] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,6,5,7,4,3] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,2,5,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,7,6,1,8,4] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,2,4,6,7,3,5] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,7,4,8,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,8,4,3,1,7] => ([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,4,3,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,8,5,3,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,1,8,4,6,2] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,5,4,6,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,4,3,8,6,2,1] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,3,5,2,7] => ([(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,4,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,4,5,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[8,1,3,7,6,2,4,5] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,8,7,1,4,5] => ([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,2,8,5,7,1,6] => ([(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,8,5,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,5,1,8,6] => ([(0,2),(1,6),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,7,5,8,6,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,8,6,5,1,7] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,3,5,1,8,6,7] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,8,1,4,6,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,7,8,3,1,2,6,5] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,8,2,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,8,2,3,7,5] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,5,1,2,8,3,7,6] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,6,2,8,1,3,7,5] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,8,4,7,1,5] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,8,4,7,1,5] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,3,1,7,5] => ([(0,3),(0,6),(1,4),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,1,8,3,7,6] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[4,1,2,5,8,3,7,6] => ([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[5,2,4,1,3,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,8,1,7,6] => ([(0,1),(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,8,7,1,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,4,2,3,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,3,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,1,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,8,7,2,6] => ([(0,1),(0,7),(1,4),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,1,8,7,2,6] => ([(0,4),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[4,3,6,8,2,1,7,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,4,6,8,3,7,5,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,5,2,8,7,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,1,4,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,4,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,8,1,7,6] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,1,3,4,8,7,6] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,1,2,3,4,8,7,6] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[8,6,2,5,4,1,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,3,8,2,4,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,6,3,4,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,6,2,4,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,1,3,5,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,6,5,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,7,8,4,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,5,8,4,2] => ([(0,5),(0,6),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,3,4,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,2,1,4,5,3] => ([(0,1),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,7,6,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,4,7,2,6,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,6,4,2,5] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,7,8,6,2,4] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,8,2,7,1,6,4] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,8,5,3,1,7,4] => ([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,4,7,1,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,8,5,1,7,6] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,6,5,2,1,7,4] => ([(0,5),(0,6),(1,2),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,2,1,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,8,2,6,7,5] => ([(0,1),(0,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,3,7,1,5,2] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,1,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,7,6,2,8,4,3] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,7,4,1,3] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,6,7,1,3,4] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,6,3,1,8,4] => ([(0,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,2,8,3,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,7,3,8,4,6,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,1,8,5,3,6] => ([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[4,2,1,8,7,5,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,7,1,5,4,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,5,8,6,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,3,1,6,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,5,8,3,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,1,4,8,6,2] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,8,5,1,4,6,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,5,3,8,4,2,7] => ([(1,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,3,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,3,5,2,7] => ([(0,7),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,5,7,1,6] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,2,5,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,5,8,1,6] => ([(0,1),(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,7,8,5,6,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,4,3,8,5,1,7] => ([(0,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,2,1,6,4,5,7] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,4,5,7,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,8,3,2,1,5,7] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,8,5,4,1,7] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,2,5,4,1,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,5,3,8,7,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,5,3,1,7] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,4,1,3,7] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,5,4,2,7] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,3,2,6,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,7,2,5,1] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,2,1,8,5] => ([(0,2),(1,4),(1,6),(1,7),(2,3),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,1,8,2,6] => ([(0,1),(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,5,1,4,2,6] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,7,6,2,1,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,8,1,5,7,4,6,2] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,3,1,6,2] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,4,8,3,7,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,7,1,5,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,8,3,1,6,5,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,6,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,3,8,7,5,2] => ([(0,4),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,1,7,4,5,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,6,4,2,8,5] => ([(0,4),(1,2),(1,7),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,5,6,8,4] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,2,7,5,8,4] => ([(0,7),(1,2),(1,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,2,5,8,1,4] => ([(0,3),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,5,8,7,4,1] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,3,6,7,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,3,8,1,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,4,8,7,5,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,4,6,1,8,5] => ([(0,5),(1,4),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,7,2,8,1,4,6] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,8,7,5,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,2,6,5,1,4] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,8,7,2,5,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,4,8,1,7,6,3] => ([(0,6),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,2,8,1,7,6,3,4] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,3,8,7,5,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,1,8,7,5,2,4] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,1,2,8,7,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,8,1,6,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,1,5,4,3] => ([(0,2),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,6,2,4,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,8,6,1,2,5,3] => ([(0,1),(0,2),(0,5),(0,6),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,8,3,6,5,4] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,1,6,4,3,2] => ([(0,1),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,7,2,1,6] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,8,3,2,7,1] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,2,8,5,1] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,8,2,5,6] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,1,2,5,8,3,6] => ([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,2,5,1,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,4,6,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,1,6,2,8,3] => ([(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,4,6,3,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,1,4,3,2,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,3,7,5,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,3,8,5,2] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,3,1,6,8] => ([(1,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,2,7,6,8,3] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,6,8,3,1,2,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,1,3,7,2,5] => ([(0,1),(0,5),(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,1,3,8,5,2,7] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,8,4,5,7,2,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,7,4,5,3,1,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,3,5,1,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,7,4,2,8,5,6] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,3,7,2,5,8] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[2,8,1,3,6,5,4,7] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,3,5,4,1,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,6,8,7,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[7,4,2,3,6,1,8,5] => ([(0,4),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,3,6,5,7,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,4,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,2,7,1,5,4] => ([(0,1),(0,2),(0,5),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,5,6,3,7,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,2,5,8,1,6,3] => ([(0,1),(0,5),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,3,4,5,1,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,2,4,6,5,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,6,8,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,6,5,2,7,4,8] => ([(1,7),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,5,3,4,1,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,5,6,8,4] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,2,1,5,6,8] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,8,5,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,7,5,8,3,6] => ([(0,3),(0,7),(1,2),(1,5),(2,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,2,6,5,1,3,8] => ([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,4,1,2,5,8,6] => ([(0,3),(1,7),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,6,5,2,8,3] => ([(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,3,6,5,1,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,1,6,8,5,2] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,7,5,6,8,3] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,4,8,6,7,1,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,7,3,1,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,8,5,2,7] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(6,7)],8)
[4,1,6,7,5,8,2,3] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,7,5,1,2,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,1,6,8,2,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,7,5,6,8,2,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,6,5,2,8] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,7,4,5,3,1,6] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,3,5,1,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,4,2,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,7,3,6,2,5,8] => ([(1,5),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,7,6,1,2,4,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,2,1,3,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,6,8,5,3] => ([(0,4),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,3,6,1,8,5] => ([(0,5),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[4,2,7,3,6,5,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,2,4,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,4,1,6,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,6,2,4,1,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,5,3,7,1,4] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,5,1,4,7,2] => ([(0,6),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,4,6,7,5] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,5,6,3,8,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,5,6,1,8,3] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,7,5,3,1,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,4,5,8,7] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,7,3,4,5,1,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,2,4,6,5,7] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,7,6,1,3,4,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,5,6,2,3,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,8,1,5,2,6,4,7] => ([(0,7),(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,3,4,1,6] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,4,3,1,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,5,6,3,2,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,1,3,2,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,5,2,8,1,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,7,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,5,1,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,3,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,2,4,6,8,3] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,1,2,6,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,4,1,7,3,6,8,2] => ([(0,7),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,7,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,2,5,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,1,3,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,7,6,4,3,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,6,3,1,4,8,2] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,3,4,8,1,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,3,8,4,2,5] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,3,4,8,5,2] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,2,7,8,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,2,8,6,7,1,4,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,5,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,4,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,3,5,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,1,2,4,7] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,1,8,2,6,4] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,8,3,5,6,4] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,8,2,5,3,4] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[6,7,5,2,8,1,4,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,4,5,8,6,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,4,2,8,1,3] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,6,1,2,8,4,3] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,8,6,2,5] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,4,3,6,8,7,2] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,6,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,6,8,4,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,4,2,7,3] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,3,6,5,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,5,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,5,1,2,7] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,4,8,1,2,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,3,8,2,6,5,1] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,3,5,4,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,4,2,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,8,3,1,4,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,2,5,7,6] => ([(0,7),(1,6),(2,3),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,5,2,1,3,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,6,3,1,4,7] => ([(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,2,3,7,4,1,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,2,3,4,6,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,7,2,4,5,3,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,2,5,4,7] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,6,3,5,4,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,6,3,5,4,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,4,3,6,8] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,4,3,6,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,4,2,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,4,2,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,6,2,3,7,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,3,2,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,5,2,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,5,3,6,8] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,4,5,3,6,8] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,3,1,5,4,7,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,1,5,4,7,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,5,2,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,4,2,6,8] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,2,5,4,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,6,2,5,4,8] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,4,5,2,6,8] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,1,5,4,7,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,6,1,5,4,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,5,2,4,1,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,1,5,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,5,3,7,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,4,1,5,3,7,8] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,5,1,3,7,4,8] => ([(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,3,7,4,8] => ([(1,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,3,7,4,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,2,4,5,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,2,8,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,2,5,4,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,1,3,7,4,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,1,3,7,4,8] => ([(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,5,3,7,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,3,5,2,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,1,5,3,2,6,8] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,4,2,6,3,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,6,2,3,8,4] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,3,1,2,7,4,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,5,3,1,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,2,7,4,8] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,6,1,5,2,7,8] => ([(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,1,8,7,3,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,5,4,1,3,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,3,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,6,2,7,1,4,3] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,7,8,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,5,3,8,2] => ([(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,1,3,8,2] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,4,5,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,5,3,8,4,2] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,1,6,4,3] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,5,3,8,4,2] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,4,7,8,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,1,7,8,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,4,8,6,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,6,7,2,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,6,4,1,2,7,3] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,1,7,2,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,2,6,4,1] => ([(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,7,2,6,4,3] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,7,2,6,4,3] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,5,6,3,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,2,5,1,3,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,6,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,2,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,8,5,1,6,2,4] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,2,7,8,1,4,3] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,1,2,8,5,6,3,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,2,1,5,6,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,5,2,3,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,8,5,2,3,4] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,2,1,8,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,1,6,4,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,5,8,6,2,4] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,4,6,8,7,2] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,8,2,7,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,8,1,7,2] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,8,5,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,4,3,1,2,6,7,5] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,6,3,4,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,6,3,4,7,2] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,1,5,3,7,2] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,8,3,2,7,1] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,7,1,5,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,8,1,3,4,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,8,3,1,2,7,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,8,3,5,2,7,4] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,8,3,5,2,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,5,2,7,4] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,3,5,6,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,8,1,2,6,7,5] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,8,2,4,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,2,3,1,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,2,3,5,1,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,2,3,5,6,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,1,4,3,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,1,3,8,7] => ([(0,4),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,6,3,8,2,5] => ([(0,3),(1,2),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,5,7,6,3,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,5,1,8,2,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,3,4,1,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,5,2,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,5,1,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,5,1,8,4,3] => ([(0,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,6,1,2,5,3,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,8,3,4,7] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[7,6,5,2,8,3,4,1] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,5,1,8,7,4] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,7,6,5,8,1,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,8,7,6,3,5] => ([(0,4),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,8,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,7,4,6,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,5,1,6,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,5,1,6,7,2,3] => ([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,1,6,7,2,4] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,3,5,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,7,2,8,1,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,1,8,6,7,4,3] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,6,7,4,2] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,8,6,7,4,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,4,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,3,8,6,7,4,2] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,8,6,7,4,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,3,8,7,4] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,8,1,4,7] => ([(0,2),(1,2),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,6,3,5,2,7,4] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,5,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,8,3,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,8,1,3,4,6] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,2,8,5,1,4,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,5,2,6,4] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,5,1,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,1,4,2,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,5,7,4,1,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,6,8,5,1,3,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,7,5,6,3] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,2,6,4,3] => ([(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,4,1,7,5] => ([(0,4),(0,6),(1,2),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,8,2,6,7,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,6,7,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,4,6,7,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,6,7,1,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,6,7,3,5] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,4,8,1,6,7,3,5] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,2,6,7,3,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,7,2,1,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,6,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,4,1,3,6] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,6,7,2,3] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,4,6,7,2,5] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,3,4,6,7,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,3,8,4,1,5] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,8,5,1,6] => ([(0,2),(0,7),(1,2),(1,6),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,4,6,1,7] => ([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,6,5,3,1,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,3,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,5,4,1,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,3,2,6,1,7] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,2,4,6,1,7] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,2,3,1,5] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,4,2,1,7] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,2,5,3,1,7] => ([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,2,8,7,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,3,2,8,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[5,7,4,3,1,2,6,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,3,5,1,4,6] => ([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,4,1,2,5] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,7,3,8,5,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,7,4,3,8,6,5] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,4,3,8,2,7,5] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,1,3,2,8,7,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[1,8,4,2,7,6,5,3] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,2,6,5,4] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,8,3,7,2,6] => ([(0,6),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,8,5,4,7,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,7,8,2,4,3] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,7,2,5,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,6,1,2,5,3,8] => ([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,1,5,2,4,8] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,3,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,6,1,2,5,4,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,1,3,2,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,7,4,8,2,1,3,6] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,2,5,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,1,5,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,8,5,7,4] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,6,8,4,7,3] => ([(1,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,3,8,1,4,6] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[6,4,7,5,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,8,5,1,6,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,1,7,4,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,1,7,5,3] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,5,8,6,3] => ([(0,4),(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,8,5,2,3] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,7,5,3,2] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,2,8,4,7,5] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[7,5,1,3,2,8,6,4] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,5,8,6,3] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,2,7,5,3] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,8,1,2,6,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,8,1,6,3,5,2] => ([(0,2),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,2,1,7,3,6,4] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,1,8,2,4,7,5] => ([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,7,6,2,5,4] => ([(1,4),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,8,7,3,2,6] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,7,2,4,6] => ([(0,2),(0,5),(1,6),(1,7),(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,3,7,2,5] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,8,6,3,5] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,1,7,6,2,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,5,4,2,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,5,4,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,6,4,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,3,6,4,2] => ([(0,3),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,7,6,2,5,3] => ([(0,1),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,6,5,2,4] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,5,2,3,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,4,5,2,3,6,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,5,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,5,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,4,2,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,3,4,2,5] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,7,3,4,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,2,6,5,8] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,4,7,3,6] => ([(1,5),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,2,8,5,7,3,6] => ([(1,4),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,2,6,4,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,7,3,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,2,5,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,6,2,3,5,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,6,2,4,3,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,2,8,5,6,4,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,5,6,3,7] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,2,8,4,6,3,7] => ([(1,6),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,4,5,3,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,7,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,7,2,8,3,5] => ([(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,7,3,5,8,2,6] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,3,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,2,3,6,1,7] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,2,3,1,6] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,6,2,4,5,1,7] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,2,3,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,3,4,8,2,6] => ([(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,4,8,2,3,5] => ([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,1,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,3,4,1,2,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,5,1,6,3,7,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,7,4,8,2,5] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,7,3,5,8,2,6] => ([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,6,4,8,2,3,5] => ([(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,5,8,2,3,4,7] => ([(0,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,7,3,8,2,4,6] => ([(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,1,5,7,8,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,8,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,7,5,1,2,4,6] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,1,2,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,2,3,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,5,8,4,1,2,3,7] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,7,4,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,8,2,3,6] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,8,2,1,3,5] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,3,8,1,4,5] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,1,6,2,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,2,3,1,7,4,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,2,7,3,5] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,8,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,1,3,8,2,4,5] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,3,6,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,4,1,8,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,4,8,7,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,2,3,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,2,3,4,7] => ([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,1,3,8,2,4,6] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[7,6,8,1,5,2,3,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,1,5,8,6,2,3,4] => ([(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,7,3,4,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,1,8,7,2,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,1,8,7,2,3,4,6] => ([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,8,7,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,6,5,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,5,8,3,1] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,7,5,8,3,6] => ([(0,5),(1,3),(1,7),(2,5),(2,7),(3,6),(4,6),(4,7),(6,7)],8)
[7,1,4,6,5,8,2,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,4,6,3,8,2,5] => ([(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,6,5,3,2,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,5,3,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,1,6,8,2,5] => ([(0,4),(0,7),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,1,7,8,6,2,5] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,2,7,5,3,1,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,5,6,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,5,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,2,6,5,8,1] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,1,2,6,7,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,7,3,6,2,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,5,1,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,4,1,5,2,6] => ([(0,6),(0,7),(1,3),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,1,6,4,7] => ([(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,3,6,2,1,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,2,1,6,5,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,8,5,2,1,6] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,2,8,4,3,1,7] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,6,5,1,7] => ([(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,5,1,6,2] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,5,8,6,1,4,7] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,3,7,5,2,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,5,1,2,6] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,8,4,1,2,6] => ([(0,3),(0,4),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,8,3,1,4,7] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,4,8,3,1,5,7] => ([(0,5),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,3,8,4,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,7,4,1,6,2] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,8,6,4,1,7] => ([(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,4,2,1,6] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,6,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,3,7,2,4,1] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,8,2,7,1] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,8,2,5,1] => ([(0,2),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,8,2,4,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,3,7,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,5,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,3,5,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,5,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,3,2,6,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,4,3,2,7,1] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,3,4,2,7,1] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,4,2,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,8,3,6,2,5,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,5,2,6,1] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,5,2,7,1] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,5,2,8,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,3,7,2,6,1] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,3,7,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,4,7,2,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,8,4,7,3,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,8,2,5,1] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,8,2,6,1] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,8,2,7,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,4,7,8,1] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,8,6,3,7] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)
[4,2,1,5,8,7,6,3] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,1,7,5,8,6,2] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,1,4,8,2,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,1,8,5,4,6,7] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,2,7,1,8,4,3,6] => ([(0,2),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,6,7,8,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,1,6,8,7,5,3] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,8,5,3,7] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,1,8,7,4,3] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,2,6,1,8,3,4,7] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,2,1,6,8,3,7,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[4,2,1,7,8,6,3,5] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,1,8,6,4,7,5] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,4,5,7] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,4,6,5,7] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,1,8,4,6,7,5] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,4,7,6,5] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,7,4,6,5] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,1,8,3,4,6] => ([(0,5),(0,6),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[4,2,1,7,8,3,5,6] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,2,1,8,4,5,7,6] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[7,5,2,8,6,3,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,2,5,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,2,4,5,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,5,2,4,6,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,8,4,5,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,4,5,1,7] => ([(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,8,1,5,2,7] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,8,2,4,1,5] => ([(0,3),(0,4),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,3,8,2,4,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,2,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,2,7,5,1,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,3,7,8,2,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,2,5,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,8,2,4,7,1] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,8,2,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,2,1,5,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,6,4,2,1,7] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,3,4,2,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,2,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,2,1,5,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,1,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,4,1,7,8,6,3] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[2,7,8,5,4,1,6,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,5,4,1,6,3,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,3,8,5,4,1,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,3,5,4,1,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,4,2,1,3,7] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,7,8,6,3] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,6,3,5,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,5,7,6,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,1,8,4,3,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,6,4,3,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,5,6,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(6,7)],8)
[8,4,2,1,5,6,3,7] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,3,8,4,1,7] => ([(0,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,2,1,8,5,7] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,6,4,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,6,4,2,1,7] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,1,8,5,7] => ([(0,3),(1,3),(1,5),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,4,2,1,5,7] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,6,4,2,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,6,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,4,1,8,5,3] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,7,6,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,3,8,5,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,6,4,3,5] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,4,3,7,8,5] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,2,1,3,7,8,5] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,8,4,2,1,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,1,6,3,5] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,2,3,8,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,4,3,7,5] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,7,5,8,4,3] => ([(0,2),(1,6),(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,3,7,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,6,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,7,6,2,1,3,8,5] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,1,8,4,2,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,8,4,3,6,1] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,6,1,7,5] => ([(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,8,3,2,1,5] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,5,2,1,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,8,4,1,7] => ([(0,1),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,8,4,1,3] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,5,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,5,4,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,5,4,1,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,3,1,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,7,4,2,8,6] => ([(1,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,3,4,2,8,5] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,5,2,3,1,7,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,3,4,2,8,5] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,3,2,5,7,4] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,1,4,6,3] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,1,4,6,3] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,2,3,1,7,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,6,2,3,1,7,4] => ([(0,4),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,3,1,7,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,4,1,7,5] => ([(0,1),(0,6),(1,6),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,5,4,8,6] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,3,7,5,2,8,6] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(5,7),(6,7)],8)
[5,1,7,3,4,2,8,6] => ([(0,7),(1,2),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,3,2,5,8,4] => ([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,4,3,6,8,5] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,4,5,7,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,3,2,6,7,4] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,7,1,5,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,1,5,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,4,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,3,4,5,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,8,6,1,3,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,2,4,5,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,7,1,3,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,1,3,4,5,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,5,8,2,3,1,7,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,6,8,3,2,5,7,4] => ([(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,3,8,2,6,7,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[8,4,2,7,1,5,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,8,1,5,6,3] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,2,8,3,1,7,5] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,2,3,8,1,7,6] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,1,6,8,7] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,2,1,3,6,8,5] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,1,3,6,7,5] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,4,7,8,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,5,1,3,2,6,7,4] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,3,4,2,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,1,5,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,7,2,1,3,6,8,5] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[5,7,1,3,2,6,8,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,1,2,4,5,8,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,1,2,4,5,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,4,5,6,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,4,5,6,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,3,2,6,7,4] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,1,3,6,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[4,1,3,2,5,7,8,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,1,2,4,3,7,8,6] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,4,8,1,2,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,4,7,6,3,2,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,7,6,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,7,1,6,5] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,1,7,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[4,1,8,7,3,2,5,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,1,2,5,3,6] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,6,7,4,1,8,5] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,8,4,2,5,6] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,4,8,6,1,5] => ([(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,7,2,5,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,1,5,8,2,3,6] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,7,3,8,4,1,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,6,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,8,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,5,4,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,4,8,5,7,3] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,3,1,4,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,3,8,7,2,4] => ([(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,1,8,7,4,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,2,7,5,8,3,6,4] => ([(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,7,8,2,5] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(6,7)],8)
[3,1,6,4,8,2,7,5] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,1,6,3,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,3,8,7,2,5] => ([(0,6),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,1,3,8,2,7] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,1,4,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,3,5,7,4,6,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,4,7,2,6,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,5,4,7,8,2,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,5,7,4,8,2,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,7,4,8,6,2] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,5,7,8,4,2,6] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,2,7,4,8,5] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,1,6,2,8,7,4] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,3,7,2,5,4,8,6] => ([(1,6),(2,5),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,7,5,2,4,8,6] => ([(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,3,8,1,6] => ([(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,7,8,1,5,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,5,2,7,8,4,1,6] => ([(0,4),(0,5),(1,3),(1,7),(2,3),(2,6),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,8,3,2,6] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,6,8,4,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,3,8,6,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,2,8,5,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,7,3,8,6,2,5] => ([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,8,2,4,1,6] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,3,1,5,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,5,8,2,4,7] => ([(0,5),(1,4),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,4,8,1,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,6,8,1,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,4,8,3,1,5,6] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,8,7,2,4,1,6] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,3,1,5,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,2,3,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,2,3,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,8,2,3,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,8,2,3,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,7,2,3,1,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,8,4,1,6,5] => ([(0,7),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,4,8,2,5,1,6] => ([(0,5),(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,4,1,6,8,5] => ([(0,6),(1,6),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,1,7,4,2,8,5] => ([(0,5),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,6,2,3,1,4] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,6,4,2,3,8,5] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,6,4,2,8,5] => ([(0,4),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,7,5,2,3,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,5,8,7,2] => ([(0,6),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,6,5,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,5,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,1,5,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,6,5,3,8,7,2] => ([(0,5),(1,2),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,5,3,8,7,2] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,1,8,7,4] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,1,8,7,3,4] => ([(0,3),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,8,1,7,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[2,6,5,8,1,3,7,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,5,8,3,1,7,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,5,3,8,1,7,4] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,5,8,3,7,2] => ([(0,3),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,5,8,3,7,2] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,5,8,3,7,2] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,5,8,7,3,2] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,8,7,1,4] => ([(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,3,8,7,1,5,2] => ([(0,1),(0,2),(0,5),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,8,3,7,1,5,2] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,8,5,3,7,1,4] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,8,1,5,7,3,2] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,5,7,3,2] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,8,5,7,3,2] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,8,5,7,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,8,5,3,7,2] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,5,3,7,2] => ([(0,4),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,3,1,7,4] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,8,5,1,7,3,4] => ([(0,5),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,8,3,1,5,7,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,1,8,5,7,2] => ([(0,4),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,1,5,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,3,8,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,8,1,5,7,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,3,6,1,8,5,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,6,8,5,7,2] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,6,8,7,5,2] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,1,8,7,5,2] => ([(0,1),(0,2),(0,3),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,8,1,7,5,2] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,2,8,7,3,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,8,7,1,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,8,7,3,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,1,7,5,2] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,3,1,8,7,5,2] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,8,7,5,2] => ([(0,5),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,6,3,8,7,5,2] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,8,3,7,5,2] => ([(0,3),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,3,7,5,2] => ([(0,2),(0,6),(1,4),(1,5),(1,7),(2,3),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,1,3,7,5,2] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,5,7,3,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,5,7,1,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,8,7,1,5,3,6] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,5,3,1,6] => ([(0,5),(0,6),(1,2),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,7,5,3,2] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,8,7,5,3,2] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,7,3,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,7,3,5,2] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,5,1,3,6] => ([(0,5),(0,6),(1,2),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,8,7,3,5,1,6] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,8,5,6,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,7,1,4,8,6,5] => ([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,3,7,8,5,4] => ([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,6,4,7,8] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,3,2,6,7,4,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,2,7,5,4,8,6] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,4,3,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,5,3,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,2,3,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,8,2,1,5,7] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,5,3,4,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,3,7,5,1,8] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,3,6,5,1,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,3,5,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,4,6,1,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,6,4,7,1,8] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,3,5,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,1,6,8,4,7] => ([(0,7),(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,5,2,6,8,4,3,7] => ([(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,2,8,4,3,6] => ([(1,4),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,2,1,8,6,4,7] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(6,7)],8)
[3,6,8,4,2,1,5,7] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,2,6,1,8,5,7] => ([(0,3),(1,2),(1,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,7,4,3,6] => ([(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,4,8,6,5] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,2,3,4,1,7,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,8,2,3,5,7,6] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,8,4,5,7,6] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[7,3,2,1,4,5,8,6] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,4,3,5,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,4,6,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,2,3,4,8,7,5] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,8,2,3,4,7,6,5] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,6,7,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,5,4,7,6] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,1,4,3,5,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,4,5,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,5,6,4,7] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,6,5,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,3,5,4,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,8,3,5,2,6] => ([(0,4),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,4,1,7,3,5,2,6] => ([(0,5),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,6,2,1,5,7] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,3,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,3,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,4,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,1,8,6,7] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,1,8,6,7] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,1,5,3,6] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,7,3,5,4,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,2,7,4,3,6] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,7,2,8,4,3,6] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,8,5,3,4,7] => ([(0,7),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,1,8,4,5,7] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[7,3,2,8,4,5,1,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,8,4,3,5,1,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,3,5,4,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,3,4,6,1,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,1,3,4,8,2,5] => ([(0,4),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,1,3,4,7,2,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,3,4,6,8,5] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,2,3,4,8,7,5] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,6,2,3,4,1,8,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,4,1,7,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,5,4,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,4,5,1,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,4,1,8,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,2,3,4,8,1,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,6,2,3,4,7,1,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,8,7,5,1,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,3,5,6,1,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,2,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,2,6,5,3] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,5,2,7,6,3] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,7,6,2,4,1,5] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,4,1,3,5] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,3,1,4,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,2,4,3,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,4,2,5] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,6,5,8,4] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,6,5,8,4] => ([(0,6),(1,3),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,8,5,7,3,4] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,1,8,5,7,3,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,3,8,5,2,7,4] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,7,1,6,8,5,4] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,2,6,7,5,8,1,4] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,7,6,2,1,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,6,8,2,3,7] => ([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,6,3,5,4,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,6,5,1,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,5,7,2,8] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,8,5,7,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,1,5,8,6,3,7] => ([(0,7),(1,6),(2,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[4,6,1,2,5,8,3,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,6,7,2,1,4,8,3] => ([(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,6,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,7,8,2,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,5,3,1,6,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,4,1,7,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,1,6,8,5,7,4] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,1,4,8,6] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,3,6,8,5] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,8,3,4,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,2,4,7,6,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,8,1,6,5,4,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,4,7,2,5,3,6] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,1,7,8,6] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,6,2,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,2,7,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,6,7,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,8,6,4,3,1] => ([(0,2),(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,7,5,3,8,4] => ([(0,7),(1,7),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,2,8,6,4,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,6,3,1,5] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,5,7,2,6,8,3] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,5,2,6,1,8,4] => ([(0,5),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,2,3,6,1,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,5,7,2,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,3,7,1,5] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,4,7,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,7,6,5,1,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,3,2,6,4] => ([(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,3,2,1,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,1,7,5,4,3] => ([(0,1),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,4,7,2,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,3,7,6,1,4] => ([(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,8,4,7,6,1,5] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,4,2,7,6,3] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,8,2,3,7,6,4] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,8,4,3,7,6,5] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,1,2,7,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,3,2,7,5] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,4,3,2,1,7] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,8,6,5,4,3] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,8,6,2,5,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,8,6,2,5,4] => ([(0,1),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,8,7,6,1,4] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,8,7,6,1,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,7,2,6,5] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,4,8,2,7,5,3] => ([(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,3,7,1,6] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,8,2,5,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,8,2,1,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,8,6,1,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,8,6,5,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,8,6,5,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,8,6,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,5,4,8,2,7,3] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,4,8,2,7,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[7,6,2,4,3,8,1,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,3,8,6,4] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,3,8,1,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,4,3,2,8,6] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,6,7,8,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,1,4,2,6,8,7,5] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[8,3,4,2,6,1,7,5] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,3,5,4,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,3,5,4,1,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,8,3,5,4,1,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,2,8,5,3,6] => ([(0,4),(0,7),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,1,2,7,5,3,6] => ([(0,5),(0,7),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,7,5,4,8] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,6,8,4,5] => ([(0,3),(1,7),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,2,8,1,4,5] => ([(0,1),(0,2),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,4,2,6,1,8,5] => ([(0,4),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,8,5,3,6] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,1,5,3,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,6,5,3,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,1,5,6,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,1,5,8,3,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,1,6,8,3,2] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,7,6,8,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,7,5,3,8] => ([(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,6,5,4,8] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,2,6,5,3,7] => ([(0,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,1,2,8,5,3,7] => ([(0,5),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[8,4,3,1,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,8,6,7,2] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,6,3,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,3,4,8,6,7,2] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,3,8,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,3,4,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,2,1,5,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,2,5,1,4,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,2,5,1,4,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,4,6,8,3,2] => ([(0,6),(0,7),(1,3),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,4,7,6,8,2] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,7,5,3,8] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,1,6,8,2] => ([(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,5,4,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,1,5,3,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,5,4,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,5,4,3,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,6,5,1,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,5,3,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,6,1,5,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,8,6,5,4,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,6,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,1,3,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,1,5,3,2,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,3,2,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,5,3,2,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,5,2,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,5,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,1,5,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,2,1,5,4,3,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,6,1,4,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,7,4,3,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,2,1,5,4,3,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,1,5,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,5,1,3,4,6] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,5,2,3,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,7,1,5,4,3,6] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,7,4,3,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,7,4,3,2,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,7,3,2,6,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,3,2,6,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,2,6,1,5,7,3,4] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,7,2,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,1,8,2,3,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,5,1,8,3,4] => ([(0,3),(0,4),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,6,8,2,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,1,8,2,3,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,4,1,8,2,3,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,8,2,3,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,7,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,1,3,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,8,4,1,3,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,4,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,7,3,2,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,7,3,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,1,8,4,3,6,2,5] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,8,6,4,2,5] => ([(0,2),(0,7),(1,3),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,4,6,2,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,1,7,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,8,1,7,2,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,8,1,2,7,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,3,1,8,5,6,2,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,3,1,5,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,7,3,2,6,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,4,1,7,3,2,6,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,4,7,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,1,3,6,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,8,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,3,6,7,1,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,3,6,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,3,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,6,8,1,4,7] => ([(0,6),(1,4),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[3,5,2,4,6,8,1,7] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,7,3,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,6,8,1,7] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,6,8,1,3,7] => ([(0,4),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,1,3,4,6,8,2,7] => ([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,6,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,7,2,8,1,6] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,7,2,6,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,2,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,1,7,8,2,5] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,5,1,7,8,2,6] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,3,4,8,2,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,3,4,6,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,1,3,6,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,1,5,8,2] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,5,1,7,8,2] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,6,7,4,8,2] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,7,3,4,8,2] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,3,5,8,2] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,3,4,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,7,4,5,8,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,7,4,8,1,3,5] => ([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,6,1,2,7,8,4] => ([(0,7),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(5,6),(6,7)],8)
[3,5,2,6,1,7,8,4] => ([(0,6),(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,5,2,6,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,6,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,6,1,7,8,4] => ([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[5,2,6,1,3,7,8,4] => ([(0,6),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,2,6,7,3,5,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,4,5,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,8,1,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,4,8,1,5,6] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,6,8,1,3,5] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,4,6,8,2,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,4,6,8,1,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,7,2,6,8,1,4] => ([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,3,7,2,5,8,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,5,7,2,8,1,4] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,5,7,2,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,5,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,5,1,7,8,3] => ([(0,6),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,2,5,6,8,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,7,5,8,1,3,4] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[4,6,7,1,2,5,8,3] => ([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,4,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,1,7,8,3] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,6,2,7,8,3] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,1,2,7,8,3] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,2,7,8,3] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,7,8,2,4] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,2,8,1,3,4] => ([(0,3),(0,4),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,7,1,3,4,8,2] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,7,1,3,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,4,6,3,1,7,8,2] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,3,2,4,8,1,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,6,1,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,2,1,6,3,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,4,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,3,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,1,8,3,6] => ([(0,1),(0,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,1,6,8,3] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,1,6,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,5,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,3,7,4,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,7,3,1,4,8,2] => ([(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,4,1,5,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,2,1,5,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,7,3,1,8,2,4] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,6,3,7,8,1,2,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,3,7,2,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,7,2,3,8,1,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,2,8,1,3,6] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,2,4,8,1,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,2,1,3,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,1,2,8,5] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,4,1,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,5,1,8,4] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,3,2,7,8,1,4] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,3,2,7,4,8,1] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,2,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,2,7,8,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,2,6,1,8,3] => ([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,5,6,1,2,8,3] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,2,1,3,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,5,1,2,8,4] => ([(0,4),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,7,4,1,2,8,3] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,4,1,8,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,4,2,7,8,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,7,2,1,8,3,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,2,1,4,8,3] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,8,5,6,1,4,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,5,8,6,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,5,8,6,1,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,7,3,8,6,4,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,8,6,3,4,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,8,3,6,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,8,1,6,4,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,8,1,5,6,3,4,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,5,6,3,4,2] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,6,3,4,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,3,6,4,2] => ([(0,5),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,8,5,6,4,2] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,8,5,6,4,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,5,8,6,4,2] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,3,8,6,4,2] => ([(0,5),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,3,8,6,4,2] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,3,6,4,2] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,1,6,4,2] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,8,6,4,2] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,1,8,6,4,2] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,3,8,6,4,2] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,8,6,4,2] => ([(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,6,1,4,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,7,5,8,1,6,4,2] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,5,8,3,6,4,2] => ([(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,5,3,6,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,6,3,1,4,2] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,8,6,1,3,4,2] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,8,1,6,3,4,2] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,8,1,5,6,4,2] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,3,5,6,4,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,8,5,6,4,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,8,5,6,4,2] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,8,3,6,4,2] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,8,6,3,4,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,8,6,3,4,2] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,6,3,4,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,5,1,6,3,4,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,1,3,6,4,2] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,1,8,3,6,4,2] => ([(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,8,6,4,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,3,8,6,4,2] => ([(0,4),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,8,6,4,2] => ([(0,1),(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,8,6,4,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,7,8,6,4,2] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,8,6,4,2] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,7,8,6,4,2] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,8,6,4,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,8,5,6,4,2] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,1,5,6,4,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,3,5,6,4,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,3,8,5,6,4,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,5,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,7,8,6,4,2] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,8,6,1,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,4,8,1,6,2] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,3,4,1,8,6,2] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,4,6,2,8] => ([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,4,8,6,2] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,1,2,6,8] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,7,1,4,2,6,8] => ([(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,7,1,4,2,8,6] => ([(0,1),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,5,1,2,8,6,4] => ([(0,3),(0,4),(1,2),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,5,1,2,6,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,8,1,2,6,4] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,7,5,1,2,6,8,4] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,3,5,2,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,3,8,4,1,6] => ([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,8,6,1,3,2] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,5,6,2,8,3,1,4] => ([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,5,8,3,1,6] => ([(0,4),(0,6),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,5,1,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,6,3,2,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,5,4,1,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,8,3,4,1,5] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,3,4,8,1,7,6] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,1,2,5,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,2,3,4,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,6,2,8,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,7,8,1,5,4,6,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,3,4,6,8,5,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,5,7,1,4,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,1,4,6,2,3] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,8,3,5,2] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,3,8,5,1] => ([(0,5),(0,7),(1,2),(1,4),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,4,6,7,3,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,6,3,1,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,6,7,2,4] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,4,8,5,3,1] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,6,7,5,1,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,6,3,5,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,5,8,1,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,4,6,3,2,1,8,5] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,1,8,6,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,2,3,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,1,7,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,2,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,8,7,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[7,6,8,1,3,5,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,7,5,2,3,1,8,4] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,5,1,8,3] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,1,8,5,7,3] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,6,8,4,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,4,1,5,3] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,5,3,1,4] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,6,8,5,4] => ([(0,1),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,8,4,6,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,8,3,6,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,4,1,5,7,2,8,3] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,8,1,2,5,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,7,8,6,3,5,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,4,3,2,8,5] => ([(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,4,2,1,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,1,5,7,8,3] => ([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,6,7,3,5,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,3,7,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,4,8,3,5,6,2] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,7,5,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,6,3,1,5,7,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,2,5,7,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,8,6,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,3,7,5,1,8,4] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,8,7,5,1,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,2,8,5,1,4] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,2,5,8,7,1,4] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,8,4,7,6,1,3] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,4,8,6,5,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,4,8,7,5,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,5,8,7,6,1,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,3,8,1,6,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,3,8,7,2,5,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,5,6,2,8,7,4] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[1,2,4,6,3,8,7,5] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,1,5,2,8,7,6,3] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,5,3,2,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,3,5,1,8,6,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,5,1,8,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[1,4,5,2,8,7,6,3] => ([(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,2,8,7,5,3] => ([(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,1,8,6,3] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,5,1,8,3] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,6,2,8,7,4] => ([(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,5,8,3,2,7,6,4] => ([(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,2,1,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,2,5,1,4,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,1,3,6,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,4,7,6,5] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,1,7,4,8,6] => ([(0,4),(1,2),(1,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[7,5,1,2,8,6,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,3,8,7,6,4] => ([(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,1,2,8,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,1,2,8,7,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,3,7,6,4] => ([(0,4),(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,6,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,7,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,4,1,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,7,5,8,4,2] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,5,8,6,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,4,1,5,8] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,6,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,7,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,5,6,3,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,7,6,4,5,1,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,2,8,3,7,4] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,6,5,2,1,4,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,3,1,4,5,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,3,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,6,4,5,1,3,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,6,4,1,3,8] => ([(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,7,5,8,4,2] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,6,8,5,2] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,3,7,5,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,8,6,3,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,6,3,7,5,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,4,7,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,4,3,6,5] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,6,8,4,7,2] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,7,1,4,3,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,7,2,1,5,4,3,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,4,6,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,3,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,2,7,1,5,6,8] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,3,8,2,1,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,7,3,1,4,6,8] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,2,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,2,8,4,6,5] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,5,8,6,7,3] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,3,8,2,1,4,7] => ([(0,3),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,7,1,3,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,2,7,1,3,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,6,3,1,8,4,5,2] => ([(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,1,8,5,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,8,6,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,8,3,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,6,1,4,3,7,5,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,3,7,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,1,3,8,4,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,1,7,4,6,2] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,1,7,5,4,6,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,4,6,5,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,6,3,5,4] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,6,4,3,5] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,7,4,5,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,4,1,8,5,7,3,6] => ([(0,4),(1,4),(1,6),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,7,6,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,1,8,5,3,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,5,4,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,6,5,4,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,8,7,5,6,3,2] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,2,6,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,2,7,1,6,4,3] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,5,8,3,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,7,5,2,1,4] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,5,2,1,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,5,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,2,6,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,2,3,4,6,1,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,6,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,5,1,6,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,3,4,8,7,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,3,4,6,8,1,7] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,8,5,7,6,1,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,6,4,5,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,3,7,5,2,1,6] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,5,8,6,3,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,7,3,6,4,2] => ([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,8,4,6,3,1] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,3,7,6,1,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,7,3,1,6,4,5] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,4,8,5,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,3,4,1,8,5,7] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[7,2,3,4,1,8,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[7,2,3,4,1,5,8,6] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,3,4,8,7,5,6] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,6,7,5,1,3,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,4,6,5,2,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,1,5,4,6,2,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,4,6,3,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,5,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,4,6,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,1,4,6,3] => ([(0,4),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,5,2,7,3] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,1,4,2,5,6,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,1,2,5,6,4] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,7,1,6,4] => ([(0,6),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,8,7,1,6,2,4] => ([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,8,6,7,5,1,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,2,7,5,3] => ([(0,3),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,8,2,6,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,8,7,1,5,6,3,4] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,7,2,6,4] => ([(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,3,7,2,5,6,4] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,3,5,6,4] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,3,5,6,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,7,4,1,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,6,7,5,1,3] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,2,7,5,6,1,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,1,7,5,2] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,4,7,5,1,6,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,5,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,6,2,3,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,1,5,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,7,2,5,3] => ([(0,1),(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,2,6,5,3] => ([(0,2),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,8,6,7,1,5,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,1,2,5,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,6,3,4,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,3,6,4,5] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,6,7,1,5,4] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,3,5,6,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,6,1,4,5] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,6,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,1,5,6,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,5,6,3,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,5,6,2,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,3,5,6,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,7,5,2,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,6,7,4,3] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,6,7,4,3] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,7,5,2,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,6,7,5,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,5,6,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,5,6,2,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,7,5,6,3] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,6,7,5,3] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,7,3,5,4] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,7,3,6,4,5] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,6,2,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,3,4,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,3,6,4,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,2,5,6,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,7,2,5,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,2,3,6,5,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,1,2,5,6,4] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,3,6,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,4,6,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,7,4,2,6] => ([(0,2),(1,4),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,4,5,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,3,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,3,5,4,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,5,8,4,6,3,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,7,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,6,3,2,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,6,2,3,5,8] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,7,1,8,6,2,5,4] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,7,6,4,5,2,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,5,8,4,2,6] => ([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,7,5,2,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,8,7,5,2,4,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,4,2,8,5,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,2,5,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,8,2,1,6,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,6,3,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,3,1,4,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,3,8,1,5] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,5,8,3,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,8,1,3,2,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,7,1,5,3,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,1,3,6,2,5] => ([(0,1),(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,3,4,6,2,8] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,4,2,3,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,3,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,6,1,3,2,7,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,1,3,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,7,2,3,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,3,1,2,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,2,5,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,8,2,3,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,2,8,3,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,1,8,3,5] => ([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,3,4,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,1,3,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,3,7,1,5,2,8] => ([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,2,5,6,1,3,8] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,1,5,7,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,7,8,2,5,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,6,4,2,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,8,2,4,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,6,7,5,3,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,7,2,4,1,5] => ([(0,4),(0,5),(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,8,7,2,6,4,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,8,6,2,4,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,8,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,5,2,4,3,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,8,7,1,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,3,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,8,6,2,4,1] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,8,2,7,1,3] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,7,8,2,6,4,1,3] => ([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,7,1,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,7,4,8,6,2,3,5] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,5,7,8,1,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,7,4,6,8,1,3] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,7,1,8,4,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,2,5,6,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[8,1,3,6,7,2,4,5] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,7,5,3,6] => ([(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,8,2,7,4,5] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,2,8,6,3,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,4,2,6,3,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,4,1,6,8,2] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,1,2,6,4,8] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,5,1,8,2,3,7,6] => ([(0,3),(0,4),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,1,8,2,6,3,5] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,1,2,3,8,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,5,1,3,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,3,2,5,4,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,4,3,5,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,3,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,4,3,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,4,1,5,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,6,5,7,3,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,1,4,2,7,3,8] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,4,1,5,3,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,4,3,5,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,3,1,5,4,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,5,4,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,6,5,7,3,8] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,5,2,6,4,7,3,8] => ([(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,4,7,3,8] => ([(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,7,4,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,4,3,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,6,1,7,3,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,6,3,7,2,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,1,7,2,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,4,1,7,2,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,1,4,3,7,2,8] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,1,3,2,7,4,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,7,1,3,2,8] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,4,5,1,3,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,5,8,1,3,2,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,1,3,2,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,7,1,3,2,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,6,1,3,2,7,5,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,3,6,2,7,5,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[3,4,1,6,5,7,2,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,2,3,1,7,6,8] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,3,7,6,8,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,7,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,7,2,3,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,4,6,1,7,2,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,6,4,7,2,8] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,6,4,7,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,6,2,7,4,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,6,1,7,4,8] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,5,2,6,4,7,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,2,6,1,7,5,8] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,6,2,3,1,7,5,8] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,1,7,5,8] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[2,5,3,6,4,7,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,6,1,7,4,8] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,2,7,5,4,8,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,7,3,8,2,5] => ([(0,4),(0,6),(1,3),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,4,3,8,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,6,4,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,2,8,3,6,4] => ([(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,7,3,1,8,4,6] => ([(0,7),(1,2),(1,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,5,6,8,4,3,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,2,8,5,4,6] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,7,1,8,3,5] => ([(0,4),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(6,7)],8)
[1,5,4,3,6,8,2,7] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,5,7,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,8,4,7,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,8,7,3,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,2,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,7,5,8,3,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,8,4,2,6,3] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,1,8,6,2,5] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,6,8,5,7,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,3,1,8,6] => ([(0,3),(1,6),(1,7),(2,4),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,8,1,7,4,3] => ([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,5,6,1,8,7,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,6,2,1,7,5,8] => ([(1,2),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,2,1,7,5,8] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,7,6,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,6,1,7,5,8] => ([(1,3),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,6,4,7,8] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,6,2,7,4,8] => ([(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,6,3,2,7,4,8] => ([(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,1,7,5,3,2,8] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,2,1,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,4,1,7,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,6,3,7,4,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,6,3,1,7,4,8] => ([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,3,1,7,8,5] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[3,6,2,1,7,4,5,8] => ([(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,2,7,4,1,5,8] => ([(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,8,6,4,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,1,3,6,5,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,1,3,7,5,4,8] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,6,2,7,4,3,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,1,6,4,3,7,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,2,1,6,3,7,8] => ([(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,3,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,2,7,3,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,6,4,2,7,3,8] => ([(1,7),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,5,4,3,7,8] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,2,5,4,7,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[5,1,6,4,3,2,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,3,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,1,6,2,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,5,4,8,2] => ([(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,1,5,4,3,6] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,6,5,8,1,3] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,2,6,5,4,1,7] => ([(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,1,5,4,6,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,1,4,3,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,7,6,8,4,1,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,7,2,5,4,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,8,4,3,2] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,5,6,3,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,5,1,3,4] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,7,4,1,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,5,6,1,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,4,3,2,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,2,6,7,1,5,8] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,6,5,2,4,8] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,4,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,2,4,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,2,5,4,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,5,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,7,1,3,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,6,3,5,2,8] => ([(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,7,2,6,1] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,7,8,2,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,2,7,6,3,5] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,1,8,6,2] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,3,6,1,5,4,2] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,7,4,6,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,1,7,8,3,6] => ([(0,1),(0,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,5,2,1,6] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,2,1,8,3,5] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,3,5,8,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,1,7,5,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,4,2,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,4,7,6,5] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,6,5,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,1,4,7,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,7,3,6,2] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,8,5,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,2,7,5,4] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,3,8,2,6,4] => ([(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,4,1,8,5,3] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,7,5,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,1,3,8,6,4] => ([(0,4),(1,5),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,4,3,8,2,5] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,4,8,6,5,1] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,8,7,6,1,5] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,3,2,7,8,6] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,2,4,1,6] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,6,2,4,1,8,5] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,2,5,7,4,3] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,2,5,8,4,3,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,8,4,3,1,6] => ([(0,2),(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,7,8,4,2,6] => ([(0,3),(0,4),(1,2),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,1,3,8,5] => ([(0,4),(1,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,6,3,2,8,5] => ([(0,3),(1,2),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,7,6,3,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,7,5,2,8,4] => ([(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,5,3,1,8,4] => ([(0,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,7,4,6,3] => ([(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,8,4,6,3,1] => ([(0,3),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,8,4,6,2] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,7,4,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,2,1,7,4,8,3] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,2,1,8,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,6,4,8,3,7,2,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,3,4,2,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[7,8,3,5,1,4,2,6] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,7,1,8,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,2,4,3,8,1,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,3,8,6,7,1,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,8,3,6,1,7] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,5,6,4,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,6,4,7,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,6,4,8,1,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,3,1,6,4,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,7,2,4,3,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,7,1,5,3,8] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,6,2,5,3,8] => ([(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,1,5,3,6,2,8] => ([(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,1,7,2,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,5,1,4,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,7,1,4,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,1,6,3,4,2,8] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,5,6,3,4,2,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,4,7,2,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,6,4,8,2,3] => ([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,8,1,7,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,7,1,4,2,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,4,2,8,6,7] => ([(0,5),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(6,7)],8)
[4,6,5,8,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,8,2,3,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,2,6,5,8,1,7] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,4,6,2,8,1,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,4,7,2,6] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,7,1,8,5,6] => ([(0,1),(0,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,2,3,1,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,3,8,1,7,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[2,5,3,8,4,7,1,6] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,8,1,7,4,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,1,8,3,6,4,5] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,1,8,7,6,2,3] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,8,2,6,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,8,3,7,4,1] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,7,4,5,2] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,4,8,7,2,5,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,4,7,3,5,2] => ([(0,6),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,7,1,4,2] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,8,2,5,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,5,2,8,6,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,3,7,4,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,4,2,7,5,1] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,7,5,8,6,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,3,8,6,4,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,3,7,4,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,7,3,6,4] => ([(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,5,3,7,2,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,3,7,4,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,2,6,4,1] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,3,8,6,4,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,4,8,5,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,8,6,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,8,1,6,3,2] => ([(0,1),(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,7,8,5,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,7,4,5,8,3] => ([(0,6),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,8,3,4,1,6,7] => ([(0,6),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,7,4,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,2,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,3,8,5,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,4,5,3,7] => ([(0,7),(1,2),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,8,4,3,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,7,8,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,7,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,4,8,5,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,6,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,8,3,6,4,7] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,5,8,3,4,7,6] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,1,2,3,5,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,7,3,6,8,4] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,8,4,5,2,7,3] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,2,3,7,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,7,6,2,8,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,2,3,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,2,3,6,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,6,5,3,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,8,2,1,4,3,7,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,2,4,3,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,2,8,3,7,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,4,5,8,3,7,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,3,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,5,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,3,8,5,7,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,4,3,6,5,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,5,2,1,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,6,8,7,5,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,6,8,7,4,5,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,8,6,5,7,1,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,6,4,5,1,3,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,1,4,6,7] => ([(0,7),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,3,5,1,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,4,8,3,5,6,1] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,4,3,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,1,5,3,6,7] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,2,3,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,3,2,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,4,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,4,2,1,5] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,4,3,5,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,4,3,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,8,3,5,2,6] => ([(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,8,1,5,6,2,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,4,3,5,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,3,1,8,4,5,2] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,8,4,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,4,8,3,5,2] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,1,3,8,2,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,8,4,3,2,5] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,8,4,5,3,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,7,1,8,4,3,5] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,7,8,4,3,1,5] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,4,3,5,1] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,4,8,3,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,7,4,8,3,1,5] => ([(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,3,6,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,8,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,7,1,8,5,3,4] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,7,8,5,3,1,4] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,8,5,3,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,4,5,3,1] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,8,4,5,6,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,2,8,4,5,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,8,1,5,6,2,4] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,8,1,5,2,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,2,8,5,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,8,4,2,5,3] => ([(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,6,5,8,4] => ([(0,7),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,7,3,8,5] => ([(0,7),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,5,3,6,4,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,6,7,4,8,3] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,7,3,2,6,8] => ([(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,7,3,2,5,8] => ([(1,4),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,1,8,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,8,3,5,2,6] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,8,6,2,3,5] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,5,7,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,5,8,7,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,7,6,2,3,5] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,3,5,2,6] => ([(0,5),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,3,2,5,8] => ([(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,7,5,4,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,1,5,3,7,2,4] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,2,4,1,6,3] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,4,8,6,2] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,3,4,7,6,2] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,4,1,6,3] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,5,6,4,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,5,6,4,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,5,4,7,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,8,4,6,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,4,3,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,4,3,1,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,1,2,4,5,7,6] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,1,8,6,4,2,5] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,4,3,7,5,8,2] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,6,7,5,8,4] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,6,4,2,5] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,4,3,1,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,3,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,6,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,3,2,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,4,6,8,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,3,6,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,5,4,8,6] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,5,8,4,7] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,2,3,5,7,4,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,2,3,7,6,4,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,1,2,3,8,6,4,7] => ([(0,7),(1,7),(2,7),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[1,5,6,3,4,7,8,2] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,2,4,7,1,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,5,3,1,8,4] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,3,8,6,1] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,4,5,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,2,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,3,1,5,8,7] => ([(0,1),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,4,5,8,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,5,7,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,6,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,3,2,8,6,1,5] => ([(0,1),(0,3),(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,5,1,8,6,2] => ([(0,4),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,2,6,7,4,5,1] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,6,7,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,2,4,6,7,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,1,3,4,2,7,5] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,4,3,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,7,6,8,5,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,6,1,8,5,2,4] => ([(0,2),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,3,8,5,1,6] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,3,6,4,8,5,2] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,8,5,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,7,8,5,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,8,4,5,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,6,8,4,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,7,1,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,5,1,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,8,3,6,7,1,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,8,4,6,7,2] => ([(0,3),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,4,5,2,7] => ([(0,6),(1,2),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,3,5,2,7,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,2,4,1,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,3,5,6,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,3,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,4,8,3,1,6] => ([(0,4),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,2,1,4,6,5] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,2,8,4,1,6] => ([(0,5),(0,7),(1,2),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,4,1,8,7,5] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,8,5,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,4,2,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,4,1,8,2,5,6] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,8,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,4,2,6,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,1,5,6,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,4,5,7,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,1,6,3,7,5,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,1,6,3,5] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,7,4,1,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,7,6,4,2] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,8,1,3,6,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,2,8,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,7,5,2,4] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,6,5,7,2,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,4,8,2,3,7] => ([(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,8,3,4,2,7] => ([(0,6),(1,5),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,5,1,7,4,3,8] => ([(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,8,7,4,3,6] => ([(0,5),(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,2,6,3,8,1,4,7] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,3,4,6,1,7] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,4,3,1,7,5] => ([(0,5),(0,6),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,1,3,6,5,4] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,1,4,6,2,5] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,8,5,4,6,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,4,6,3,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,4,1,2,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,4,3,6,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,5,2,7,4] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,4,7,6,5,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,4,6,7,5,2] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,1,7,6,4] => ([(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,2,5,1,6,7] => ([(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,5,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,4,6,5,7,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,4,5,7,6,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,4,7,8,3] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,2,7,6,3] => ([(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,2,3,7,5,6] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[5,3,8,7,2,1,4,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,5,1,4,8,2] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,4,2,6,3,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,6,8,3,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,6,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,4,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,6,2,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,6,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,4,7,2,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,2,7,4,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,8,5,2,4,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,5,3,8,1] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,5,1,4,8,3] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,7,8,4,6,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,8,4,6,2,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,4,6,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,3,7,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,6,2,1,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,7,2,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,2,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,8,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,4,7,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,8,7,5,4,2] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,1,7,6,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,7,6,3,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,6,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,8,4,5,1,3,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,3,7,5,6,2,4,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,4,3,5,2,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,2,3,7,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,3,6,7,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,3,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,3,2,1,6,4] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,2,8,4,1,5,6,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,5,8,1,2,6,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,6,7,4,3,2,8,5] => ([(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,6,4,7,8,3] => ([(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,6,2,3,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,7,1,4,8,3] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,4,3,8,1,7,2] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,8,5,2,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,3,6,5,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,5,4,6,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,8,3,4,1,7] => ([(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,7,3,4,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,5,7,4,1,3,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,5,8,4,1,3,7] => ([(0,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,6,1,3,5] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,8,3,7,4,5] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,8,5,4,7,3] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,5,7,8,1,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[1,5,4,2,6,7,3,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,5,7,3,8,1,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,2,7,5,8,4,3] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,8,5,6,4] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,4,8,7,3,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,5,2,1,8,7,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,7,8,4,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,8,4,7,1] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,3,8,7,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,1,2,3,8,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,1,4,2,3,7,8,6] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,2,6,3,8,7] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,3,8,2,7,4] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,7,6,2,5,4,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,4,1,6,3,8] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,7,3,1,5,6,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,3,4,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,4,2,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,3,8,5,2,7,4] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,3,7,1,6,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,3,7,5,1,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,3,4,8,6,2,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,3,4,8,1,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[8,7,3,2,1,6,5,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,7,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,5,3,7,1,6] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,5,3,7,6] => ([(0,5),(1,2),(1,7),(2,7),(3,5),(3,6),(4,6),(4,7),(6,7)],8)
[2,4,8,6,3,1,7,5] => ([(0,7),(1,4),(1,7),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,2,1,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,4,1,5,8,2,7,6] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,1,4,5,3,2,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,5,2,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,6,2,1,8,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,4),(4,5),(5,6),(5,7),(6,7)],8)
[3,5,6,2,1,7,8,4] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,4,6,2,7,8,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,1,4,6,3,7,2,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,3,7,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,1,7,4,8] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,1,5,6,7,3,4,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,6,7,3,2,4] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,6,8,7,2,5] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,6,1,8,7,2,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,1,3,8,6,7,4,5] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,2,6,7,5,4] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,6,7,1,5,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,6,7,5,3] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,1,7,4,3] => ([(0,4),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,5,6,1,8,7,4,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,4,1,6,8,7,5,2] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,1,4,6,2,7,5,3] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,6,7,8,4,2] => ([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,6,1,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,1,7,3,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,6,7,4,8,2] => ([(0,7),(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,1,5,6,7,4,2,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,6,7,4,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,6,7,4,2,8] => ([(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,6,1,7,3,2,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,8,5,1,3] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,4,8,7,5,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,8,7,5,2,3] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,2,4,7,3,5] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,4,7,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,1,4,8,3,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,7,8,5,2,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,2,4,8,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,3,4,8,2,5] => ([(0,6),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,4,7,2,5] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,3,4,7,2,5] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,4,8,3,6] => ([(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,5,4,8,3,6] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,4,8,3,6] => ([(0,3),(1,2),(1,7),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,4,7,1,5] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,1,4,7,3,5] => ([(0,4),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,4,8,3,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,5,4,8,3,6] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,4,8,1,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,7,3,1,6] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,4,8,1,6] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,2,4,7,1,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,5,4,8,1,6] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,5,4,8,2,6] => ([(0,3),(1,2),(1,7),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,5,4,8,2,6] => ([(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,4,7,3,2,6] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,7,3,2,6] => ([(0,4),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,2,4,7,3,1,6] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,3,7,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,5,6,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,7,3,1,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,7,3,2,6] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,7,3,2,6] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,4,8,2,6] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,4,7,2,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,7,5,1,3] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,7,2,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,7,8,5,6] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[1,4,3,2,7,8,5,6] => ([(1,6),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[2,4,3,1,7,8,5,6] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[2,7,3,5,4,8,1,6] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,7,3,1,6] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,7,3,1,6] => ([(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,5,4,8,1,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,7,8,5,6] => ([(1,6),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[8,1,7,6,4,3,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,2,7,1,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,4,3,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,2,5,1,6,3,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,5,2,1,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,5,2,1,7,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,5,2,1,8,4] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,4,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,8,2,6,4,1,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,2,5,1,8,3,7] => ([(0,1),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,5,2,1,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,3,1,4,7] => ([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,8,1,4,7,6] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(6,7)],8)
[2,3,6,8,1,5,7,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,5,2,7,1,4] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,5,2,1,4,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,6,3,1,4,8] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,3,1,5,4] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,7,6,3,1,4] => ([(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,6,5,7,3] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,7,3,6,1,4,5] => ([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,1,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,8,1,4,7,5] => ([(0,6),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,7,8,6,3,1,4,5] => ([(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,5,2,1,4,6] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,6,1,8,4,7,5] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[2,8,6,3,1,4,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,1,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,3,7,5,6] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,8,1,7,3,6,4] => ([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,5,7,3,6,4] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,4,7,5,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,1,5,7,3,4] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,1,5,8,3,4,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,8,1,2,6,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,3,6,1,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,6,5,2,3] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,8,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,4,5,1,7,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,7,6,2,3,4] => ([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[8,5,1,6,2,7,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,7,5,2,3] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,8,7,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,1,2,5,3] => ([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,3,7,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[6,4,7,1,2,8,5,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,7,3,8,4] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,2,7,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,1,8,7,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,2,8,3,4] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,2,3,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,6,8,7,4,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,5,7,4,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,1,5,2,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,5,3,6,2,8] => ([(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,2,3,6,7,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,8,3,4,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,3,6,8,5] => ([(0,5),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(6,7)],8)
[4,6,2,1,5,7,8,3] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,5,2,3,1,7,8,6] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,7,4,1,8,5] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,7,1,4,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,8,1,7,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,8,3,4,7,1,5] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,7,5,1,3,8] => ([(1,2),(1,5),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,3,1,8,4,5,7] => ([(0,5),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(6,7)],8)
[2,4,3,7,8,1,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,2,7,4,8,1,6] => ([(0,1),(0,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,2,7,6,8,4,3] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,1,8,7,4,5] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,5,6,4,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,4,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,7,8,6,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,2,5,7,3,6] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,8,4,7,2,5,6] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,3,8,4,1,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,4,1,5,3,8,7] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,4,1,8,5] => ([(0,4),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,4,1,7,6,8,3] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,4,7,8,3,5] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,5,1,7,8,3,4] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,2,1,6,3,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,7,8,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[5,8,3,1,7,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[6,8,3,1,5,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,4,2,6,3,8] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,2,5,1,7,4] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,8,4,3,1,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,4,2,1,5,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,7,3,2,4,6,8] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,8,3,6,7,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,8,1,6,2,7,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,8,5,7,3,6] => ([(0,6),(0,7),(1,2),(1,4),(2,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,1,7,4,5,8] => ([(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,7,5,3,8] => ([(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,8,6,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,7,6,1,4,8] => ([(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,6,1,4,7] => ([(0,6),(1,2),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,8,7,1,4,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,8,1,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,3,8,7,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,4,7,3,6] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,6,2,7,5,8] => ([(1,4),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[5,4,1,7,2,8,6,3] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,7,8,4,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,1,6,7,3,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,2,1,7,8,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,6,7,8,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,6,1,4,5,7,2,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,3,7,4,6,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,5,4,7,3,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,3,7,4,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,4,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,3,6,1,8] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,3,6,1,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,3,8,4,7,2,1] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,4,3,7,1,6] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,3,7,4,1,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,2,7,3,1,8,6] => ([(0,1),(1,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,1,2,8,5] => ([(0,2),(1,2),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,8,1,2,7,5] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,8,4,2,1,5] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,1,6,3,4] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,8,4,3,1,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,3,8,4,2,6,1] => ([(0,2),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,3,1,5,8] => ([(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,8,2,3,5,1] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,2,5,3,4] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,1,7,8,4,6,2] => ([(0,4),(0,6),(1,2),(1,3),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,8,4,6,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,3,8,7,2] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,8,2,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,7,8,4,2,5] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,7,3,8,2,6] => ([(0,2),(0,7),(1,4),(1,5),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,8,4,1,5] => ([(0,3),(0,4),(0,6),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,4,3,2,8,7] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,3,5,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,5,7,3,4,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,7,6,2,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,6,2,5,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,3,5,2,8,4,7] => ([(0,3),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,7,4,2,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,5,2,1,6] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,5,3,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,8,3,5,1] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,1,4,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,6,1,3,2,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,2,1,3,8,4,6] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,3,1,5,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,6,3,8,2] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,5,6,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,7,5,6,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,7,6,2,8,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,6,7,1,4,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,7,6,1,3,4,8,5] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,1,6,3,8,4] => ([(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,7,2,5,6,3,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,7,1,4,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,5,3,8,1,6] => ([(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,3,2,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,8,6,5,7,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,8,4,3,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,2,4,7,3] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,6,2,4,7,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,3,2,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,4,5,2,8,6,7,3] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,7,8,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,6,2,8,1,4] => ([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,5,6,1,2,8,7,3] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,1,2,8,6,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,6,8,4,7,5] => ([(0,5),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(6,7)],8)
[5,1,3,2,7,8,4,6] => ([(0,7),(1,4),(1,5),(2,3),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,5,4,2,7,8,3,6] => ([(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,7,8,3,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,2,8,4,3,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,6,3,4,7,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,4,3,2,7,1] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,1,7,2,4,6] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[3,6,7,8,4,2,1,5] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,4,3,7,2] => ([(0,5),(0,6),(1,2),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,2,1,7,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,3,1,6,7,4] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,8,1,2,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,2,8,1,5,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)
[1,5,8,3,2,6,7,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,3,8,6,2,4,7,5] => ([(1,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,8,4,6,1,5] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,3,4,6,7,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,2,1,6,3,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,6,3,4,7,5] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,2,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,5,8,1,3] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,2,6,3,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,3,6,1,7] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,1,2,6,4,7] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,6,1,3,5,2,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,6,4,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,1,3,4,2,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,8,4,6,1,3,2,7] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,5,2,8,1,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,3,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,3,7,8,5,1] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,8,3,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,2,1,7,8,4,5,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,1,5,4,8,2] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,1,7,8,3] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,5,6,8,2,3] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,6,5,8,2,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,2,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,4,2,8,3] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,1,2,6,5] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,5,7,8,1,4,2] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,5,7,1,8,4,2] => ([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,4,7,8,2,1,3,5] => ([(0,3),(0,4),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,3,8,4,1,2,5] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,3,4,6,1,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,4,1,3,2,6] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,5,8,3,1,2,6] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,4,8,1,2,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,1,6,8,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,1,8,6,4,5] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,3,1,5,7,6] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,8,1,2,4,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,6,8,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,6,1,7,3] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,5,2,7,6,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,4,1,2,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,3,5,2,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,3,6,8,1,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,5,3,2,7,6,1,4] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,5,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,7,6,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,5,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,1,6,2,7,4] => ([(0,3),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,1,3,6,8,7,4] => ([(0,7),(1,6),(2,3),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,6,1,3,7,8,2] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,1,4,8,2] => ([(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,4,6,8,1,5,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,8,4,1,5,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,5,4,2,1,6,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,5,1,8,4,3] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,2,5,8,4,7] => ([(0,5),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,5,8,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,6,4,5,8,3,7] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,4,6,8,3,7] => ([(1,7),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,8,2,4,7] => ([(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,5,1,4,8,3,7] => ([(0,4),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,6,1,4,8,3,7] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,1,8,4,7,3,6] => ([(0,2),(1,5),(1,7),(2,4),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,1,4,3,6,8,5] => ([(0,5),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,7,5,8,2,4,6] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,5,7,3,4,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,4,8,1,3,7,6] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,4,1,3,8,6,7,5] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[8,4,3,7,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,8,2,6,4] => ([(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,2,6,7,3,5] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,7,2,4,5] => ([(0,1),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,1,6,8,3,4,5] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,6,8,2,4,5] => ([(0,1),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,7,2,6,8,3,5] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[5,1,7,2,3,6,8,4] => ([(0,6),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,2,1,6,3,5,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,7,3,5,8,4] => ([(0,6),(1,3),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,2,5,3,6,8,4] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,2,7,8,3,6] => ([(0,1),(0,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,4,6,7,5] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,4,6,8,5] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,3,4,7,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,1,2,7,4,6] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,8,1,2,4,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,3,8,7,2,6,5] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,8,2,6,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,4,6,8,2,3,7,5] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,5,8,1,7,2,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,1,7,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[6,1,5,8,2,3,7,4] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[1,8,3,2,7,5,6,4] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,8,5,6,4] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,3,8,1,5,4] => ([(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,1,7,3,6,2,5] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,6,1,5,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,8,7,1,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,1,7,8,4,2,6,3] => ([(0,5),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,4,2,6,3] => ([(0,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,3,6,5,1] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,8,5,3,6,2] => ([(0,2),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,8,3,6,2] => ([(0,5),(1,2),(1,4),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,7,5,3,6,2] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,3,6,5,1] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,3,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,3,7,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,4,3,8,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,7,3,5,4,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,7,2,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,2,4,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,8,2,4,5,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,2,4,5,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,4,2,3,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,2,5,4,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,1,2,3,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,1,6,2,8,7] => ([(0,4),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,7,1,6,2,5] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,1,8,5,2,7] => ([(0,5),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,2,7,1,6,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,7,5,3,4,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,3,6,4,5] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,8,2,4,7,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,8,7,3,4,6] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,2,7,4,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,2,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,1,8,3,5,4] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,5,4,8,3,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,2,6,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,7,1,6,5] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,3,8,5,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,2,7,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[3,8,1,4,7,5,2,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,7,4,5,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,4,8,5,2,3,7] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,4,6,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,2,3,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,4,6,2,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,3,5,2,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,4,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,6,5,3,1,7,4] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,5,2,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,6,4,3,7,5] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,6,5,3,8,4] => ([(0,4),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,3,5,8,4] => ([(0,5),(1,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,4,6,1,8,3] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,1,2,5,8,3] => ([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,7,6,8,5,3] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,7,8,5,6,2] => ([(0,2),(0,7),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,3,1,8,6,2] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,7,3,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,6,1,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,5,4,1,7,8,2] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,3,6,7,5,8,2] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,2,4,5,8,3,6] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,5,8,3,2,6] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,4,7,8,3,5,1] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,7,8,3,5] => ([(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,4,7,8,3,5,2] => ([(0,6),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,7,8,1,5,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,3,6,7,1,8,2,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,4,7,8,1,2,5] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,4,7,2,8,5] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,4,7,2,8,5,1] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,4,2,7,8,6] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,1,3,7,8,6] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,3,8,2,5,4] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,4,7,8,5,2,3] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,2,1,7,8,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,3,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,3,2,5,1] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,5,4,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,5,3,2,7] => ([(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,4,1,3,2,7] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,4,5,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,7,1,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,1,6,2,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,7,4,1,2,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,2,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,8,1,2,7,4,5,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,4,1,3,7,2] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,1,6,3,2] => ([(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,7,3,6,4,1] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,5,6,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,4,8,5,6,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,8,5,2,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,8,4,6,2,3] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,7,2,1,4,5] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,3,7,8,5,6,1,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,6,8,5,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,7,8,5,1,3,4] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,1,6,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,8,2,6,3,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,3,4,1,5,7,6] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,1,2,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,1,5,2,3,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,8,3,2,7,6,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,1,8,6,7,4] => ([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,5,3,2,8,6,7,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,6,1,4,7,2] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,5,6,1,4,7,3] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,6,1,5,2,7,3] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,3,7,6,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,5,3,2,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,8,5,1,7,3] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,8,5,2,1,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,5,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,5,6,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,8,6,1,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,1,3,8,6,7,4] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[4,5,1,2,8,6,7,3] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,4,8,1,3,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,5,4,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,4,8,5,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,5,7,2,4,8,3] => ([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,1,2,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,3,1,2,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,2,1,5,3] => ([(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,5,7,1,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,5,8,3,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,3,5,8,2] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,6,4,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,2,1,3,8,6] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,3,6,4,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,7,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,4,8,3,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,8,6,3,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,5,4,8,3,2] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,1,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,5,8,4,6] => ([(0,5),(1,3),(1,7),(2,5),(2,7),(3,6),(4,6),(4,7),(6,7)],8)
[4,8,7,6,1,2,5,3] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,3,2,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,7,4,1,3,5] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,4,2,3,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,1,6,5,4,7] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,1,2,5,7,4,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,2,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,1,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,7,3,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,3,7,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,3,8,7,5,6,2] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,4,8,1,3,5] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,4,5,2,1,6,3,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,8,1,7,5] => ([(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[7,1,5,6,3,8,2,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,2,4,7,8,3,6] => ([(0,7),(1,7),(2,3),(2,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,4,2,8,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,3,8,4,2,7,6] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,8,7,3,5,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,8,4,3,6,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,8,7,4,1,2,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,1,7,3,2,4] => ([(0,3),(0,4),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,6,8,7,4,2,5] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,8,2,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,8,4,3,1,2,7] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,3,6,7,4,1] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,7,4,6,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,3,7,4,2,6] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,1,5,6,4] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,3,6,4,1,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,2,3,4,7,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,8,4,2,6,3] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,2,7,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,5,4,8,3,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,4,6,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,4,3,5,8,6] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,8,4,6,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,8,1,5,4,2] => ([(0,1),(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,1,6,3,8,5] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,3,1,7,5,2,6] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,6,8,5,2] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,1,6,5,2] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,4,3,6,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,5,4,1,2,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,5,6,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,3,4,6,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,4,5,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,2,1,4,8,5,7] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,1,4,7,8,5] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,1,3,6,4,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,5,4,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,2,4,8,5,6,3] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,4,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,4,3,2,8,7] => ([(0,4),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,4,6,5,2] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,6,4,7,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,7,5,8,3,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,7,5,2,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,1,5,8,4,3] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,5,4,3,2] => ([(0,1),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,6,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,6,1,8,5,4,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,1,7,4,3,2] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,4,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,3,2,5,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,5,6,2,4,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,5,6,2,3,7] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,8,5,3,7,4,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,4,8,2,3,5,7] => ([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,5,6,1,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,4,7,3,6] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,2,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,4,2,5,3,8,6] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,2,1,3,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,8,5,7,1,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,6,2,1,5,8] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,4,1,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,5,6,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,4,3,1,5,6,8] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,2,3,1,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,2,4,1,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,2,8,4,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,4,8,3,5,6] => ([(0,1),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,8,6,1,3,4,7] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[2,8,3,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,8,2,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,3,1,5,6,8] => ([(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,2,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,4,7,1,3,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,7,4,1,8,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,5,1,8,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,3,7,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,8,2,5,7] => ([(0,3),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,8,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,8,1,3,5,7,2,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,4,1,3,6,2,5] => ([(0,4),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,8,1,3,7,2,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,3,6,1,8,2,4,7] => ([(0,5),(1,2),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,3,1,8,2,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,1,7,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,4,7,3,5,6] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,4,7,6,2] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,8,3,7,6,2] => ([(0,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,3,8,7,6,2] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,8,2,7,6,3] => ([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,5,3,1,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,8,1,7,6,3] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,5,2,1,8,7,6,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,2,7,8,1,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,6,2,8,7,1,5,3] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,8,6,3,7,1,5,2] => ([(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,6,3,7,5,1,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,2,7,5,1,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,8,7,5,1,3] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,7,4,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,2,3,1,8,4] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,2,8,3,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,6,7,2,1,8,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,2,1,3,8,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,6,1,7,8,2,4,3] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,2,4,8,3] => ([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,7,8,3,4,2] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,8,7,3,5,2] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,6,7,5,4,2] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,8,7,5,3,2] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,7,4,8,3,2] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,8,4,2,3] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,1,7,5,2,3] => ([(0,1),(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,6,1,7,5,3,2] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,8,3,2,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,3,8,2,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,1,3,2,8,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,6,7,3,1,2,8,4] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,3,8,1,2,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7)],8)
[5,6,8,7,4,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,3,8,2,1,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,3,5,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,6,3,2,5,7] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,3,8,5,2] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,1,5,8,4,2] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,5,7,3,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,6,3,1,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,8,6,3,2,7] => ([(0,5),(1,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,1,8,5,4] => ([(0,5),(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,7,5,1,6,8,2,3] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,1,2,7,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,4,8,7,6] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,4,1,3,2,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,6,8,7,5] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,4,8,3,7,1,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,1,8,2,5,3,6] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,4,1,8,5,3,7,2] => ([(0,3),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,1,3,5,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,7,8,1,6] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,4,3,7,8,1,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,2,5,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,7,6,5,8,2,4] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,5,6,8,3,4] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,4,7,2,8,3,5] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,1,7,6,8,4,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,4,7,1,5] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,5,3,7,2,4] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,3,6,7,1,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,2,7,6,1,4] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,3,1,8,6,2] => ([(0,2),(0,7),(1,3),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,8,1,7,2] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,6,1,8,7,4] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[1,6,3,5,7,2,8,4] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,6,7,8,2,3] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,6,5,7,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,6,8,1,3] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,2,6,8,7,1,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,4,3,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,5,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,3,8,1,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,3,5,6,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,3,5,6,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,7,8,5,2,6,4] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,7,5,8,2,6,4] => ([(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,7,5,8,2,6,4] => ([(0,1),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,7,1,8,4,6,2] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,7,8,1,4,6,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,1,8,4,6,2] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,1,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,2,5,1,3,8,7] => ([(0,1),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,5,1,3,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,3,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,8,1,7,3,4,6] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,7,3,1,4,5] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,2,3,7,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,2,7,4,5,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,7,3,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[4,2,3,8,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,8,3,7,1,4,6] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,8,4,6,1,3,7] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,5,8,4,3,6,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,3,2,7,1,4,6] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,3,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[3,5,8,2,7,1,4,6] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,2,6,1,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,3,7,1,4,5] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,7,2,4,6] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,8,4,6,2,3,7] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,1,6,2,3,7] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,6,2,3,7] => ([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,1,6,2,3,7] => ([(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,5,1,6,2,3,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,8,3,6,7] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,3,8,1,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,8,4,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,4,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,4,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,2,8,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,5,2,7,1,4,6] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,2,6,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,4,8,5,3,6,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,8,4,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,8,4,3,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,3,8,2,6,1] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,2,6,7,5,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,5,2,8,4,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,5,3,8,4,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,8,2,5,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,5,3,8,4] => ([(0,1),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,4,2,1,6,7,5] => ([(0,5),(0,6),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,1,2,4,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,8,1,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,3,4,8,2,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,3,4,8,1,5,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,4,8,2,3,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,7,5,1,3,8,4] => ([(0,6),(1,5),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,8,1,3,2,5] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,5,8,4,1,3,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,8,2,1,3,5] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,3,6,5,8,2,7] => ([(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,8,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,6,2,3,7,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,7,6,2,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,3,6,5,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,5,2,6,4] => ([(0,1),(0,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,7,2,5,3] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,3,8,4,6,5,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,5,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,7,2,6,4] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,8,7,4,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,5,7,3,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,6,5,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,6,7,3,5,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,5,4,6,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,5,6,2,4] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,6,4,2,3] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,6,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,2,6,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,5,6,3,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,4,5,6,3,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,2,6,3,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,1,4,6,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,5,1,6,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,4,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,4,8,1,5,3,7] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,5,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,8,1,4,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,8,2,6,3,7,5] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,1,4,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,8,1,5,3,7] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,2,8,1,5,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,5,8,4,3,2] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,8,4,5,3,7] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,8,5,3,4,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,8,5,4,1,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,7,8,4,3,2] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,6,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,4,5,6,7,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,4,8,6,5,3,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,6,5,3,7] => ([(0,6),(1,3),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,6,5,3,7] => ([(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,7,8,5,1,4,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,8,5,1,4,6] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,3,8,5,1,4,6] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,8,5,1,4,7] => ([(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,8,7,5,3,6] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,4,2,8,7,5,3,6] => ([(1,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,8,5,4,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,8,5,3,4,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,6,8,4,5,3,7] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,8,4,3,2] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,1,8,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,1,8,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,5,8,4,3,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,5,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,8,4,5,3,6] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,5,8,4,3,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,1,8,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,3,2,4,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,2,5,3,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,5,3,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,4,2,5,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,7,1,3,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,3,6,4,2,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,6,4,2,8] => ([(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,2,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,7,4,2,6] => ([(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,8,6,3,5,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,8,7,4,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,3,8,7,4,2] => ([(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,4,6,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,1,8,7,5,4,6] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,4,2,1,6] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,8,6,3,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,7,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,3,5,7,4,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,5,2,1,7,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,7,4,2,1,5] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,7,5,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,8,6,3,7,4,2] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,1,8,5,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,2,6,3,7,4,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,7,4,2,5,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,6,3,7,4,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,3,2,4,7,5] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,4,7,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,8,6,3,2,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,7,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,2,8,7,6,1,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,1,3,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,8,6,3,2,4,1] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,8,6,3,2,4] => ([(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,5,8,6,3] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,7,4,2,5] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,5,3,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,7,4,2,6] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,8,7,5,3,2,6] => ([(0,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,1,3,7,5] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,3,2,7,5] => ([(0,3),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,8,6,3,1,5] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,8,5,2,7,4] => ([(0,5),(0,6),(1,2),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,5,2,6,3,1,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,2,6,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,2,7,4,6,3] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,4,6,3,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,1,8,5,2] => ([(0,3),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,7,4,8,5,2] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,5,7,4,2] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,5,8,6,3,2] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,7,5,8,6,4] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,2,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,5,2,1,7,4,6,3] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,6,3,8,5,2] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,7,3,2,6] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,8,4,3,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,8,3,2,6] => ([(0,5),(1,2),(1,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,3,6,1,5] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,7,3,1,8,5] => ([(0,4),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,8,4,1,7,3,5] => ([(0,5),(0,7),(1,2),(1,4),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,8,1,7,2,5] => ([(0,1),(0,4),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,5,4,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,1,2,7,6] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,8,7,1,2,4] => ([(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,8,4,1,7,3,5] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,7,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,7,1,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,6,7,1,3,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,8,7,5,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,8,5,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,8,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,8,7,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,1,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,1,3,2,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,6,8,1,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,7,1,4,5,3,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,4),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,6,3,2,8,7,4] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,6,1,8,7,3,2,5] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,3,5,4,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,4,8,7,2,6] => ([(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,5,2,8,7,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,2,8,6,1,5,7] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,1,5,2,4] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,3,6,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,7,2,1,8,6,4,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,6,1,7,3,5,4] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,6,3,5,8,2,4] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,5,1,6,8,2,4] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,8,1,4,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,1,5,6,4,7,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,4,1,8,2,5] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,6,8,2,5,3] => ([(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,8,2,6,3,1,4] => ([(0,3),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,1,6,5,4,8,3] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,6,1,8,5,4] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,3,1,8,5] => ([(0,1),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,1,8,4,6,2,7] => ([(0,6),(1,6),(1,7),(2,3),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,1,6,7,4,2,5] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,3,6,8,1,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,4,6,1,5,3,7] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,6,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,3,8,5,2,1,6] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,4,8,5,2,6] => ([(0,3),(1,6),(1,7),(2,4),(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,3,2,8,5] => ([(0,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,6,2,7,4,1,5] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,5,2,8,6] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,8,5,3,2,7] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,2,4,6,7,5,3] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,7,5,4,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,3,8,6,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,1,3,7,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,1,8,6,3,2] => ([(0,2),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,8,5,6,1] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,7,6,1,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,2,3,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,6,1,7,5,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,4,6,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,6,1,5,8,3] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,4,5,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,6,8,4,7,2] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,7,3,8,4,2] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,3,2,6,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,5,8,4,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,2,5,1,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,8,3,7,4,1,5] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,6,4,7,3,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,1,6,4,7,3] => ([(0,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,8,3,2,6,5] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,3,7,4,2,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,8,3,1,7,4] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,8,4,1,7,2] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,1,8,4,5,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,4,6,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,2,5,6,4,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,6,4,8,2] => ([(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,4,8,7,5] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,7,4,2,3,6,1,5] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,5,4,2,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,2,8,6,4] => ([(0,1),(0,7),(1,4),(2,3),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,4,1,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,3,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,7,1,4,3,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,1,8,6,2,4,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,6,2,7,5,3,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,8,5,3,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,1,7,2,8,5] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,4,3,5,1,8,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,2,3,8,6,4] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[8,2,3,5,1,7,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,1,4,8,2,5] => ([(0,3),(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,7,5,3,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,1,6,5,3,4] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,6,4,3,8,1,5] => ([(0,6),(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,3,8,2,6] => ([(0,6),(1,2),(1,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,1,7,4,8,2,6] => ([(0,1),(0,7),(1,4),(2,3),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,1,5,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,4,1,6,3,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,7,5,1,6,4,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,3,2,8,5,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,2,1,6,3,8,5] => ([(0,6),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,3,8,4,7] => ([(0,4),(1,2),(1,7),(2,7),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,1,6,2,8,4,7] => ([(0,3),(1,5),(1,7),(2,4),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,8,4,3,7] => ([(0,7),(1,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,1,5,2,6] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,8,1,5,3,2,6] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,3,2,8,4,7] => ([(0,7),(1,2),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,8,4,1,5,7] => ([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,4,2,8,5,1,6] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,6,3,4,2,8,5] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,7,4,2,6] => ([(0,5),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,5,2,7,4] => ([(0,4),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,7,5,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,6,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,1,3,8,5,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,1,5,2,8,4] => ([(0,7),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,8,4,2,6,5] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,2,7,1,3,8,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,2,8,1,3,7,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,1,8,3,7,5,2,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,2,1,5,8,3,6] => ([(0,1),(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,8,3,2,6] => ([(0,4),(0,7),(1,2),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,6,4,8,1,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,2,7,3,8,1,5] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,7,4,2,6] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,8,3,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,7,4,8,3,6] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,5,2,7,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,6,4,5,2,8,3] => ([(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,1,6,8,4] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7)],8)
[4,5,7,3,1,6,8,2] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,7,2,8,6,1,3] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,7,2,6,8,4] => ([(0,7),(1,2),(1,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,2,8,1,3,6] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,7,2,1,5,8,3] => ([(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,7,1,3,8,5,2] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,7,8,4,2] => ([(0,3),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,5,8,3,2] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,7,4,8,5,2] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,4,8,5,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,5,2,7,6,3,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,1,3,7,6,4,8] => ([(1,7),(2,5),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[2,5,1,4,3,8,6,7] => ([(0,6),(1,6),(2,5),(3,4),(3,7),(4,7),(5,7)],8)
[3,7,2,1,5,8,6,4] => ([(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,7,1,4,8,5,3] => ([(0,4),(0,6),(1,2),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,4,2,1,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,1,8,6,4] => ([(0,3),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,4,2,8,6,3] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,3,8,6,2] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,7,6,4,8] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,8,1,5,7,4] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,4,3,2,8,1,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,4,8,3,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,4,8,1,5,2] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,3,8,1,4,6] => ([(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,3,6,4,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,7,5,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,7,5,4,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,1,6,4,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,1,5,4,3,8] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,7,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,5,6,1,4,3,7] => ([(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,8,4,1,5,3] => ([(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,8,3,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,1,4,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,5,8,4,1,3,7,2] => ([(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,3,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,1,6,5,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,8,1,4,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,8,2,1,5,7,4] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,7,4,8,1,3,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,4,8,2,6,3] => ([(0,5),(0,7),(1,2),(1,4),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,7,4,1,8,3,6,5] => ([(0,6),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,4,2,7,6] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,7,3,6,2,8] => ([(1,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,3,1,7,6] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,7,8,3,5,4] => ([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,1,8,6,4,2,7] => ([(0,6),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,4,7,5,2,6] => ([(0,3),(1,6),(1,7),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,3,5,1,6] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,6,2,3,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,4,7,5,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,1,6,4,2,5] => ([(0,1),(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,8,1,5,3,2,6] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,6,2,5,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,7,1,3,6,4,2] => ([(0,3),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,2,1,6,4,5] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,6,3,5,4] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,1,5,4,2,8] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,1,3,5,2] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,6,1,4,3] => ([(0,1),(0,3),(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,5,2,4,3] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,8,6,5,1,2,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,3,1,2,6] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,4,3,2,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,4,2,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,5,3,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,5,4,2,8,6] => ([(1,6),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,5,4,2,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,4,7,3,8] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,3,4,7,8,2] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,3,4,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,5,8,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,7,1,5,3,8,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,6,7,4,8,1,5] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,7,4,8,5,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,3,1,8,4] => ([(0,7),(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,1,4,7,8,3] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,6,5,2,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,3,6,2,4,1,7,8] => ([(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,2,1,3,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,1,5,4,7,8,2] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,4,2,7,8] => ([(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,6,3,8,5] => ([(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,1,2,3,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,1,2,5,3,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,5,2,8,1,4] => ([(0,6),(0,7),(1,2),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,1,2,8,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,1,3,8,5] => ([(0,4),(1,2),(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,6,8,3,5,4] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,8,1,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,2,8,7,6,4,3,1] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,1,5,4,3] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,6,5,3,2] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,2,3,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,3,2,7,8,1,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,3,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,2,4,3,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,4,5,8,1,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,5,2,4,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,4,6,1,5,2,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,5,8,1,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,4,7,8,2,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,8,6,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,6,4,1,7,2,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,8,6,2,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,4,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,1,7,8,2,6] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,8,4,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,7,5,8,3,4,2] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,1,3,8,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,8,4,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,6,5,8,2] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,1,7,5,8,6,2] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,3,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,7,2,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,4,1,3,7,6,5] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,4,2,3,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,3,5,6,4] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,1,6,7,5,4] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,5,7,6,4] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,2,7,6,5] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,7,2,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,1,8,4,7,5] => ([(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[2,3,7,4,1,8,5,6] => ([(0,7),(1,7),(2,3),(2,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,1,3,2,7,8,5] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,5,1,3,6,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,5,6,7,1,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,7,6,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,1,5,8,2,4,3] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,6,2,3,5,1] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,3,2,6,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,7,3,8,2,1,4] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,2,5,6,3] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,6,1,5,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,4,5,7,1,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,8,3,1,5,7] => ([(0,6),(1,3),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,2,4,5,1,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,8,1,4,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,5,8,6,1,4,7] => ([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,3,8,6,1,5,7] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,8,3,5,7] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,2,3,7,4,6,8,5] => ([(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,7,1,4,5,8,6] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,1,5,3,8,7,4,6] => ([(0,1),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,4,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,7,1,8,3,5,6] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
[4,1,8,2,7,3,5,6] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,2,7,5,3,8,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,4,8,5,6] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,2,3,7,6,8,4,5] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,8,7,4,5] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,7,8,4,6,5] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,2,3,7,8,6,4,5] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,3,7,5,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,8,3,7,5,6,1] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,8,6,5,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,8,7,2,6,1] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,8,7,2,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,5,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,6,2,4,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,3,7,4,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,3,7,5,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,3,7,4,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,6,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,7,2,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,8,4,5,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,4,7,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,4,7,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,4,7,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,5,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,8,4,5,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,5,6,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,6,4,7,3,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,6,5,7,3,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,7,4,5,1] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,7,5,4,6,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,4,5,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,3,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,5,7,3,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,4,6,7,3,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,5,6,7,3,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,8,5,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,7,2,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,8,6,2,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,7,4,6,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,5,6,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,8,4,6,2,1] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,8,4,7,2,1] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,5,7,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,1,3,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,2,5,1,3,8,6,7] => ([(0,5),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(6,7)],8)
[5,3,6,1,7,2,4,8] => ([(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,1,2,5,8,6,4] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,4,1,2,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,4,8,6,2] => ([(0,4),(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,4,8,6,3] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,3,7,1,5,8] => ([(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,1,2,5,4] => ([(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,3,8,1,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,2,8,1,3,6] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,7,1,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,7,4,5,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,2,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,1,2,4,6,3] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,3,4,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,1,3,5,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,6,1,2,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,5,8,1,2,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,8,1,3,5,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,1,2,4,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,6,8,1,2,5,7,4] => ([(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,7,2,4,8,1,6,5] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,3,8,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,7,1,2,5,8] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,7,8,2,3,6,5] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,2,8,6,3,4,7] => ([(0,6),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,3,8,1,6,2,4,7] => ([(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,1,8,5,2,3,4,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,5,2,3,4,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,1,3,7,4,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,8,1,6,3,4,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,7,8,2,5,1,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,7,1,4,5,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,8,7,1,3,5,6,2] => ([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,1,2,4,6,5] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,1,2,3,6,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,1,2,4,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,1,3,4,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,1,8,6,2,3,5,4] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,6,4,1,2,3,7] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,2,5,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,2,6,5,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,4,7,2,5,8] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,6,3,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,7,5,4,3,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,5,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,3,6,4,8,2] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,5,7,4,3,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,7,4,1,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,5,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,8,7,4,1,5,6] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,6,4,1,5] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,6,4,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,1,4,6,8,3] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,5,2,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,3,1,4,5,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,1,4,6,2,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,2,4,7,6,8,3] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,7,4,1,2,6,3,8] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,1,2,6,7,3,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,7,8,2,6,3,5] => ([(0,3),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,4,6,8,7,5] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,1,8,4,5,7,6,2] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,4,7,1,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,5,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,5,7,6,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,1,6,3,7,5] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,5,2,7,1,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,6,1,7,4,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,7,8,1,2,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,7,8,5,2,1,6,4] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,4,1,6,5] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,1,7,4,6,5,3] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,7,5,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,1,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,1,4,2,8,7,5] => ([(0,3),(0,7),(1,2),(1,5),(2,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,4,3,8,2,5] => ([(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,2,3,1,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,8,3,5,6] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(6,7)],8)
[1,7,8,4,2,3,6,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,3,8,2,6,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,7,1,3,4,2,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,7,5,8,1,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,3,4,2,6,7,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,1,3,7,2,8,5] => ([(0,4),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,6,2,7,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,5,8,4,3,1,6] => ([(0,6),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,3,4,2,7,5] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,4,2,8,7,5] => ([(0,1),(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,1,2,6,4,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,5,3,2,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,2,6,5,3,7] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,8,6,3,2,7] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,4,7,2,6] => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,1,5,7,2,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,1,2,5,7,4,8] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,4,2,6,5,3,8] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,6,5,2,7] => ([(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,4,5,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,5,1,6,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,4,8,6,3,2] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,5,3,6,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,4,8,6,3,2] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,4,8,6,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,8,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,4,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,1,6,3,2] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,5,1,6,3] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,3,8,4,1,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,3,8,1,4,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,1,6,5,2] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,3,1,5,4,2,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,1,5,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,2,6,1,3,8,7] => ([(0,1),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,6,5,1,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,8,1,7,4,3,6] => ([(0,3),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,7,4,3,1,5] => ([(0,4),(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,2,3,7,5,1,4] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,6,2,5,4,8,1,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,5,1,8,4,3,7] => ([(0,3),(1,2),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,3,1,8,5,6] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,7,1,5,8,6] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[5,2,7,3,8,6,1,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,5,8,4,3,7,6] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,2,6,7,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,4,8,1,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,8,3,1,7,5,6] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,1,7,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,2,6,8,5] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7)],8)
[3,4,8,2,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,3,7,2,1,5,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,8,1,7,2,6,4] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,6,8,3,2] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,8,1,5,3,2] => ([(0,1),(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,8,2,6,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,7,6,3,8,1,4,5] => ([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,6,4,8,3,5] => ([(0,1),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,5,4,8,7,3,6] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,8,7,2,6,1,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,4,3,8,7,1,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,1,8,6,2,7,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,4,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,5,2,7,1,3] => ([(0,4),(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,8,7,5,4,1,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,5,4,3,1,7] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,3,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,5,2,8,4,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,3,4,8,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,1,4,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,3,8,4,6,2] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,4,2,8,5,1] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,4,3,5,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,6,1,7,3,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,8,3,7,1] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,1,4,3,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,4,8,1,5,2,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,1,2,5,3,6,7] => ([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,7,4,6,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,3,5,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,5,2,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,6,3,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,2,5,4,1] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,3,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,5,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,2,6,1,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,6,1,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,7,6,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,4,6,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,4,6,1,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,4,6,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,7,4,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,6,4,1,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,2,6,4,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,6,2,4,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,1,2,8,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,3,7,6,1,4,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,3,7,6,4,1,2,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,2,6,1,4,8] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,6,1,4,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,4,1,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,4,1,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,4,1,8,6,2] => ([(0,5),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,5,1,4,8,6,2] => ([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,5,1,4,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,1,2,6,8,4] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[3,5,7,2,1,6,8,4] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,5,2,7,1,6,4,8] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[3,5,7,2,1,6,4,8] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,7,1,6,2,4,8] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,1,4,6,8,2] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,7,1,4,6,2,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,7,1,4,2,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,2,1,4,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,2,7,1,4,6,8] => ([(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,5,7,4,1,6,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,4,1,6,8] => ([(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,4,2,1,6,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,4,1,2,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,4,7,1,6,8,2] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,7,1,2,6,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,7,2,1,6,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,7,1,6,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,7,1,6,8] => ([(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,4,7,2,1,8,6] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,1,2,8,6] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,3,1,8,4,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,3,1,8,2,4] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,4,1,2,8,6] => ([(0,2),(1,6),(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,4,2,1,8,6] => ([(0,2),(1,6),(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,7,4,1,8,6] => ([(0,4),(1,2),(1,7),(2,7),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,5,7,1,4,8,6] => ([(0,5),(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,5,2,7,1,4,8,6] => ([(0,3),(1,5),(1,7),(2,4),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,1,4,8,6] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,1,4,2,8,6] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,5,2,1,8,6,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,7,2,5,1,8,6,4] => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,5,1,8,6,4] => ([(0,1),(0,5),(1,5),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,7,5,1,8,4,6] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,5,1,8,4,6] => ([(0,1),(0,7),(1,4),(2,3),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,2,1,8,4,6] => ([(0,2),(0,7),(1,4),(1,5),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,8,4,6,3] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,1,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,4,1,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,4,1,7,5,2] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,5,6,8,1,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,4,1,8,5,2] => ([(0,3),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,1,8,6,5,2] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,7,6,5,2] => ([(0,2),(0,7),(1,2),(1,6),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,1,5,4,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,8,7,6,1,5,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,4,1,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,8,1,6,7,3] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,8,1,7,3,6] => ([(0,6),(0,7),(1,3),(1,5),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,4,1,6,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,5,1,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,8,1,5,4,7] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,3,2,5,6,1,4,7] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,7,1,5,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,8,7,1,5,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,2,6,7,1,5,4,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,3,2,5,6,1,4] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,1,5,3,6,4] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,2,7,5,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,8,5,1,3,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,4,1,8,3,6,5] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,7,1,4,6] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,7,1,8,3,4] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,5,1,8,7,4,3,6] => ([(0,2),(1,6),(1,7),(2,3),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,3,5,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,4,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,4,1,5,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,2,3,7,6,5] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[2,1,8,5,3,4,7,6] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,6,8,7,3,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,4,5,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,8,6,1,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,4,2,6,7,8,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,7,3,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,8,3,5,6,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,4,8,7,3,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,4,2,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,3,2,5,6,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,3,1,7,5,4] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,2,6,8,5,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,3,8,5,6,1] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,1,5,6,4] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,4,3,1,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,3,2,6,1,5] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,7,4,2,5] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,7,4,8,1,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,3,5,8,2,4] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,6,7,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,2,7,8,6,4,3] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,1,4,7,3] => ([(0,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,6,5,7,3] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,6,8,7,2,4] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,2,1,3,8,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,5,8,7,4,1,6,3] => ([(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,5,2,6,8,3] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,2,4,5,1,8,3] => ([(0,5),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,2,5,8,6,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,5,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,2,6,7,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,8,6,7,1,3] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,2,1,3,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,5,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,4,6,5,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,2,4,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,2,4,6,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,5,2,4,6,1,8] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,4,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,3,2,4,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,7,4,6,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[5,7,3,2,1,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,2,4,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,2,5,4,1,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,2,4,7,6,8] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,2,7,4,6,8] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[7,1,3,2,5,4,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,3,2,5,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,3,5,2,4,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,7,2,4,6,8] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,7,5,1,4,6,8] => ([(1,7),(2,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,1,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,7,2,4,6,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,7,4,1,6,8] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,4,7,1,6,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,4,7,6,8] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,7,4,6,8] => ([(1,3),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,5,4,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,2,5,4,6,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,1,2,5,4,6,8] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,7,4,6,8] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,3,1,2,4,7,6,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,4,7,6,8] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,7,5,2,4,6,8] => ([(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,3,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,5,2,4,6,8] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,2,5,4,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,2,1,5,4,6,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,1,7,5,4,6,8] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,1,2,7,5,4,6,8] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,1,7,2,5,4,6,8] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[3,1,7,5,2,4,6,8] => ([(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,3,2,4,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,2,7,6,3] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,4,2,8,1,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,6,8,5,4] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,8,2,7,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,8,2,7,6] => ([(0,3),(0,7),(1,2),(1,5),(2,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,5,4,8,2,6,3] => ([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,5,1,6,4,8,2] => ([(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,4,8,1,3,6] => ([(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,5,4,8,6,1,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,4,8,6,3,2] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,4,8,7,3,6] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,8,7,1,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,8,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,6,4,8,1,2,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,4,8,7,2,3] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,1,8,7,2,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,4,5,8,7,2,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,8,5,2,7] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,3,4,5,8,2,6] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,5,3,8,2] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,3,5,4,8,2] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,2,5,8,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,4,2,8,5,3,7] => ([(1,5),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,5,8,2,4,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,3,1,4,2] => ([(0,1),(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,3,8,1,7,5] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,4,3,8,5,7,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,1,5,8,6,4] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,6,3,8,4,2] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,5,1,4,8,2] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,5,3,8,1,4] => ([(0,6),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,1,4,8,6,5] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,5,4,8,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,8,1,7,3] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,4,8,3,7,2] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,8,3,1,7] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,4,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,3,4,5,8,2] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,2,4,8,5,6] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,1,5,3,4,8,2] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,5,4,3,8,2] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,5,8,3,2,7] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,1,3,2,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,7,2,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,2,1,7,4] => ([(0,6),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,2,1,5,3,7,8,6] => ([(0,6),(1,6),(2,5),(3,4),(3,7),(4,7),(5,7)],8)
[4,2,5,6,3,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,1,7,2,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7)],8)
[4,1,5,6,3,2,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,7,2,8,6] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,5,2,7,8,6] => ([(0,7),(1,6),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,5,4,7,3,8,6,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,1,8,4,2,6] => ([(0,4),(0,6),(1,3),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,3,2,7,8,6] => ([(0,5),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,1,2,8,6] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,6,1,2,7,5,8] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,3,2,4,6,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,4,5,2,8] => ([(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,4,2,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,4,2,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,7,1,8,6] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,1,3,7,5,8] => ([(1,4),(2,5),(2,6),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[4,6,2,1,3,7,5,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,1,7,4,8,5] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,4,7,6,5,2,8] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,1,5,8,4] => ([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,6,2,7,1,3,5,8] => ([(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,7,1,8,2,6,4] => ([(0,4),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(6,7)],8)
[5,1,4,2,3,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,2,5,8,4] => ([(0,7),(1,2),(1,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,5,3,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,5,4,2,8] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,3,2,6,7,8] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,3,2,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,5,1,8,3,7] => ([(0,2),(1,5),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,4,8,6,3,7,5] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,2,5,3,7,1] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,7,5,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,2,3,5,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,1,4,5,7,3] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,7,3,1,5] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,1,3,8,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,5,3,4,8,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,3,8,4,1,5] => ([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,5,8,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,5,8,3,4,7,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,3,8,7,4,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,7,3,5,8,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,7,1,8,4,6] => ([(0,7),(1,2),(1,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,3,1,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,3,6,5,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,3,6,4,7,2] => ([(0,6),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,3,6,2,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,4,1,3,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,8,1,7,2] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,3,7,1,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,3,6,2,8,7] => ([(0,1),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,5,1,7,3,8] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,7,2,1,6,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,2,5,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,1,6,8,3,7] => ([(0,4),(1,7),(2,5),(2,7),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[1,8,2,3,6,5,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,5,7,1,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,6,5,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,2,6,5,8,4] => ([(1,6),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,2,5,8,7] => ([(1,2),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,4,7,3,6,8,2] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,8,4,1,7,6] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,4,8,2,1,6] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,3,4,1,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,3,8,5,2,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,3,1,5,8] => ([(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,2,4,5,1] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,1,3,4,6] => ([(0,5),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,3,7,6,8,4,2] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,7,8,2,4,5] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,3,7,8,5,2,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,7,8,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,7,5,8,1,3] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,4,7,8,5,1,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,7,8,1,4,5] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,1,8,3,6,4,7,2] => ([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,6,1,7,2,4] => ([(0,5),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,8,1,7,6,2,5] => ([(0,2),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,8,5,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,4,8,5,1,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,1,7,5,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,5,8,7,1,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,7,4,8,2,6,3,1] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,2,7,3,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,3,1,7,4,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,1,7,2,6,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,5,3,8,2,7,4,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,1,3,7,5,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,6,3,1,4,2,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,3,7,8,2,6] => ([(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,5,3,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,8,5,3,1,6] => ([(0,4),(0,5),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,1,7,8,6] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,6,3,1,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,6,3,1,5,8] => ([(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,7,5,2,4,8] => ([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,8,7,5,2,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,7,5,2,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,6,3,1,8,5] => ([(0,3),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,1,8,4,2,5] => ([(0,2),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,1,8,3,5] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,6,4,3,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,6,4,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,7,6,3,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,4,8,6,3,1] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,4,6,3,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,6,3,7,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,2,6,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,4,7,5,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,5,3,6,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,8,3,6,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,3,1,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,4,1,8,6,3] => ([(0,5),(0,6),(1,2),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,8,7,4,1,6,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,1,5,2,6,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,2,8,6,3] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,1,4,2,8,5] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,8,6,3,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,6,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,3,6,4,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,1,3,6,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,3,8,6,4] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,6,5,8,2,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,7,5,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,5,2,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,2,1,3,8] => ([(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,7,5,2,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,8,7,5,2] => ([(0,4),(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,4,7,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,7,6,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,4,7,5,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,6,4,8,3] => ([(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,7,4,1,5,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,4,1,5,2,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,1,6,3,5,2,8] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,8,6,3,5,2] => ([(0,3),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,3,1,7,5,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,2,1,8,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,6,4,7,5,3,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,2,7,4,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,8,7,4,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,7,4,1,8] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,3,5,2,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,4,2,6,3,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,5,7,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,5,8,1,6,7,3] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,1,3,7,4,2,5,8] => ([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,6,8,1,5,7,4] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,2,7,1,5,4,3] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,8,3,1,5,4,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,8,1,5,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,2,8,6,1,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,1,5,6,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,8,5,2,4,3,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,7,2,8,1,6,3] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8)
[8,4,6,5,3,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,7,2,6,8] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,4,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,6,2,3,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,3,4,2,8,5,7] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,1,4,3,5,7,6,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,1,3,7,8,6] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[1,7,4,3,6,8,2,5] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,7,1,3,6,5,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,4,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,3,8,2,1,6] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,7,4,1,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,8,5,6,3,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,7,3,5,6,2] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,3,5,4,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,7,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,6,8,5,3,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,7,5,6,4,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,4,5,3,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,5,3,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,8,1,6,5,3] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,8,7,1,5,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,1,8,4,2,7,6,3] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,3,8,1,6,5,4] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,8,4,1,7,5,3] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,1,2,8,5,3] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,2,7,5,4] => ([(0,1),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,1,2,8,6,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,2,8,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,8,5,4,3,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,7,8,4,3,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,7,3,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,3,6,8,2,5] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[3,7,6,4,8,1,2,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,4,2,1,8,6] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,4,2,8,5] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,8,2,7,5,1] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,5,3,2,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,6,5,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,4,6,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,2,1,5,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,1,4,5,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,6,2,3,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,4,6,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,7,3,6,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,7,8,5,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,7,6,2,3] => ([(0,1),(0,2),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,8,4,7,1,6,2] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,4,7,3,6,2] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,7,8,5,2] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,7,8,5,2] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,4,8,6,5,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,3,7,1,8,5] => ([(0,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,4,1,7,8,3,5] => ([(0,5),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[7,2,3,4,8,6,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,1,8,6,4,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,8,1,6,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,8,4,7,6,2,3] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,2,5,6,8,4] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,5,4,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,8,4,7,1] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,6,5,8,2] => ([(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,8,3,7,1] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,8,1,7,3] => ([(0,4),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,5,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,8,1,6,2] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,1,5,2,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,7,1,6,2,8,5] => ([(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,2,6,3,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,1,6,3,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,5,2,3,6,8] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,8,6,3,2,5] => ([(0,2),(1,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,8,3,7,4,5] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,2,1,4,7,5] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,1,6,5,8,3] => ([(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,4,3,1,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,1,3,7,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,7,6,3,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,3,8,5,6,1] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,6,8,3,7,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,5,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,3,4,7,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,5,3,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,3,5,1,4,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,2,3,7,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,3,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,4,2,6,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,5,6,4,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,5,3,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,4,2,7,1] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,1,6,2,8,3] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,1,3,5,2] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,4,7,5,2] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,5,7,4,2] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,8,6,1,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,4,7,8,1,6,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,7,8,1,5,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,4,6,8,1,7,5,3] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,3,8,6,2,1,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,3,5,6,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,1,8,4,5] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,8,1,7,4,5] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(5,6),(6,7)],8)
[4,3,6,2,1,8,5,7] => ([(0,2),(1,2),(1,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,3,7,5,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,3,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,2,3,7,5,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,2,7,1,5] => ([(0,1),(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,7,2,1,6,4] => ([(0,3),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,7,1,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,8,2,1,5] => ([(0,1),(0,6),(0,7),(1,2),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,2,1,8,5] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,3,7,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,8,7,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,8,4,6,7,3] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,7,4,6,8,3] => ([(1,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,2,7,3,6,8,4] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,2,8,3,6,7,4] => ([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[5,6,3,4,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,8,3,6,7,5] => ([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[4,1,2,7,3,6,8,5] => ([(0,5),(1,5),(2,6),(3,5),(3,7),(4,6),(4,7),(6,7)],8)
[7,5,3,8,4,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,3,4,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,8,3,6,4,5] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,2,3,5,7,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,2,3,5,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,2,4,5,7,3] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,7,5,6,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,4,6,5,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,3,5,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,3,5,7,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,3,5,6,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,4,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,4,5,2,1] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,4,5,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,3,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,3,4,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,3,5,4,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,6,3,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,7,2,6,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,4,6,8,5,7,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,7,4,8,6,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,6,3,7,8,5,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,1,8,6,3,4] => ([(0,3),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,4,5,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,7,1,8,4,5,3] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,1,4,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,4,2,6,7,1,5] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,5,6,3,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(6,7)],8)
[1,6,2,7,8,5,3,4] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,6,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,6,7,3,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,7,5,3,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,1,7,4,2,6] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,1,5,3,6] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,8,1,7,4,3] => ([(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,3,2,6,8,1,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,4,7,3,1,6,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,2,3,5,8,4] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,7,8,4,2,5] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,5,6,2,7] => ([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,4,5,7,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,5,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,7,3,1,6] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,8,7,5,4,1] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,5,4,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,5,4,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,5,2,4,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,1,5,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,5,3,2,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,5,4,2,7] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,5,4,1,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,7,4,1,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,5,4,2,6] => ([(0,5),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,1,5,3,6] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,8,7,5,4,2] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,7,5,4,2] => ([(0,1),(0,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,7,6,4,2] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,7,6,4,1] => ([(0,2),(0,7),(1,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,2,7,6,5,1] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,1,6,5,2] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,3,5,7,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,7,6,3,2] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,4,5,6,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,4,6,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,2,6,5,4] => ([(0,2),(0,7),(1,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,4,7,6,5,1] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,4,6,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,1,6,5,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,3,6,5,4] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,4,3,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,2,4,3,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,4,6,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,5,7,6,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,7,6,1,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,5,1,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,1,5,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,5,7,6,4,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,8,7,5,4,3] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,7,5,4,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,3,5,2,6,4] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,7,6,4,3] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,4,6,5,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,1,7,6,5,3] => ([(0,2),(0,7),(1,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,7,6,5,1] => ([(0,2),(0,7),(1,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,1,7,6,5,3] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,2,6,4,3] => ([(0,3),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,3,7,6,2,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,5,4,1,7,6,3] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,4,8,7,6,3,2] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,7,6,5,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,7,6,5,2] => ([(0,2),(0,7),(1,2),(1,6),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,7,6,5,2] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,3,2,1,7,4] => ([(0,2),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,3,2,4,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,2,4,3,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,3,2,8,6,4] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,1,3,2,7,4,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,5,1,3,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,7,1,2,5,4,8,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,2,5,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,6,4,2,3,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,8,2,3,5,6,4] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,2,3,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,1,2,6,8,3,5] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,5,7,3,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,2,1,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,5,6,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,3,6,8,5,2] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,5,1,3,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,2,1,8,5,3] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,2,1,7,3,6,8] => ([(1,2),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,1,7,3,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,8,2,3,7,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,8,5,3,6,7] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,8,2,6,1,7,4] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,6,1,5,2,8,4] => ([(0,5),(1,2),(1,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,2,5,8,4,3] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,8,4,2,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,6,5,8,1,2,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,2,8,4,5,1] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,8,5,1,2,7] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,1,8,4,3,5] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,3,5,4,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,4,5,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,7,8,4,3] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,8,5,3,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,3,1,2,6,8,5] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,6,1,5,8,2,4] => ([(0,4),(0,7),(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,5,6,4,2,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,7,8,5,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,5,8,3,1,6] => ([(0,3),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,4,7,8,3,6] => ([(0,3),(0,4),(1,2),(1,6),(2,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,3,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,3,8,5,4,7,2] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,6,8,5,1,3,4] => ([(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,5,3,1,4] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,4,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,4,1,7,3] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,3,5,8,7,4] => ([(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,2,3,1,6,8,5] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,1,5,4,8,2] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,6,2,8,3,5,1] => ([(0,3),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,4,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,5,1,2,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,3,8,6,2,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,6,7,5,1] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,5,7,1,6] => ([(0,4),(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,6,4,7,2,3] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,1,5,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,2,3,1,5,8,4] => ([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,3,8,1,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,3,8,4,1,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,7,6,3,8,2] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,2,3,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,4,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,6,2,8,7,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,8,3,4,5,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,8,5,7,3] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,8,6,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,8,6,5,2,1] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,6,5,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,6,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,3,6,5,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,7,2,6,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,8,6,7,5,1,4,2] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,7,6,5,8,3,1] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,5,2,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,3,8,2,7,6,1] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,4,1,7,6,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,7,2,5,8,3,1] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,7,5,1,4,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,6,4,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,3,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,4,8,7,6,1,3] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,4,5,1,8,6,7] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[4,2,5,1,7,8,3,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,5,4,1,3,8,6,7] => ([(0,5),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,8,2,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,2,4,3,6,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,8,2,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,3,1,6,7,2,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,8,2,6,5,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,4,8,7,1,5] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,3,2,6,8,1,5] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,6,8,1,2,5] => ([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,2,5,8,1,4] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,5,6,8,3,7,2,4] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,5,8,3,4,7,2] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,1,3,4,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,5,6,3,4,7,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,3,5,4,7,2] => ([(0,6),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,6,3,5,4,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,5,8,4,6,3] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,8,1,7,3,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,7,8,5,4,6,2] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,7,4,8,5,3] => ([(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,8,4,3,5,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,8,3,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,7,6,3,5,8,1,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,5,6,8,1,3,4] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[6,7,2,8,1,3,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,1,6,8,7,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,7,6,8,2,3,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,4,6,8,5,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,6,7,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,8,6,3,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,8,1,5,4,7,3] => ([(0,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,4,7,6,2,8,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,8,3,2,7,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,1,2,4,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[7,1,5,4,8,3,2,6] => ([(0,7),(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,7,5,3,2,8] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,8,1,5,3] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,5,4,8,1,6,3] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,5,3,8,6,4] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,8,6,1,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,4,1,2,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,8,3,7,1,5,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,4,1,6,3,7] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,5,2,1,8,4,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,1,8,3,6,4] => ([(0,4),(1,2),(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,4,3,6,2] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,2,4,6,1,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,3,2,4,8,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,6,3,5,8,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,3,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,7,4,2,3,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,8,7,4,2] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,2,5,1,6] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,5,3,7,2,4] => ([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,6,8,3,7,4,2] => ([(0,5),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,7,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,3,5,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,1,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,4,3,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,4,1,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,8,5,2,1,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,7,3,1,5,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,5,1,2,7,3] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,5,1,2,3,7] => ([(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,1,7,6,8,2] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,6,5,1,2,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,7,1,2,5,3] => ([(0,1),(0,2),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,6,1,8,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,6,1,3,8,4] => ([(0,6),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,2,6,1,4,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,8,7,5,6,1,4,2] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,4,7,2,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,6,5,1,3,8,2] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,5,2,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,5,4,3,8,6] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,4,3,8,6] => ([(0,1),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,3,8,7,5,2] => ([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,6,8,3,5] => ([(0,1),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,4,2,7,3,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,5,7,6,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,8,6,1,5,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,2,8,1,7,5] => ([(0,1),(0,2),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,3,8,1,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,4,3,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,5,7,6,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,2,5,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,2,6,8,1] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,6,3,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,5,4,6,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,2,1,7,4,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,7,5,3,2,6] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,2,8,6,1] => ([(0,2),(0,7),(1,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,7,2,8,4,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,5,3,8,2,1,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,8,7,3,1,4] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,1,7,2,5] => ([(0,1),(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,1,6,4,3,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,6,4,3,5,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,6,3,7,1] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,3,1,4,6] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,3,1,4,8,7] => ([(0,1),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,8,5,3,1,6] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,4,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,7,8,5,3,6] => ([(0,1),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,1,6,5,7,4,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,3,1,4,2] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,2,6,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,1,4,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,6,4,3,7,2] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,3,7,8,2,5] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,7,5,8,3,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,3,1,4,6,8,5] => ([(0,7),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,3,1,6,5,7,4] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,6,7,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,1,2,8,4,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,1,4,6,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,7,5,4,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,1,6,5,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,4,2,6,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,3,7,1,6] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,6,3,1,5] => ([(0,1),(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,2,3,8,1,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,3,6,4,8,2] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,3,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,1,5,8,4] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,2,5,7,6,3] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,2,4,7,6,3] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,8,7,5,3] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,7,5,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,8,3,5,7,6,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,5,7,6,4] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,1,8,7,5,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,8,7,5,1,4] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,5,7,6,4] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,4,5,7,6,3] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,8,7,5,1,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,4,5,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,4,5,7,2,3,8] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,7,6,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,4,7,2,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,6,2,7,1,4] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,5,7,2,4] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,3,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,4,5,2,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,4,6,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,5,3,8,4,7] => ([(0,1),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,1,4,2,3,7] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[5,7,4,8,1,2,3,6] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,2,1,5,3,7,4,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,1,2,6,3,5] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,5,6,2,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,8,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,2,7,6,8,3,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,7,2,5,8,3,4] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,6,5,8,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,5,7,2,3,4] => ([(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,6,8,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,7,8,3,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,7,2,4,5] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,7,3,2,4,6,8,5] => ([(1,7),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,4,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,8,4,6,5] => ([(0,3),(1,3),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,6,8,7,3,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,6,2,5,7,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,2,6,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,1,5,7,6,2,3,4] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,8,5,2,3,4] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,2,8,4,6,5] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,1,2,7,6,4,5] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,5,2,3,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,6,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,3,4,5,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,8,2,5,3,6] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,1,4,2,7,5] => ([(0,3),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,4,6,3,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,8,4,1,5,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,5,4,1,7,2,6,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,2,5,1,8] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,3,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,7,8,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,7,4,1,6,8,5,2] => ([(0,4),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,2,7,6,8,5,4] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,8,4,5,1,7] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,3,5,4,2,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,5,2,4,6,1,7] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,3,5,2,7] => ([(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,4,8,6,3,7,2] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,5,3,7,1,6] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,5,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,5,3,7,2] => ([(0,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,6,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,6,4,7,1] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,2,7,4,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,8,7,3,6,2,4,1] => ([(0,2),(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,3,4,8,6,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,2,8,6,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,3,2,4,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,3,7,8,6,4] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[4,3,7,2,1,8,6,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,1,3,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,3,1,5,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,5,1,7,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,4,7,5,2,8] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,5,4,1,8] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,5,3,6,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,3,4,1,6,8] => ([(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,8,6,4,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,3,8,6,5,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,7,5,8,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,4,7,8,6,2] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,2,3,1,8,6] => ([(0,1),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,1,4,6,5,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,8,7,4,1,3,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,5,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,7,1,3,8,5] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,1,4,2,8,6] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,1,3,2,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,1,4,7,5,3,8,2] => ([(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,1,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,3,5,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,7,3,2,5] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,6,1,2,8,5] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,1,7,4,3,8,6] => ([(0,3),(1,2),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,6,2,3,1,8,5] => ([(0,2),(1,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,2,5,3,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,1,8,7,5,4] => ([(0,5),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,6,8,7,5,3,1,4] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,7,5,2,8,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,3,6,1,4] => ([(0,1),(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,1,2,5,6,3] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,1,5,6,3] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,1,5,7,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,5,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,7,5,8,2,4] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,1,8,5,6,2] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,7,5,3,4,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,7,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,8,3,7,2] => ([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,5,3,4,7,2] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,5,6,8,3,7,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,7,2,5,3] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,2,7,4,6] => ([(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,8,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,6,1,4,5] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,8,6,1,3,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,8,5,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,7,8,1,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[4,5,6,8,1,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[3,5,8,6,1,2,7,4] => ([(0,4),(0,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,6,8,7,1,3,5] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,6,8,7,2,3,5] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,8,1,7,2,6] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,8,4,1,7,2,6] => ([(0,4),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,5,7,8,2,3,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,5,4,8,1,3,7,2] => ([(0,2),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,8,5,1,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,2,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,4,5,3,6] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,6,1,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,4,5,3,8,2] => ([(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,1,5,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,5,6,4,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,3,8,6,7,4] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,5,7,8,2,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,7,4,2,8,5] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,4,1,3,8,5] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,2,6,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,4,2,7,1,6] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,5,6,7,4] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,7,2,5,4,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,2,4,6,1,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,5,2,8,4,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,7,8,1,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,3,6,7,8,1,4,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,3,7,6,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,2,8,6,4,1] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,6,7,2,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,6,3,1,2,7] => ([(0,6),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,8,2,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,2,1,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,8,1,3,6] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,4,8,2,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,7,3,5,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,2,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,2,8,3,7,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,1,7,2,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,6,3,8,7,4] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[4,5,6,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,8,5,4,1,7] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,1,5,2,8,6,7] => ([(0,5),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,3,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,5,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,4,3,8,1,6,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,7,4,3,1,6,8] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,7,1,6,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,4,1,2,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,1,3,8,7,6] => ([(0,1),(0,2),(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,5,1,2,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,3,5,2,7,8] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,8,6,3,7,5] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[3,1,7,2,5,6,4,8] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,7,5,4,2,1,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,4,1,6,5,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,2,1,6,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,6,1,7,4,3,5] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,4,6,1,3,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,4,1,3,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,6,1,3,7,4] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,6,3,2,4,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,2,5,4,6,3,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,5,3,7,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,1,2,7,5,6,3,8] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,2,6,5,4,3,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,5,6,3,7,4] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,4,5,3,2,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,4,2,7,8] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,6,5,2,7,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,8,3,1,7,6,4,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,6,3,2,8,5,1,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,7,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,8,7,4,1,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,8,5,7,2,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,5,4,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,8,4,5,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,3,1,4,8,6,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,3,2,8,6,7] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,4,2,8,6,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,3,8,5,1,6] => ([(0,4),(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,7,2,8,5,6,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,4,8,6,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,1,2,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,1,8,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,1,7,3,4,6,8,2] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,4,3,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,3,4,5,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,7,8,2,5,4,6] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,7,4,1,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,4,1,2,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,2,8,6,5,1,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,5,1,2,4,8] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,5,1,8,2,3,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,1,8,4,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,1,4,8,3,7,5,6] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,3,5,6,2,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,7,8,4,2,6,1] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,8,2,4,5,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,3,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,3,1,8,6] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,6,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,6,5,8,7,3] => ([(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,2,6,4,8,7,5] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,5,3,8,7,6] => ([(1,7),(2,6),(3,4),(3,5),(4,5),(6,7)],8)
[1,5,2,6,4,8,7,3] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,3,8,7,4] => ([(1,7),(2,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,4,3,8,7,6] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,3,5,4,8,6,2] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,4,7,5,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,6,4,8,5,3] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,7,4,8,6,3] => ([(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,2,8,5,7,6,3] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,2,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,3,8,4,7,6,2] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,7,3,6,5,2] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,8,1,5,4,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,3,1,4,2,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,5,2,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,5,2,4,1] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,2,6,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,5,4,2,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,5,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,1,3,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,4,6,2,1] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,7,4,6,1,5] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,4,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,3,1,2,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,1,5,4,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,1,3,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,7,4,6,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,5,1,3,2] => ([(0,1),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,7,5,6,1,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,3,6,4,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,2,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,7,3,5,2,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,6,4,2,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,5,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,2,1,7,5,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,6,1,2,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,6,5,1,7,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,6,5,2,1,3] => ([(0,1),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,5,1,6,2,3] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,1,8,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,5,8,3,1,6,7,2] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,2,8,4,6,1,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,8,6,4,5,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,5,1,3,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,3,4,8,2,7] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,6,4,8,1,7] => ([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,4,1,7,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,7,5,4,2,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,2,1,7,5,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,6,4,3,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,4,8,2,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,6,2,5,4] => ([(0,1),(0,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,4,2,5,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,8,5,4,1] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,4,1,5,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,8,2,4,3,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,1,5,2,4,8,3,7] => ([(0,7),(1,2),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,4,3,8,5,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,7,3,8,6,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,5,1,6,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,1,5,4,6] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,8,1,4,3,6,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,4,8,3,2,6] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,4,3,8,2,7] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,5,6,8,2,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,3,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,2,7,6,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,6,4,5,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,8,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,6,3,7,4] => ([(0,1),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,8,4,6,1,7,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,8,6,1,7,4] => ([(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,3,5,8,1,7,4] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,5,8,1,7,4] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,2,8,6,1,7,4] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,4,6,1,3,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,6,1,4,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,5,4,8,1,7,3] => ([(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,7,2,6,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,5,3,7,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,7,6,5,3] => ([(0,2),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,5,7,6,2] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,5,7,6,2] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,6,8,5,2,7,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,2,6,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,4,2,7,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,5,2,7,1] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,8,2,7,5] => ([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,6,4,1,5,2,8,7] => ([(0,1),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,6,5,1,3,7,2] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,5,6,7,1,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,2,4,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,5,4,6,1,8,3] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,7,4,6,1,8,5] => ([(0,7),(1,7),(2,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,7,4,1,3,8,5] => ([(0,7),(1,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,4,1,3,8,2] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,3,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,5,7,8,2] => ([(0,7),(1,7),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,5,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,1,5,7,8,4] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,6,2,5,7,8,1] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,5,7,8,3] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,4,1,5,7,8,3] => ([(0,7),(1,7),(2,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,1,6,5,7,8,3] => ([(0,6),(1,7),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[7,5,4,2,6,1,8,3] => ([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,3,1,8,6,5,2] => ([(0,1),(0,3),(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,5,3,1,8,6] => ([(0,2),(1,3),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,8,2,1,7] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,4,1,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,1,8,6,4] => ([(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,8,7,2,1,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,8,2,1,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,6,2,1,5] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,6,1,8,4] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,2,6,4,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,3,1,8,6,4] => ([(0,6),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,2,4,1,8,6,5] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,7,5,8,2,1,6] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,5,2,6,1,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,3,7,2,1,6] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,8,6,1,7] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,8,6,4,5,7,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,3,4,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,6,3,5,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,6,1,3,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,1,8,5,7] => ([(0,5),(1,2),(1,7),(2,7),(3,5),(3,6),(4,6),(4,7),(6,7)],8)
[2,8,6,5,3,1,4,7] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,6,2,3,1,7] => ([(0,6),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,5,2,3,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,7,6,8,3,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,8,7,5,1,6] => ([(0,5),(0,6),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,7,3,2,5] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,2,7,3,6] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,1,5,8,4,2] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,8,2,7,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,2,7,4,6,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,1,3,6,2] => ([(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,6,2,3,8,4,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,3,2,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,1,3,8,7,2,6,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,1,6,2,5,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,2,4,7,6,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,4,8,3,6] => ([(0,7),(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,1,4,7,2,6] => ([(0,3),(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,4,1,3,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,6,3,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[7,4,6,1,3,2,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,5,8,6,3,2,7] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,7,2,6,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,7,3,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,3,6,2,4] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,3,6,1,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,6,3,1,7,8,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,1,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,1,2,3,8,4] => ([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,6,7,5,1,2,8,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,6,8,5,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,1,4,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,3,2,1,8,6,4,7] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[7,8,6,1,4,5,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,8,3,7,2,1,4] => ([(0,1),(0,3),(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,6,2,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,6,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,4,3,2,6,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,3,2,6,7,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,3,8,2,1,7,6] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,2,1,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,4,3,2,7,6,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,6,1,3,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,3,8,2,1,6,7] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,2,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,2,6,7,1] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,3,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,6,1,4,8,7] => ([(0,1),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,8,6,4,7,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,7,4,8,1,6] => ([(0,3),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,5,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,5,8,1,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,1,5,3,4,6] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,4,7,2,5,1] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,4,5,7,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,5,7,3,1,6] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,3,4,7,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,4,7,8,2,1,5] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,1,4,7,6,2] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,5,1,3,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,5,2,7,3,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,8,5,2,6,4,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,7,4,5,1] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,1,3,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,8,1,5,4] => ([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,3,7,6,4] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,3,7,8,5,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,3,6,7,1,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,7,2,1,6] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,4,5,1,6] => ([(0,4),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,1,8,4,6,2,7] => ([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,6,8,3,7] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,1,2,6,5,8,3,7] => ([(0,6),(1,6),(2,3),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,8,3,2,6,7,5] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,2,7,5,8,1,3,6] => ([(0,3),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,6,2,7,8,3,1,5] => ([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,3,8,2,5,7] => ([(0,5),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[4,3,6,2,1,8,7,5] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,7,4,5,1,6,2,8] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,5,8,2,1,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,2,8,7,3] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,5,1,6,3,8] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,1,6,3,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,6,3,2,7] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,8,6,3,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,7,5,3,6,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,1,6,2,5] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,6,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,6,5,3,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,5,6,7,3,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,1,8,4,7,2,5] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,4,8,6,3,2,5] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,6,7,2,3] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,4,8,6,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,3,6,8,2,7,1,4] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,3,7,4,8,2,1,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,4,7,2,8] => ([(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,8,2,7,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,8,2,1,6] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,4,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,3,8,1,4,7,2,6] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,4,1,6,3,2,7] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,4,1,6,2,5] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,8,3,6,7,4,2] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,6,7,3,4] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,4,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,1,5,7,2,4] => ([(0,1),(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,2,5,7,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,6,5,3,7] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,7,4,8,2,6] => ([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,4,7,8,2,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,7,4,3,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,3,4,2,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,4,8,3,7,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,2,3,4,1,7] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,7,4,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,8,6,1,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,4,5,8,1,2,6] => ([(0,4),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,8,1,4,5,2,6] => ([(0,4),(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,2,1,6,3,4,7] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,3,7,5,2,6] => ([(0,4),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,7,8,5,3,6,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,4,7,2,8,6] => ([(0,4),(1,4),(1,6),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[2,4,7,5,8,3,6,1] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,8,2,1,7,6] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,3,7,1,2,6] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,7,3,1,2,6] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,5,1,3,2,6] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,1,5,2,6] => ([(0,6),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,7,2,4,3,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,8,5,4,2,7] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,2,7,4,5] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,7,5,8,3,6] => ([(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,6,8,2,7,5,4] => ([(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,4,3,8,2,7] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,5,6,2,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,3,6,2,7] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,5,6,3,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,5,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,7,5,4,1,3] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,3,7,1,5] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,4,3,1,7,6] => ([(0,1),(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,8,3,7,6] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,4,3,6,8,7,2,5] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,5,7,6,8,1,4] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,6,8,4,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,4,7,2,5] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,7,6,4,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,7,6,1,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,8,3,7,2,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,1,3,7,2,6] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,2,6,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,1,8,4,6,3] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,1,6,4,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,8,1,2,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,8,3,2,6,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,6,2,7,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,5,8,7,3,1,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,6,7,1,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,5,6,2,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,5,8,6,7,2,3] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,6,1,2,8,5] => ([(0,3),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,6,1,2,8,3] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[4,3,7,5,6,2,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,8,6,7,3,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,6,7,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,6,7,4,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,7,1,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,5,6,2,8,3] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,4,7,1,3,8,5] => ([(0,7),(1,5),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,8,6,4,7,2,1] => ([(0,4),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,5,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,7,2,1,8,5] => ([(0,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,8,4,6,1,7,2,5] => ([(0,5),(0,6),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,6,4,7,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,5,6,7,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,5,2,7,4,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,5,2,1,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,5,1,7,2,4] => ([(0,3),(0,6),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,7,3,2,8,5] => ([(0,3),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,6,7,2,8,3] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,7,1,3,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,3,7,8,4] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,4,7,2,3,8,5] => ([(0,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,2,5,4,8,3,7] => ([(1,6),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,5,8,2,4,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,3,2,1,8,4,5] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,3,1,4,8,6] => ([(0,6),(1,3),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,6,7,4,3,8,5] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,5,8,1,6,3,4] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,1,4,6,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,6,1,4,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,6,2,1,5,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,7,6,5,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,7,5,1,6,3] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,4,2,7,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,7,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,7,3,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,3,7,4,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,7,6,4,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,5,4,3,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,3,1,6,7] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,6,1,5,8,3] => ([(0,6),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,5,1,6,7] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,3,2,5,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,6,7,3,8,2,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,5,4,8,3,2,7] => ([(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,8,4,6,2] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,6,4,8,5,3] => ([(0,1),(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,7,2,4,6,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,6,4,8,5,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,6,4,2,5] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,5,4,2,6] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,6,5,4,2,8] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,5,3,2,8] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,5,3,2,7] => ([(0,7),(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,6,3,2,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,8,6,3,2,7] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,7,6,3,2,8] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,5,3,2,7] => ([(0,4),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,1,7,5,3,2,6] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,5,3,2,8] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,1,4,3,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,6,1,4,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,1,4,3,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,1,4,3,2,8] => ([(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,1,4,3,2,7] => ([(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,1,4,3,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,5,1,4,3,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,4,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,2,5,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,4,5,8,7,2] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,4,5,8,2,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,8,7,2,5,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[7,6,3,8,4,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,1,4,3,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,4,1,2,7] => ([(0,4),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,7,6,1,4,5,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,7,1,6,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,3,7,1,6,8,4] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,8,5,2,3,6] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,7,4,1,5,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,6,4,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,7,2,4,8,3] => ([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,4,2,5,8] => ([(1,6),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,2,7,5,4,3,6] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,3,7,2,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,3,2,6,4] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,4,2,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,7,5,4,2,3] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,6,3,1,2,8,5,4] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,1,4,2,8] => ([(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,5,2,6,4,8,3] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,6,8,2,4,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,8,4,6,3] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,5,4,8,6] => ([(0,6),(1,6),(2,5),(3,4),(3,7),(4,7),(5,7)],8)
[6,7,4,1,3,2,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,8,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,5,7,8,2,4] => ([(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,1,7,5,2,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,8,3,2,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,5,2,7,3] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,7,8,2,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,7,8,3,6] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,4,1,6,7,8,2,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,4,6,7,8,2,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,3,7,8,2,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,5,2,7,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,5,4,6,3,2,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,6,7,5,4,3] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,7,6,3,8,5] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,1,8,5,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,1,5,7,3,2] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,7,1,6,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,4,8,3,2,7] => ([(0,7),(1,2),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,5,8,4,6] => ([(0,1),(0,2),(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,6,4,7,8,2,5] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,1,3,7,8,2,6] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,1,7,8,4,6] => ([(0,1),(0,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,3,7,8,2,5] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,4,3,1,5,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,6,1,3,2,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,5,1,2,7,3] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,3,7,8,2,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,4,3,8,7,6] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,6,5,7,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,4,5,7,2] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,2,6,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,4,7,5,6,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,6,4,5,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,8,2,4,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,8,6,2,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,5,2,4,6] => ([(0,2),(0,7),(1,6),(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,6,1,5,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,5,1,7,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,3,5,1,6,4,7] => ([(0,7),(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,4,6,3,7,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,2,1,7,6] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,7,5,3,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,4,5,6,7,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,5,6,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,2,1,5,4,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,5,2,6,3,7] => ([(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,7,8,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,2,8,4,3,6,7,5] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,2,6,8,4,5] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,6,1,4,2,7] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,2,7,6,3,5] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,1,6,5,4,2] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,8,2,6,5,4,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,3,8,6,5,4,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,6,5,4,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,7,3,6,5] => ([(0,2),(1,2),(1,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,1,5,4,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,7,8,2,6,4] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,8,2,1,6,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,3,8,7,1,5,4,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,6,4,7,1,5,3,2] => ([(0,2),(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,5,3,2,8] => ([(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,6,2,1,8,5,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7),(6,7)],8)
[5,6,4,8,3,2,1,7] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,2,1,6,3] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,7,5,8,2,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,7,4,2,6,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,6,2,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,1,7,3,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,1,6,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,1,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,6,7,2,5,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,6,8,3,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,2,4,8,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,6,4,7,5,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,3,4,5,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,3,2,8,1,5,6] => ([(0,2),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,3,8,5,4] => ([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,3,7,5,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,1,6,2,5] => ([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,1,6,2,8,5] => ([(0,3),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,1,8,6,2,5] => ([(0,1),(0,3),(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,2,4,8,1,5] => ([(0,4),(0,7),(1,2),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,8,6,1,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,7,4,3,8,5] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,2,6,3,8,7,4] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(6,7)],8)
[5,1,2,7,3,8,6,4] => ([(0,6),(1,6),(2,4),(2,7),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,2,7,3,5,8,4] => ([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,3,2,1,8,6,4] => ([(0,1),(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,3,6,7,8] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,5,4,1,8,7,3] => ([(0,1),(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,2,1,8,7,5] => ([(0,1),(0,3),(1,3),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,1,8,7,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,7,6,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,4,7,6,3,2] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,4,8,6,1,5] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,3,2,8,6,1,5] => ([(0,1),(0,5),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,5,2,1,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,3,2,1,6] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,5,2,1,7] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,7,6,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,5,4,8,6,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,3,2,8,6,1,7] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,8,6,1,7] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,5,4,1,7] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,6,5,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,7,5,2,1,6] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,8,5,4,1,6] => ([(0,5),(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,4,3,2,1,5] => ([(0,1),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,8,7,2,5] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,1,3,7,2,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,1,8,2,6,3] => ([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,1,8,7,4,5] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,3,1,8,7,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[3,4,8,1,7,5,6,2] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,5,1,8,3,6,4] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,8,4,6,3] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,7,5,6,3] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,1,5,2,8,6,4] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,4,2,8,5,3] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,1,5,8,6,2] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,6,1,2,7,4,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,4,3,7,5,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,1,4,3,8,5,2] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,5,3,8,6,2] => ([(0,3),(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,2,4,7,5,3] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,6,4,8,3,5,2] => ([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,3,7,5,2] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,6,1,7,4,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,5,8,6,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,6,1,2,7,4,3] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,2,5,4,7,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,4,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,5,6,7,3] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,3,2,7,8,5] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,3,6,7,2,4,5] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,4,3,1,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,4,5,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,1,8,3,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,7,1,8,2,5,4,6] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,6,1,3,7,2] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,6,2,7,3,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,5,3,8,2] => ([(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,1,8,5,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(6,7)],8)
[4,2,5,6,7,8,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,5,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,8,4,5,1,6,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,3,2,7,1,5] => ([(0,2),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,2,3,7,1,5] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,1,7,4,5,2,6] => ([(0,1),(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,7,1,2,6] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,8,4,6,2,5,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,7,8,2,4] => ([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,2,5,4,7,1,6] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,5,1,7,4] => ([(0,3),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,6,2,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,5,8,6,1,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[4,6,8,5,2,7,1,3] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,7,8,5,2,6,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,4,1,6,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,5,3,1,7,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,2,3,5,4,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,2,7,8,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,5,2,3,4,8,7] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,1,7,3,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,2,4,8,6] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,5,1,7,4,8] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,4,8,5,3,7] => ([(0,7),(1,7),(2,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,1,7,2,5,8,4] => ([(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,5,8,1,7,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,2,7,3,4,6,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,5,8,6,4,7,2] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,6,7,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,4,8,5,3,2] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,3,6,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,1,6,5,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,5,3,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,4,6,5,3,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,6,1,4,5,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,3,8,5,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,5,3,4,8,6] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,8,3,6,4,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,8,3,1,4,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[1,7,8,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,5,1,6,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,7,2,6,4] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,8,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,8,6,4,5,2,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,4,3,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,7,5,6,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,7,5,6,2] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,1,3,8,6,7,2] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,6,8,5,3,4,7] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,3,1,2,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,5,3,8,1,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,5,7,3,1,2,4] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,4,2,6,8,7,3] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,2,4,7,1,8,5] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,8,6,2,4,3,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,6,2,4,3,7] => ([(0,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,8,6,3,7,1,2,4] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,3,8,1,2,4] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,5,3,1,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,3,6,8,7,4] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,7,2,1,5,3,4] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,3,6,1,4,8,2,5] => ([(0,4),(0,6),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,5,3,4,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,2,1,4,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,7,4,2,6] => ([(0,5),(0,7),(1,2),(1,4),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,6,4,3,7,1] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,4,1,7,5] => ([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,5,8,6,4] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,3,7,5,1,6,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,2,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,6,7,1,5] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,5,6,1,8,4] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,8,2,4,3,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,2,8,5,3,7,6] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,8,4,2,5,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,4,3,2,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,5,6,4,1,7] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,3,2,5,1,4] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,4,5,3,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,2,7,4,3,6,8] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,3,8,4,6,2,7] => ([(0,6),(1,5),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,8,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[2,7,3,5,1,6,8,4] => ([(0,6),(1,5),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,8,2,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[1,3,6,5,2,7,4,8] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,5,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,6,8,3,4] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,4,8,3,5,6] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,2,4,5,3,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,4,5,7,6] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,2,5,3,4,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,3,6,7,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,5,6,2,3,8,4] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,4,6,7,3,5] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,6,1,3,4,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,2,5,8,6] => ([(0,5),(1,6),(2,3),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,5,1,3,8,4] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,6,2,3,8,4] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,1,2,4,8,5] => ([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,5,7,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,3,8,2,5,6] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,5,3,4,8,2,7] => ([(0,6),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,5,2,8,1,4] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,8,4,1,5,6,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,3,6,7,2,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,8,4,3,7,1,5,6] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,6,7,1,2,5] => ([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,4,7,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,5,4,8,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,1,3,8,2,4,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[8,1,3,7,2,4,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,8,1,2,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,4,7,2,5,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,7,8,2,3,5] => ([(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,3,6,7,8,1,4] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,7,3,8,5,1,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,8,5,6,2,4] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,6,7,5,1,3,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,6,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,7,1,3,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,1,2,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,7,2,3,6] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,6,2,3,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,1,8,3,7] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,1,4,8,3,7] => ([(0,2),(1,3),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,3,8,2,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,2,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,4,2,6,5] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,1,4,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,5,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,1,3,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,5,6,4,2] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,5,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,7,6,3,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,5,7,6,3] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,4,7,6,3,5] => ([(0,1),(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,4,2,6,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,1,6,5,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,2,3,7,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,2,8,7,4,6,5] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,4,3,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,4,1,6,5] => ([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,7,6,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,7,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,3,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,8,7,2,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,3,4,6,7,2,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,2,6,7,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,5,1,7,4] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,7,4,6,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,7,5,6,3] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,5,6,4,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,5,4,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,8,5,4,1,7,2,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,5,7,6,3,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,2,7,5,6,4] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,6,4,2,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,3,6,5,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,1,6,5,3] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,6,5,2,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,8,1,7,4,6,2] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,3,6,5,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,6,8,1,5] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,1,2,5,6,4,7] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,2,5,6,4,8] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,4,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,5,2,7,3] => ([(0,6),(0,7),(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,3,8,5,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,6,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,4,2,7,1,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,7,3,1,5] => ([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,5,2,7,4] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,1,5,2,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,2,4,1,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,3,2,4,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,3,2,4,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,6,1,3,8,7] => ([(0,1),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,3,4,6,8,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,6,7,5,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,3,4,7,5,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,1,3,4,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,1,5,7,6,3,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,6,8,2,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,8,3,2,5] => ([(0,3),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,8,1,7,3,6] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,5,2,8,6,1,4] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,2,6,7,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,6,1,2,7,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,5,2,7,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,7,5,2,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,7,6,4,8,1,3] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,2,3,5,1,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,4,1,3,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,5,6,8,1,3] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,3,5,6,2,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,5,8,4,6,3,2] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,7,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,1,4,3,2,8,5,6] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,4,2,8,7] => ([(0,1),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,1,4,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,3,5,2,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,8,1,5,6,3] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,8,4,2,5,6,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,2,5,8,1,7,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,5,8,3,6,4] => ([(0,1),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,5,6,2,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,1,5,6,3] => ([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,4,8,3,1,5,6,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,5,8,3,7,4,2] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,5,8,7,4,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,3,7,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,3,7,2,1,6] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,6,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,3,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,3,4,1,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,1,8,2,5,6,4] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[7,2,3,8,1,5,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,8,7,3,2,1,5] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,6,3,1,5] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,2,3,1,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,8,3,5,6,4] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,6,3,8,2,4,7] => ([(0,7),(1,5),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,5,1,4,8,7,2] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,8,4,1,5] => ([(0,1),(0,5),(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,8,1,6,2,3] => ([(0,2),(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,5,8,7,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,8,1,4,2,7] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,5,8,2,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,3,1,5,8] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,1,5,4,2,7,3] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,7,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,6,4,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,7,2,4,8,1] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,4,3,7,1] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,6,5,8,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,3,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,8,3,5,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,4,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,3,5,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,8,2,7,1] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,1,7,8,3] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,6,3,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,6,2,7,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,4,8,3,7,1] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,2,3,5,1] => ([(0,1),(0,2),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,2,4,8,1,6] => ([(0,1),(0,7),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,2,3,8,6,1] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,2,5,8,1] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,8,4,6,1] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,2,8,4,6,1] => ([(0,3),(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,5,8,6,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,5,8,6,1] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,6,8,5,1] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,6,4,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,6,7,3,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,3,7,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,3,8,5,1] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,2,8,3,4,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,8,3,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,2,3,8,5,1] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,5,8,1,4] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,6,4,2,5,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,5,4,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,3,8,7,5,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,3,6,8,7,1,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,6,3,8,7,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,8,7,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,8,5,7,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,5,7,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,8,3,7,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,1,7,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8)
[2,4,6,5,8,3,7,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,8,1,7,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,8,5,1,7,3] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,8,7,3,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,6,8,7,1,5,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,4,6,8,7,1,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,8,5,1,3,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,6,5,1,8,3,7] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,5,3,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,5,8,3,1,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,5,3,1,7] => ([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,7,3,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,7,5,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,5,2,1,3,6] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,7,5,8,2,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,5,3,2,7,4] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,5,8,2,4,7] => ([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,7,8,5,3,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,7,8,4,5,3] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,7,8,5,4] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,3,1,7,4,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,1,6,5,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,2,6,5,1,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,1,7,6,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,3,8,1,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,3,8,7,1,4,2] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,3,8,2,7,6,5,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,6,5,3,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,5,4,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,6,2,5,1,4] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,1,6,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,7,5,4,2] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,7,1,5,4,2] => ([(0,1),(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,6,2,5,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,6,4,1,3] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,2,1,7,6,5,3] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,2,7,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,6,4,3,7,8] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,2,4,6,3,7,8] => ([(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,6,2,3,7,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,6,3,4,7] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,8,2,7,4,5] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,3,8,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,2,8,5,4,3,7] => ([(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,3,8,6,4,5] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,2,7,4,6] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[1,4,8,2,5,6,3,7] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,7,3,6,8,4,5] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,3,6,8,4,5] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,8,3,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,2,5,8,3,4,6] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,5,8,1,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,4,8,1,6,7,3] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,4,5,7,3,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,3,4,7,1,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,7,5,6,8,4,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,4,5,8,2] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,6,3,4,2,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,3,6,4,2,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,7,4,6,2,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,3,6,4,8,2] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,1,3,8,6] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,1,8,5,2,4] => ([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,5,8,2,1,7] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,8,6,3,1,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,1,8,6,3] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,2,1,8,6,3] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,5,3,6,2,1,7,4] => ([(0,3),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,1,2,8,6] => ([(0,1),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,8,3,2,7,6] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,2,4,8,7,5] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,5,3,8,4,1,7,6] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,3,1,8,6,4] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,2,4,8,7,5] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,5,2,3,6,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,4,5,1,2,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,3,7,6,4,1,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,3,5,4,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,6,5,3,4,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,4,1,3,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,5,1,3,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,1,7,8,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,8,5,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,7,1,4,2,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,1,4,3,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,8,2,5,3,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,8,5,1,4,2,6] => ([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,3,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,2,3,1,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,4,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,2,1,6,7] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,1,8,2,6,5] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,4,1,7,6,2,5] => ([(0,3),(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,1,8,4,6,5] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,5,2,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,7,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,7,6,4,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,2,4,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,3,7,8,2,6,1] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,7,3,6,2,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,8,4,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,2,7,3,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,5,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,1,5,4,2] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,8,4,6,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,5,6,2,1,4,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,7,4,5,3,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,7,5,3,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,7,5,1,3] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,5,1,4,8,3,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,5,3,8,2] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,3,6,4,1] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,3,8,4,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,6,8,4,2,7,3] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,4,1,8,2,6,3] => ([(0,2),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,2,7,5,3] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,5,3,2,6,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,5,1,7,6,4,3] => ([(0,1),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,8,2,5,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,7,8,6,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,6,1,4,3,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,8,6,1,3,5] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,8,6,5,2,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,8,6,3,1] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,5,3,1,7,8] => ([(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,6,3,2,7,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,5,4,1,3,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,7,5,3,2,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,1,5,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,6,4,3,2,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,3,1,8,4,2] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,7,8,6,5,3,2] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,8,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,3,7,2,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,5,8,2,6,3] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,5,8,3,6,4,1] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,6,5,3,1] => ([(0,1),(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,8,2,6,3,1] => ([(0,1),(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,6,5,2,7] => ([(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,7,8,1,4] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,4,1,2,6,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,4,8,5,2,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,8,4,1,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,4,5,1,8,3,6] => ([(0,1),(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,1,2,8,5,6,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,3,5,7,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,8,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,8,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,6,4,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,2,8,5,7,6,3] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,5,6,4,7,8,2] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,6,7,5,8,2] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,8,1,3,7] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,4,1,3,5,8,2,7] => ([(0,3),(1,6),(1,7),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,7,2,6,8,5] => ([(0,7),(1,2),(1,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,7,5,8,1,3,6] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,4,8,7,5,2] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,2,1,5,8,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,3,7,8,5] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[8,5,4,2,7,6,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,7,1,3,5] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,4,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,4,6,1,2,5,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,2,6,5,1] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,3,8,4,5,6,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,1,4,3,5,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,2,8,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(6,7)],8)
[2,6,7,1,3,5,8,4] => ([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,7,1,8,2,5,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,4,1,8,7,2,6,5] => ([(0,1),(0,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,7,2,8,6,4] => ([(0,3),(1,4),(1,7),(2,5),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[3,8,1,4,7,2,6,5] => ([(0,1),(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,2,7,6,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,8,3,2,7,6,5] => ([(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,1,2,7,6,5] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,8,4,2,7,1,6,5] => ([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,7,6,1,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,8,7,1,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,5,7,1,8,6,4] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[4,2,8,3,1,7,6,5] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,2,1,3,7,6,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,1,3,7,6,5] => ([(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[2,3,4,6,8,7,1,5] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,7,1,2,8,3] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[4,5,7,1,6,8,3,2] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,8,1,4,5] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,1,7,6,8,2,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,8,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,1,2,8,4,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,4,1,3,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,7,8,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,5,2,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,3,1,8,4,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,1,3,7,8,6] => ([(0,5),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(6,7)],8)
[3,4,1,7,8,5,2,6] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,8,5,2,6] => ([(0,6),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,1,8,5,2,7,6] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[7,6,3,5,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,2,7,8,6] => ([(0,3),(1,3),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,3,2,4,7,8,6] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,7,8,5,4,1,6] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,5,6,1,7,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,8,1,2,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,3,6,7,8,2,1,4] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,3,4,8,6,2,7,5] => ([(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,4,1,3,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,6,1,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,2,3,7,5,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,3,6,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,4,1,5,6,8] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,4,8,1,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,2,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,5,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,8,5,6,2,7,3] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,7,4,5,1,6,3] => ([(0,5),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,2,6,7,4] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,8,4,5,1,6,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,2,4,1,5,7,3] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,2,7,8,5] => ([(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,3,2,1,6,7,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,3,6,8,4] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,3,6,8,4] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,3,6,7,4] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,3,7,2,5] => ([(0,5),(0,7),(1,2),(1,4),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,3,8,2,1,4] => ([(0,1),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,8,3,7,1,4] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,5,8,6,7,1,3] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,6,3,4,1,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,4,1,8,6,5] => ([(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,7,8,5,1,3,6] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,3,8,4,1,6,7] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,7,4,5,6,2,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,3,5,7,1,6] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,4,3,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,7,2,4,6,5,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,3,2,4,6,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,3,7,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,4,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,5,7,1,6] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,4,1,5,6] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,4,6,5,8] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,2,6,5,1,7,8,4] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,6,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,2,8,6,7,4,1,5] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,7,3,1,5] => ([(0,3),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,6,7,2,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,8,7,1,5] => ([(0,1),(0,2),(0,3),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,6,5,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,6,3,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,8,6,4,5,1] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,6,8,4,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,3,2,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,1,7,8,3] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,1,7,6,3,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,6,5,2,7,8,3] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,1,6,7,2,8,3] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,5,3,1,7,2,4] => ([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,6,3,8,7,1,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,6,1,7,3,4,2,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,3,6,7,4,2,5] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,5,2,7,8,4] => ([(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,3,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,3,7,2,6,4,8] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,6,7,2,4,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,4,8,2,7,3,5] => ([(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,2,4,8,3,7,1,5] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,3,5,1,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,6,8,2,4,3] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,5,2,4,8,3] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,5,2,4,3,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,3,5,4,2,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,3,5,4,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,5,6,8,4,2] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,3,6,4,5,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,6,5,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,6,4,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,5,1,6,8,3,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,5,6,8,3,2] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,3,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,8,5,3,1,4,2] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,6,3,2,5,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,8,2,5,4,7,3] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,4,2,6,3,7,8] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,6,4,3,5,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,2,7,5,4,3] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,3,2,6,8,5] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,4,7,2,6,8,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,7,6,2,8,5,4] => ([(1,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,2,8,4,3,5] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,4,3,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,4,3,6,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,8,5,6,3,4,7] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,5,2,8,6,4] => ([(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,2,5,8,4,3] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,2,6,3,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,6,4,8,2,5,3] => ([(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,8,6,5,2,7,3] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,3,8,2,6,5,4,7] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,3,8,2,4,5] => ([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,7,6,4,8,3] => ([(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,3,8,7,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,7,2,5,6] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,6,2,4,5,7] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,4,2,6,7] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,8,6,5,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,3,2,8,7,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,5,4,3,7] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,4,6,5,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,4,6,5,2,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,1,2,6,4,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,8,1,7,5,2,3,6] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,5,2,6,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,2,6,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,5,6,2,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,1,6,4,7] => ([(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,2,6,3,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,1,6,3,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,1,5,2,6,3] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,1,5,2,3,6] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,4,1,3,2,5] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,6,8,4,1,3,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,5,4,1,2,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,5,1,3,6] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,5,2,3,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,8,6,3,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,5,3,4,7,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,3,4,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,3,4,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,3,6,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,5,3,6,2,4] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,5,4,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,8,3,6,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,8,2,5,4,6,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,5,3,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,3,7,6,2] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,8,2,6,3,5,1] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,6,3,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,7,3,1,6,4,2,5] => ([(0,4),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,6,4,5,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,4,6,5,2] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,7,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,7,8,5,3,2] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,1,8,5,2] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,6,2,5,4] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,2,5,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,2,4,6,5,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,7,3,5,6,2,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,4,6,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,4,6,2,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,2,6,1,5,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,7,6,4,2,8] => ([(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,1,6,4,8] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,3,1,4,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,3,2,7,5] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,4,2,5,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,7,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,6,7,5,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,5,8,4,3,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,8,5,4,2] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,7,4,3,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,6,8,5,4,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,7,5,4,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,4,5,3,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,4,5,3,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,7,4,5,3,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,4,6,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,2,8,3,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,5,8,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,7,2,5,8,1,4,3] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,7,3,8,1,4,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[6,3,7,4,8,2,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,8,1,5,2] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,2,7,4,8,1,5,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,7,5,1,4,3,8,2] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,4,3,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,5,3,8,6,4] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,6,1,3,4] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,3,4,2,6] => ([(0,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,2,3,6,7,1,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,5,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,4,8,7,5,3,1,6] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,5,3,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,1,4,3,8,7] => ([(0,1),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,4,3,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,3,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,5,3,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,7,5,3,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,5,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,6,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,7,3,6,5] => ([(0,1),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,6,5,2,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,2,6,5,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,3,4,6,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,3,6,5,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,6,5,3,4] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,6,5,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,4,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,3,4,6,5] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,4,3,6,5] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,3,4,1,6,5] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,6,3,4,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,3,1,6,5] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,3,1,4,6,5] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,8,7,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,3,1,2,6,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[2,8,7,5,6,3,1,4] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,3,1,6,4] => ([(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,3,6,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,5,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,7,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,4,6,5,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,3,6,5,1] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,3,6,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,1,2,6,5,3] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,1,2,6,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,3,6,5,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,1,6,5,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,5,4,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,4,5,3,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,4,3,5,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,5,1,2,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,2,8,3,1,6] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,5,2,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,1,8,4,6,3] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,4,3,1,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,7,4,2,1,5] => ([(0,3),(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,8,4,1,5] => ([(0,1),(0,4),(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,4,2,1,6] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,5,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,1,3,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,5,8,2,1,3,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,3,5,2,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,7,2,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,7,6,3,5] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,6,8,2,4] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,4,7,6,8,2,5] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,4,7,8,5,3,6] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,7,3,6,8,2,4] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,6,1,7,3,2,4] => ([(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,6,5,4,7] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,6,5,4,7] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,1,8,4,3,6] => ([(0,4),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,1,6,8,2,4] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,4,7,6,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,7,5,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,4,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,4,3,7,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,2,7,6,4] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,5,6,3,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,6,8,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,1,6,3,4,8,5] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,4,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[2,7,1,3,8,4,6,5] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,1,6,2,5,4] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,2,1,4,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,5,1,2,6,4] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,1,2,8,5] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,7,6,1,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,7,3,5,6,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,6,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,1,5,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,5,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,1,6,4,7,2] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,4,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,7,5,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,1,6,4,2] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,6,1,5,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,7,3,1,5,2,8] => ([(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,1,6,4,2,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,2,6,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,2,7,5,3] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,2,5,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,4,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,5,3,6,1,8] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,5,2,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,2,5,3,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,1,5,7,3] => ([(0,5),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,6,1,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,5,3,1,6,2] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,8,3,2,5,7] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,8,5,3,2,6,7] => ([(0,7),(1,7),(2,3),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,2,7,3,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,4,2,5,8,6] => ([(0,7),(1,4),(2,3),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,7,4,3,5,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,5,2,4,3,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,5,1,4,7,3] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,2,1,6,8,7,3] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,2,8,6,5,1,4,3] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,1,5,3,2] => ([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,1,4,5,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,2,4,3,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,1,2,5,4,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,1,2,4,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,6,5,3,4,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,6,2,4,7] => ([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,5,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,8,1,6,4,5,7] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,1,3,7,6,4,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,4,1,2,8,3,7,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,4),(4,5),(5,6),(5,7),(6,7)],8)
[5,8,4,1,2,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,2,5,3,4,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,3,2,8,4,5] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,3,2,7,4,5] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,7,2,8,4,6] => ([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,6,2,8,5,3,7] => ([(1,6),(2,3),(2,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,6,2,8,4,3,7] => ([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,5,7,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,4,6,8,3] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,7,6,8,3,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,6,1,7,2,4] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[2,3,7,1,8,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,1,7,8,5,3,4] => ([(0,1),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,8,4,7,5] => ([(0,1),(0,2),(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,3,1,6,5,7,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,8,5,4,2,7,3] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,4,2,1,7,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,4,5,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,2,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,6,4,7,3] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,5,6,3,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,3,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,7,3,2,5,6,4] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,2,3,8,6,4] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,6,2,4,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,8,4,6,1,5,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,4,6,2,8,1,5,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,5,8,2,3,6,4] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,6,4,8,2,1,5,3] => ([(0,1),(0,3),(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,2,3,5,7] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,2,1,8,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,2,5,7,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,8,4,7,3] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,6,5,7,3,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,4,3,8,7,2] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,8,1,3,7,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,7,1,6,4,5,8,2] => ([(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,1,4,6,7,8] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,8,7,5,4,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,4,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,8,2,5,6,3] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,7,2,5,6,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(6,7)],8)
[4,1,5,7,3,2,8,6] => ([(0,4),(1,2),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,7,2,8,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,2,8,5,4] => ([(0,5),(0,6),(1,3),(1,7),(2,3),(2,4),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,5,3,1,6,7] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,4,8,2,6,7] => ([(0,6),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,4,5,7,8,2,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,4,7,1,8,5,2] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,5,1,3,4,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,4,5,6,8,2] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,6,3,1,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,5,6,2,7,4] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,2,5,6,1,7,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,1,6,8,7,3] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,4,2,7,8,6,1,3] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,7,6,8,5,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,5,2,6,3,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,2,5,3,8,4] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,4,8,1,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,8,6,2,4] => ([(1,2),(1,5),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,5,1,8,2,3,4] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,2,4,3,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,1,5,3,8,4] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,8,7,1,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,3,1,7,6,5,2] => ([(0,1),(0,5),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,1,6,4,2] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,1,6,4,2] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,1,7,6,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,7,2,6,5,1,4] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,8,6,5,3,2] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,1,7,6,3] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,8,4,2,1,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,1,6,3,2] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,3,1,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,1,4,7,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,1,2,5,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,4,2,5,8,3] => ([(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,5,8,1,2,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[1,6,7,5,8,3,2,4] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,8,6,5,7,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,6,8,4,7,3] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,4,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,3,6,1,2,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,5,3,6,4,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,3,8,1,6,2] => ([(0,1),(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,5,8,6,3,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,5,6,8,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,5,6,8,3,1,4] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,7,5,3,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,5,6,3,8,4,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,3,1,4,8,6] => ([(0,5),(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,8,3,1,4] => ([(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,3,2,4,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,1,8,3,2,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,2,1,5,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,2,8,4,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,2,8,5,1,4] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,3,8,5,2,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,2,5,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,6,2,7,4,1,3] => ([(0,1),(0,3),(0,5),(0,6),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,8,5,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,7,8,3,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,2,8,5,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,3,2,4,1,6] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,8,7,3,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,1,7,2,6,4,5] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,2,8,7,3,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,1,2,8,3,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,7,1,6,2,4,3] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,1,7,6,2,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,1,4,8,2,7,5] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,5,6,1,7,2,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,6,1,3,8,4,2] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,1,3,8,4,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,4,2,8,5,3] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,4,8,3,7,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[7,4,5,1,3,8,6,2] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,8,4,2,3,6] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,6,4,2,5,7,8] => ([(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,5,7,8,3,6,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,8,3,6,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,5,7,8,2,4,3,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,7,3,2,1,5] => ([(0,2),(0,3),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,2,7,1,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,3,2,7,5] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,5,3,2,1,7] => ([(0,4),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,4,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,8,4,2,7,5] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,2,4,6,8,5] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,5,7,8,3,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,1,8,2,6,7,5,3] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,7,8,2,1,4,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,1,6,3,4,8] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,8,3,6,5,1,7] => ([(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,7,2,4,5,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,2,4,5,3] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,5,6,3,4,8,1,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,4,7,8,6,1,3] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,3,4,8,5,6] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,5,7,1,8,6,3] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[8,1,6,2,3,4,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,5,7,8,3] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,5,2,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,4,7,2,5] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,2,5,6,3,8] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,2,6,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,7,2,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,2,5,1,7,6] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,8,3,5,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,5,3,6,8,7,2] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,6,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,1,5,7,3,2] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,5,2,7,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,7,8,5,6,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,3,8,5,1,7,4] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,5,4,1,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,1,7,2,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,6,5,1,8,2,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,8,7,3,2,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,4,8,3,6,5,2,7] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,6,4,7,2,5] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,4,3,7,5] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,6,8,3,2,5] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,6,2,3,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,8,4,5,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,1,8,7,2,4,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,7,2,1,6] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,8,7,3,4,5] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,5,1,7,6,2,8,3] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,8,7,4,3,2] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,8,6,4,3,2] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,7,6,4,3,2] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,6,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,1,5,4,2] => ([(0,1),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,4,1,6,2] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,8,7,2,6] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,8,1,5,2,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,5,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,2,7,4,3] => ([(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,7,2,6,4] => ([(0,1),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,5,3,4,2,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,6,4,3,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,6,1,4,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,8,1,4,6,3] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,6,7,1,8,5,4] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,4,6,7,8,2,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,7,8,4,1,5] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,4,8,5,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,1,3,8,5,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,1,8,5,2,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,6,7,8,5,3,4] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,4,8,3,2,5] => ([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,8,3,2,5] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,5,4,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,6,5,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,2,4,1,8,3] => ([(0,4),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,1,5,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,7,2,3,5,4] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,6,1,2,7,3,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,8,2,7,1,5,4] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,1,4,5,7,3] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,2,5,4,1,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,8,7,5,1] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,6,5,1,3] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,8,6,5,3,2] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,3,6,1,5] => ([(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,6,1,5,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,8,7,2,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,5,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,8,7,5,3] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,4,8,7,2,5] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,6,8,7,5,2,3] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,1,4,5,7,2,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,4,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,8,3,5,2,7,6] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,1,2,5,4,7,6] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,3,6,8,7,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[4,2,8,3,5,1,7,6] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,5,7,6,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,2,4,5,7,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,1,4,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,5,7,1,3,6] => ([(0,4),(0,6),(1,2),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,1,5,2,4,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,1,3,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,4,2,5,6,3,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,1,4,6,5,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,3,2,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,5,6,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,5,6,8,4] => ([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,1,5,8,7,4] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,6,1,5,8,7,4] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,4,7,1,5,6,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,7,4,1,2,8,5] => ([(0,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,7,1,6,8,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[7,3,2,8,1,6,4,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,1,5,6,3,2] => ([(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,8,1,5,3,7,4] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,2,1,5,3,7,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,5,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,2,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,5,3,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,4,8,7,1] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,8,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,5,2,8,6,7,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,3,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,8,6,7,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,5,6,8,3] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,7,4,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,6,8,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,4,3,8,6,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,2,5,4,7,3] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,1,8,5,2,7,3] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,5,4,7,3] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,2,8,5,6,4,3] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,8,5,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,4,8,5,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,5,4,7,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,8,4,6,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,5,8,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,4,8,2,6,7,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,8,3,6,7,1] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,8,4,7,1] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,3,5,4,7,2] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,3,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,3,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,7,8,5,4,3] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,8,3,2,5,1] => ([(0,2),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,7,1,6,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,6,1,2,3,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,6,3,2,8,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,4,6,7,3,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,3,1,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,4,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,8,5,4,2,6] => ([(0,2),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,8,3,1,2,5] => ([(0,1),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,6,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,8,5,1,3,4,7] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,8,6,1,4,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,1,3,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,4,2,1,5,3,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,1,3,6,2,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,7,5,1,8,3,6] => ([(0,1),(0,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,5,3,8,2,7] => ([(0,5),(1,2),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,6,3,8,2,7] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,7,3,2,5] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,6,3,5,2] => ([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,1,7,3,6,2] => ([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,6,2,1,7,5] => ([(0,3),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,4,1,7,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,4,6,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,8,5,3,1,6,4] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,4,8,7,3,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,7,3,1,5] => ([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,1,7,4,2,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,7,5,2,4] => ([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,4,8,3,1,6] => ([(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,5,1,3,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,6,2,8,4,3] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,7,8,4,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,5,6,2,3,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,5,6,1,4,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,8,1,2,5,6,3] => ([(0,1),(0,2),(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,1,2,5,7,3] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,7,2,5,8,3] => ([(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,1,5,3,4] => ([(0,1),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,3,2,7,4,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,3,7,5,8,1] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,6,1,8,4,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,5,7,1,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,3,5,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,3,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,4,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,1,5,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,6,7,8,5,1,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,7,1,6,4,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,6,5,3,4] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,6,8,2,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,2,8,3,4,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,6,8,1,3,7,2,4] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[3,7,4,8,6,1,2,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,1,6,7,4,2,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,4,6,1,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,7,4,3,8,1,5] => ([(0,6),(0,7),(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,4,6,2,3,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,4,6,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,6,5,4,7,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,8,7,3,2,5] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,6,7,3,8,2] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,4,6,2,8,5] => ([(0,7),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,6,3,2,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,8,6,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,3,4,7,2,5] => ([(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,6,3,5,2,7,4] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,8,3,5,2] => ([(0,2),(0,6),(1,3),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,2,8,4,1,7] => ([(0,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,4,2,5,3,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,7,5,2,6,3] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,6,4,2,3,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,6,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,2,1,3,6] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,2,5,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,8,7,3,6] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,4,8,6,3,5,7] => ([(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,7,3,8,6] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(6,7)],8)
[8,6,3,5,7,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,2,1,4,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,8,4,3,5] => ([(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,2,5,7,8,4] => ([(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,3,4,2,6,8,5] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,3,5,8,4,2,7] => ([(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,3,2,8,4,7] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,5,8,4,6,3,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,3,2,7,8,4,6] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,8,6,2,3,7,5] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[7,5,8,6,2,3,4,1] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,4,3,8,5,2] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,3,6,8,5,2] => ([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,5,7,8,4,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,3,2,7,8,4] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,7,6,8,4,5,3] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,7,5,3,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,1,7,4,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,8,4,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,7,2,6,4,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,5,3,4,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,4,5,3,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,4,3,5,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,3,5,4,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,7,1,6,3,5] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,5,3,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,4,3,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,3,5,4,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,5,4,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,1,5,3,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,2,8,1,6,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[8,3,5,4,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,3,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,1,2,5,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,2,5,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,4,2,5,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,8,6,1,3,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,7,3,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,5,4,1,2,6,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,5,3,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,3,4,2,8,6] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,5,6,4,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,7,8,4,6,2] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,8,2,6,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,7,5,8,6,2,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,8,4,1,2,6] => ([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,6,8,1,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,1,2,7,5,8,4,6] => ([(0,5),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(6,7)],8)
[3,1,2,5,7,8,6,4] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,2,8,5,6,4] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,1,7,4,6,8,2] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,3,5,6,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,2,3,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,5,6,1,3] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,2,4,6,1,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,1,4,8,5,2,7,3] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,4,5,8,1,6,7,2] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,8,4,7,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,5,2,7,4] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,8,1,5,6,4,7] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,1,2,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,1,8,2,3,6,7,5] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7)],8)
[5,2,3,8,1,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[1,5,3,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[8,6,2,7,5,1,4,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,1,3,2,8,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,5,4,6,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,4,6,3,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,3,1,7,2,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,6,3,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,2,8,6,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,1,8,6,5,4,3] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,1,8,5,4,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,3,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,3,1,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,2,8,6,7,4] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,3,2,6,7,4] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,3,2,8,4] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,7,5,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,5,2,4,8,6,3] => ([(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,4,8,6,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,3,5,7,4] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,8,4,3,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,7,4,2,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,8,4,2,3,5] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,7,8,3,4,2,5] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,5,6,2,8,4] => ([(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,3,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,4,6,3,8,5] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,4,5,2,3,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,3,4,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,4,5,6,3,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,2,3,4,1,5] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,8,7,5,2,6,1,4] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,2,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,1,6,7,4,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,3,7,6,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,1,8,3,6,7,4,2] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,4,6,2,7,5] => ([(0,3),(1,6),(1,7),(2,4),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,5,2,3,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,4,3,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,7,5,3,4,2] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,2,4,1,5] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,3,7,5,6,8,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,4,5,1,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,6,3,1,5,2] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,4,7,8,1] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,7,4,8,1] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,6,4,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,8,4,6,1] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,5,7,4,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,4,8,6,1] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,2,4,8,6,1] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,4,8,6,1] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,8,2,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,4,1,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,5,2,1,4,6,7] => ([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,8,2,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,1,6,3,8] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,3,4,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,6,7,4,3,5] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,6,3,7,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,8,1,2,5,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,1,3,4,8,5,7,6] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,2,6,8,3,4] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,3,6,8,7,4] => ([(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,7,4,1,8,2,6] => ([(0,1),(0,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,4,7,5,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,2,5,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,1,6,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,6,1,5,2,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,5,6,1,4,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,3,5,4,2,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,5,7,4,6] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,5,8,4,6] => ([(0,1),(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,5,7,2,1,4,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,5,7,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,8,4,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,1,4,7,6,3,5,8] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,5,3,8,1,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,6,7,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,3,7,8,2] => ([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,7,6,3,4,8,2] => ([(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,5,4,8,2,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,1,6,8,4,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,8,2,4,7,6,3] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,1,6,4,7,3,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,5,7,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,4,7,3,5,2] => ([(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,8,2,7,4,5,3] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,2,1,8,4,3,6] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,6,8,3,2,4] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,2,1,8,3,4,7] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,1,7,3,8,2,5] => ([(0,4),(0,6),(1,3),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,6,7,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,2,4,6,8,3,1,5] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,7,8,1,3,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,4,3,2,8,5,7] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,6,1,5,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,6,5,7,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,6,4,2,5,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,7,5,1,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,7,2,6,8,5,3] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,5,1,6,3,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,8,1,4,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,3,8,4,1,6,5,7] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,7,3,1,6,2,8] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,8,7,4,6,3,2] => ([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,5,1,3,6] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,7,6,1,8,4,2] => ([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,7,6,2,8,4,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,3,2,8,7,6,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,4,3,8,7,5,2] => ([(0,6),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,8,7,4,2,5] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,3,6,2,8,7,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,1,8,7,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,4,1,3,7,6,5] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,4,7,6,5,2] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,8,7,5,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,5,8,7,6,2] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,7,5,8,1,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,3,4,1,5,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,7,5,4,3,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,8,1,4,3,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,6,2,8,4,7,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,7,4,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,7,1,8,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[2,6,5,7,3,8,4,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,7,4,1,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,1,7,8,5,3,2,4] => ([(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,7,1,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,4,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,4,2,5,8,3] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,7,1,5,4,2,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,1,5,7,6,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,8,2,7,1,6,4] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,2,7,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,6,3,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,2,6,8,4] => ([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,3,4,5,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,6,8,4,5,2] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,2,6,7,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,5,2,7,1,4,8] => ([(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,7,1,5,2] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,1,6,5,2,8,4] => ([(0,6),(1,2),(1,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,5,2,7,1,6,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,4,6,3,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,6,4,7,1,5,2] => ([(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,1,4,8,6,5,2] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,4,5,2,8,6] => ([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,7,6,5,8,1,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,6,8,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,2,5,3,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,3,7,5,1,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,7,5,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,3,6,4,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,6,4,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,7,4,1,8] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,7,5,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,7,3,6,4,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,2,5,4,1,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,5,4,1,7] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,1,4,6,5,2,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,5,4,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,3,6,4,1,7] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,4,6,5,1,7] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,3,6,5,2,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,1,6,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,6,4,1,5,3,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,3,7,5,2,6] => ([(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,4,8,5,3,7] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,1,4,8,6,3,7] => ([(0,5),(1,2),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,1,5,8,6,4,7] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[4,2,8,3,7,5,1,6] => ([(0,4),(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,3,7,4,1,6] => ([(0,5),(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,2,6,4,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,8,5,2,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,7,4,8,5,2,6] => ([(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,7,4,1,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,8,4,1,5] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,3,8,4,1,6] => ([(0,3),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,4,8,5,1,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,3,8,4,1,7] => ([(0,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,8,4,1,7] => ([(0,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,8,4,1,6] => ([(0,6),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,3,7,4,1,6] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,8,5,2,7] => ([(1,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,5,4,8,6,2,7] => ([(1,7),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,7,5,1,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,3,8,5,1,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,4,3,8,5,1,7] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,4,3,8,6,1,7] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,3,8,6,1,7] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,5,3,1,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,3,1,7,5,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,3,1,6,5,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,6,4,2,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,6,5,2,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,7,6,3,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,1,6,4,8] => ([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,1,7,4,8] => ([(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,1,7,5,8] => ([(1,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,4,1,7,5,8] => ([(1,5),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,7,4,1,6,5,8] => ([(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,7,3,1,6,5,8] => ([(1,2),(1,6),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,3,1,6,4,8] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,3,1,5,4,8] => ([(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,6,3,1,5,4,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,8,6,3,7] => ([(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,3,7,5,2,6] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,3,7,4,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,4,7,5,8] => ([(1,7),(2,6),(3,4),(3,5),(4,5),(6,7)],8)
[3,2,8,5,1,6,4,7] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,1,5,3,7] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,4,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,2,5,6,4,8] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,4,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,7,4,3,6] => ([(1,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,8,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,8,2,7,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,8,3,1,5,2,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,5,3,2,6,8,4] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,1,5,7,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,6,8,5] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(6,7)],8)
[3,2,1,7,8,5,4,6] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,2,1,5,8,6] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,7,8,5,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,2,4,7,8,5] => ([(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,1,5,6,2,3] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,7,1,8,4,2,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,6,2,4,5,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,4,5,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,4,3,8,5,6,2] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,8,3,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,8,5,6,2,3] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,5,8,1,6,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,5,7,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,1,4,7,5,8,3] => ([(0,7),(1,2),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,5,4,7,3,8] => ([(1,6),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,8,4,1,7,5] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,2,8,6,3,5,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,4,2,3,7,1,6,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,8,7,3,1,6] => ([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,7,4,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,6,7,8,1,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,8,1,3,7,4] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[4,8,1,6,3,7,5,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,6,4,3,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,6,1,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,2,7,4,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,4,6,7,1,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,6,1,8,5,3] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,2,4,8,6,3,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,1,8,5,4,6] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,1,6,4,8,5] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,2,1,8,4,7] => ([(0,2),(1,6),(1,7),(2,3),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,4,3,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,2,1,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,2,8,1,6,7,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[4,5,8,3,2,7,1,6] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,7,3,4,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,8,2,3,6,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,2,1,6,7,5] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,4,6,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,2,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,5,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,8,3,1,5,2] => ([(0,1),(0,2),(0,5),(0,6),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,1,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,7,6,4,2,3] => ([(0,1),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,8,3,4,2] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,6,2,5,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,8,2,6,4,7,3] => ([(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,6,8,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,6,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,8,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,1,2,6,4,5,7,3] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,2,5,6,3] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,7,1,5,4,8,3] => ([(0,7),(1,2),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,6,5,8,1,4] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,5,8,2,6] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,4,5,6,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,7,4,5,8,3,6] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,5,8,1,4] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,8,4,5,3,7,2] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,5,1,8,7,3] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,4,6,2,8,7,3] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,5,2,1,6,8,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,1,2,6,3,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,4,6,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,1,3,6,8,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,7,2,6,8,1,5,4] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,4,8,6,5,1,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,5,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,4,5,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,7,8,6,2,3] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,6,8,2,5,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,6,8,5,2,4,3] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,6,4,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,8,6,2,4,3] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,6,2,1,4,7,8,5] => ([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,7,5,4,3,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,7,6,4,3,2] => ([(0,1),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,1,5,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,4,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,4,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,6,3,2,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,6,3,4,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,6,1,5,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,5,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,8,7,1,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,3,7,2,6] => ([(0,5),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,1,8,5,2] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,4,1,5,8,3] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,7,4,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,6,7,1,4] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,5,1,7,6,3,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,6,3,7,1,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,4,3,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,4,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,1,4,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,3,2,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,2,1,5,6,4] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,7,4,3,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,4,8,7,1,3] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,4,8,5,1,6,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,7,6,8,5,1,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,6,2,8,5,4,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,3,8,5,2,4] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,8,1,3,5,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,2,8,5,1,3,6,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,8,5,3,2,6,4] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,2,5,6,4,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,8,7,2,4,3] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,7,4,8,3,2] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,7,8,3,4,2] => ([(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,1,8,5,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[4,2,6,3,1,8,7,5] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[6,1,4,2,5,8,7,3] => ([(0,7),(1,2),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,4,6,2,7] => ([(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,5,8,4,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,8,5,1,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,6,4,8,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,1,5,6,3] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,1,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,3,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,8,3,6,2,5] => ([(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,7,6,2,3] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,8,4,2,1,6] => ([(0,6),(0,7),(1,2),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,8,3,4,2,7] => ([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,5,1,3,2,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,1,7,3,4,8] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,2,6,8,3,7,1,5] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,4,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,4,5,1,3,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,5,3,4,6,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,8,3,6,4,7,2] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,1,4,2,7,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,5,6,3,7,2] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,2,6,5,3,7,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,2,6,5,4] => ([(0,1),(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,1,2,6,5,4] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,2,3,5,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,6,5,7,3] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,7,4,6,2] => ([(0,5),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,1,5,4,6,2] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,5,3,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,4,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,5,3,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,6,3,4,8,5] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,3,2,4,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,2,6,3,4,5,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,6,2,5,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,4,2,3,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,1,7,2,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,2,4,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,3,2,6,1] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,7,2,6,5] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,3,2,8,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,2,6,8,4,7] => ([(1,7),(2,5),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[5,4,3,1,7,2,8,6] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,8,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,2,8,6,1,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,7,8,2,6,1] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,6,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,8,7,2,5,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,8,7,1,4,2,3,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,6,3,7,1,4,5,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,8,4,3,1,5,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,4,1,3,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,5,8,4,1,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,5,8,3,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,5,4,3,2] => ([(0,1),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,1,5,8,3,4] => ([(0,4),(0,5),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,8,2,1,5] => ([(0,2),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,8,2,1,6] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,6,3,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,8,5,4,3,6] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,3,6,2,1,7] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,7,1,4,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,8,6,2,7,5,1,4] => ([(0,3),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,7,3,6,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,4,5,1,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,4,6,3,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,4,5,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,4,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,3,4,5,1] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,1,2,4,6,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,7,5,8,2,4,6] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,3,2,4,6,5,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,5,6,4,2,3,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,5,4,3,2,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,1,5,4,3,7] => ([(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,2,1,4,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,8,5,3,7,6,1] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,5,3,8,6,1] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,8,3,2,7] => ([(0,2),(1,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,8,3,1,2,6] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,8,1,3,7,2,6] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,6,8,7,2,4] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,8,1,4,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,7,2,6,8,3,5,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,8,7,4,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,5,6,2,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,8,7,6,2,4] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,1,6,5,7,3,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,6,5,7,2,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,7,6,4,5,8,3] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,5,1,8,3,4] => ([(0,2),(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,5,6,3,1,7] => ([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,5,1,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,8,7,1,6] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,8,4,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,2,5,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,1,8,3,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,2,7,3,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,1,4,6,8,2,7] => ([(0,5),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,4,2,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,5,8,1,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,4,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,4,8,7,1,3] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,2,4,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,4,3,6,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,5,3,1,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,5,2,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,1,3,6,7,2,8,5] => ([(0,5),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(6,7)],8)
[7,8,1,6,5,2,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,6,5,1,2,3] => ([(0,2),(0,3),(0,4),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,6,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,7,2,6,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,2,7,3,1,6] => ([(0,4),(0,6),(1,3),(1,5),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,7,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,8,2,7,3,1,5] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,3,6,4,2,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,8,3,2,1,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,2,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,2,8,1,6] => ([(0,1),(0,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,2,4,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,3,4,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,8,5,1,2,7] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,8,2,3,5,1,7] => ([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,8,2,3,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,4,1,2,3,7] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,5,1,2,3,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,8,3,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,2,3,1,4,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,4,7,8,2,1,3,6] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,3,1,2,4,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,8,5,2,1,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,1,3,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,1,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,7,2,1,8,6,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,4,8,3,7,2,1,6] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,2,1,7,4] => ([(0,6),(0,7),(1,3),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,4,7,2,8,3] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,8,3,2,7,1,6] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,2,1,6,8] => ([(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,8,2,1,6] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,6,3,2,7,5] => ([(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,2,5,7,3] => ([(0,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,5,3,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,8,1,2,7,5] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,3,1,5,8,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,3,2,6,5,8,4] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,5,8,7,4,2] => ([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,4,6,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,8,4,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,4,7,3,2] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,3,4,1,5,7] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,8,7,6,3,5] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,4,7,2,6] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,7,5,1,6,4] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,4,7,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,4,1,3,6] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,5,6,2,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,5,1,7,4,2] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,4,6,1,3,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,3,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,6,1,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,8,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,6,1,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,3,5,2,8,6] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,3,8,1,5,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,2,7,6,4,1,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,1,8,4,7] => ([(0,1),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,6,2,7,1,5] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,4,6,3,7,5] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,2,7,5,4] => ([(0,1),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,6,7,2,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,4,6,1,3] => ([(0,2),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,7,6,4,3] => ([(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,4,6,5,3,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,6,5,8,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,6,8,7,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,3,7,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,1,6,3,7,4] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,3,5,4,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,6,4,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,8,5,4,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,6,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,8,4,3,7,1,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,1,5,2,4,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,4,3,8,5,6] => ([(0,1),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,2,3,8,5,4,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,7,6,3,8,2] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,2,3,6,5,7] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,6,7,3,5,2,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,2,6,7,5,3] => ([(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,2,4,5,8,6] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,2,5,7,8] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,3,1,7,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,6,8,7,4,3] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,6,2,7,4] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,8,5,4,2,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,7,4,2,6] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,5,4,6,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,6,3,5,7] => ([(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,5,7,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,5,3,4,7] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,2,3,6,8,7] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,3,4,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,4,8,6,7,5] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,1,2,5,8,7,4,6] => ([(0,5),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,8,4,7,3] => ([(0,3),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,2,8,1,4,6] => ([(0,4),(0,6),(1,3),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,7,3,2,8,6] => ([(0,7),(1,2),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,5,8,6,2,3,7] => ([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,8,6,3,7,1,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,3,1,8,7,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,8,3,1,6,2] => ([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,3,6,1,8,4,7] => ([(0,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(5,6),(6,7)],8)
[2,5,6,8,3,1,7,4] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[7,1,4,5,3,6,2,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,5,3,2,6,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,7,3,5,2,8] => ([(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,8,2,1,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,7,5,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,6,7,4,3,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,1,4,3,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,8,3,1,6] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,8,2,3,1,7] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,2,5,7,4] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,4,6,3,2] => ([(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,6,7,8,1,5,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[3,4,6,7,8,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,7,3,8,5,1,6,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,2,7,5,8,1,6] => ([(0,6),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,5,3,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,3,6,1,7] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,2,4,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,3,6,5,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,3,2,7,4,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,7,8,1,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,3,7,8,1,5,4,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,8,1,5,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,5,8,1,6,4,2,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,4,3,7,5,6,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,5,3,2,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,4,1,5,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,3,8,5,1,6] => ([(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,7,3,1,5,4] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,6,3,4,1,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,8,5,3,7,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,8,3,6,7,2] => ([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,8,1,6,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,2,1,5,8,6] => ([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,4,6,3,5] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,3,6,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,3,2,7,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,5,6,8,2,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,8,7,3,1,6] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,3,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,3,1,7,8,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,6,8,4,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,7,8,4,3,5] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,1,3,8,4,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[5,2,7,8,4,1,6,3] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,8,3,5,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,6,4,1,7,3] => ([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,8,4,3,7,6] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,2,6,4,8,1,3] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,4,7,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,8,4,3,5,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,3,7,5,8,4] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,7,3,4,5,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,7,8,1,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[7,4,3,2,5,8,1,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,3,5,8,1,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,8,6,4,7] => ([(1,2),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,4,7,2,8,5,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,7,2,4,8,5,3] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,2,4,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,4,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,6,1,7,4,5] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,5,2,6,7] => ([(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,4,5,6,2,7,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,8,2,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,5,3,1,7,4,6] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,1,7,4,2] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,3,8,4,6,1] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,1,4,8,3,6] => ([(0,4),(1,2),(1,7),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,1,2,8,3,4] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,5,1,8,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,3,2,6,8,4,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,8,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,8,2,4,6,5] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,4,8,5,3,1,6] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,8,4,2,7,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,8,6,2,7,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,6,8,1,3,2,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,6,1,5,8,4,7,2] => ([(0,1),(0,7),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,5,7,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,2,4,1,7,6] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,4,1,3,6,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,2,4,3,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,3,5,7,2,6,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,2,3,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,5,8,2,4,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,4,6,3,5] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,3,7,4,2,6] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,2,8,4,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,8,1,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,3,8,1,2,5,4,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,8,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,2,4,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,6,5,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,2,6,5,3,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,8,7,4,3,5] => ([(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,4,3,5,8,6] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,2,8,7,4,3,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,2,3,6,4,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,5,2,3,6] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,5,2,8,6,3] => ([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,3,7,4,2,8,5] => ([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,2,7,4,3,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,8,7,5,3,2,6] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,8,6,3,7,4] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,4,7,5,8,6,3] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,6,2,4,3] => ([(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,7,6,2,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,4,3,6,8,7] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,5,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,4,3,8,6] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,5,3,2,6,8,7,4] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,4,2,6,8,7,5,3] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,3,2,7,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,5,2,6,3,4,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,6,3,2,8,5] => ([(1,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,2,8,5,4,7] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,6,4,2,5,7] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,2,3,8,6] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,4,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,3,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,5,4,1,6] => ([(0,5),(0,6),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,6,7,1,2,3] => ([(0,1),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,3,6,8,5,4,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,1,6,4,5] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,2,4,6,7,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,7,1,4,3,6] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,5,8,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,1,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,7,1,6,8,3,5] => ([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[5,2,8,6,4,7,1,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,3,4,7,2,8,5] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,7,2,5,3,1,6] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,7,3,5,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,2,8,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,6,7,2,4,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,7,5,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,6,7,4,3] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,3,6,5,2,8,4] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,4,5,7,6,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,2,3,8,6] => ([(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,5,4,2,8,3] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,6,5,1,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,5,1,3,7,4,2] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,4,8,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,6,4,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,8,1,3,5,4,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,8,4,6,1,7,5,3] => ([(0,5),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,4,7,3,5,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,6,5,3,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,6,7,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,2,4,6,8,5,3,7] => ([(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,8,6,2,4,7] => ([(0,6),(1,3),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,4,6,8,1,3,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,4,7,8,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,5,8,6,4,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,8,3,4,7,6,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,3,8,7,1,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,8,7,4,2,6,3] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,8,6,2,7,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,6,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,6,1,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,3,6,8,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,6,8,2,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,2,3,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,5,2,7,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,6,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,4,5,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,3,7,2,8,6] => ([(0,3),(1,3),(1,5),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,5,2,4,6] => ([(0,2),(1,6),(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,8,2,1,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,8,5,4,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,8,5,2,6] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,5,6,7,1,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,2,1,4,7,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,7,3,1,8,5,2,6] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,8,2,5,6,1,4] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,4,2,3,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,2,4,5,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,3,4,7,8,6,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,2,4,7,8,6,3] => ([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,7,8,6,2,3,4] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,1,6,7,2,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,4,6,8,3] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,7,3,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,4,5,8,3] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,4,5,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,4,5,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,7,3,4,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,6,2,5,3,4,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,5,3,4,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,5,3,4,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,4,5,6,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,4,5,6,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,5,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,6,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,2,8,5,6,7,4] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,3,1,2,7,4,5,8] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,4,2,3,5,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,4,6,8,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,4,5,6,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,2,5,3,4,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,2,5,3,4,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,2,6,3,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,2,6,3,4,7] => ([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,7,4,5,8,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,3,5,1,6,8] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,6,3,5,1,7] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,4,1,6,8] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,1,5,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,2,1,6,5,8] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,3,5,1,4,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,6,1,5,8,4,7] => ([(0,5),(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[2,3,7,1,6,5,8,4] => ([(0,7),(1,3),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,1,3,6,8,5] => ([(0,5),(1,6),(2,3),(2,7),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,7,8,1,3,2,6] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,1,4,6,3,8] => ([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,1,6,3,5,8] => ([(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,7,1,6,5,4,8] => ([(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,7,1,4,3,6,8] => ([(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,7,3,1,4,6,8] => ([(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,7,2,1,6,8,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,1,5,2,8] => ([(1,2),(1,5),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,3,2,8,1,4,6] => ([(0,2),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,5,7,1,8,4,3] => ([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,6,8,5,4,1,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,8,1,3,6,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,1,4,6,8,3] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,7,1,6,3,8,5] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,7,1,6,8,3,5] => ([(0,5),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[8,6,5,1,2,4,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,2,3,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,4,8,3,2,7] => ([(0,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,4,2,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,5,3,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,4,2,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,2,5,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,3,2,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,4,5,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,3,1,6,8] => ([(1,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,3,1,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,1,3,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,5,2,1,6,8] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,4,3,2,5,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,7,3,2,6,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,7,2,6,8] => ([(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,1,4,7,8,3,6] => ([(0,5),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,7,1,5,2,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,5,1,6,4,2,7,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,7,2,5,8] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,4,3,1,5,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,4,1,7,3,5,8] => ([(1,6),(2,3),(2,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,2,7,4,5,1,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,1,3,6,8,5] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,5,7,1,4,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,6,5,7,1,4,8] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,3,2,5,6,4,8] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,5,6,8,4] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,5,7,8,4] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,3,2,5,7,4,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,5,2,7,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,1,4,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,6,4,3,7,8] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,5,4,1,6,3,7,8] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,5,2,7,3,8] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,5,3,7,2,4,8] => ([(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,5,3,4,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,2,7,6,1,8,4,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,8,2,6,1,7,4,3] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,8,3,6,2,7,4] => ([(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,6,4,7,3,8,5] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,8,3,5,6,4] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,4,5,8,1,6,3] => ([(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,6,2,3,4,1,7] => ([(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,2,1,4,3,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,6,2,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,3,7,4,2,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,2,4,3,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,5,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,5,6,2,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,4,5,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,4,3,7,6,5] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,3,1,2,8,4] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,2,8,3,7] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,7,2,4,5] => ([(0,1),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,1,8,6,7,3] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[4,5,3,7,1,6,8,2] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,8,6,3,5,4,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,6,4,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,6,4,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,7,2,6,8,3] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,5,6,4,7,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,4,8,5,6,3] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,1,3,7,5] => ([(0,6),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,5,3,7,1] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,2,1,5,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,6,1,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,6,1,4,3] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,7,6,2,5,1,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,5,1,4,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,5,4,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,1,3,8,6,2] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,5,1,4,7,3,6] => ([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,5,8,4,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,3,4,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,3,4,2,5,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,2,4,1,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,5,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,5,7,3,6,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,1,6,4,7,8] => ([(2,7),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,1,3,4,2,7,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,3,2,6,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,4,3,5,1,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,7,8,4,3,5,1] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,4,5,3,6,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,5,3,4,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,4,2,1,6,3,8] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,4,7,3,6,2,8] => ([(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,3,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,5,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,8,7,4,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,3,8,7,5,2,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,1,8,3,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,6,8,2,5,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,5,6,8,2,4,3] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,6,7,5,8,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,4,5,2,8,6,3] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,1,8,6,3] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,4,2,8,5,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,2,7,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,6,1,3,4,2,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,4,5,3,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,5,4,6,1,3,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,2,4,5,6,3,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,1,5,6,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,2,1,7,5,4,8] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,3,1,5,4,8] => ([(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,4,7,5,3,8] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,6,4,3,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,4,6,5,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,6,3,1,5,4,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,4,5,3,2,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,6,4,3,2,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,6,2,7,5] => ([(0,5),(1,4),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[5,6,3,2,8,1,7,4] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,3,1,5,7,4] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,6,7,4,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,3,4,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,4,1,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,6,8,4,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,8,3,4,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,4,6,5,7,2] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,8,4,7,5] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[8,1,6,7,4,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,6,4,5,2,3,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,2,3,7,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,2,5,7,3] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,5,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,5,7,2,3] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,7,2,5,3] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,5,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,4,5,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,7,5,8,2,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,6,5,2,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,4,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,6,4,1,7,2] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,5,1,2,8,6,3] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,8,5,2,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,2,3,8,6,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,1,7,4,6] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,3,7,1,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,2,1,7,3,6] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,7,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,4,1,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,8,5,4,2] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,7,4,8,6,2] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,8,6,4,5,2] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,7,3,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,7,1,2,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,8,4,7,1,6] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,7,2,1,5] => ([(0,2),(0,4),(0,5),(1,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,8,7,4,1,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,4,2,7,3,1,5] => ([(0,2),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,7,8,5,1,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,2,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,4,5,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,8,4,2,5] => ([(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,1,8,7,4] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,2,6,4,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,2,4,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,7,1,2,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,7,4,8,1,3,2,6] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,1,5,2,6] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,4,2,6,1,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,8,7,4,1,5] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,1,8,6,4] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,3,1,2,8,7,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[5,2,1,3,8,7,6,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[7,2,1,5,3,8,4,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,4,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,8,1,5,2,7] => ([(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,4,6,8,3,1,7,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,8,4,5,1,7,2] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,1,7,2,4,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,1,2,8,6,4,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,7,6,1,8,5,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,2,7,8,6,4,1,5] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,3,1,4,7,5] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,8,7,4,5,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,1,3,8,7,4,6,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,7,4,5,6] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,2,4,7,5] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,1,7,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,7,3,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,2,7,5,4] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,7,6,4,5] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,7,6,4,5] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,7,2,5,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,2,4,6,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,4,1,3,7] => ([(0,5),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,4,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,3,1,4,6,7] => ([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,1,3,5,7,4,6] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,8,3,2,6,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,5,7,1,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,8,2,5,1,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,7,2,5,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,6,5,8,2,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,8,3,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,2,5,7,6,3,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,2,6,8,5,3,7] => ([(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,8,3,5,4,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,3,5,4,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,3,2,4,6,8,7] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,6,3,2,4] => ([(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,6,3,2,4,8] => ([(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,2,4,7,5,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,3,2,4,8,7,5] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,2,4,6,3] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,4,6,3,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,5,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,5,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,3,6,4,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,6,3,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,7,4,2,5,8] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,3,2,7,5,4,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,7,5,2,6,3,8] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,3,6,4,8,7,5,2] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,6,4,2,5,8] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,8,5,7,6] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,5,2,4,6] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,3,2,7,5,8] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,4,6,3,2,8,7,5] => ([(1,5),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,5,7,6,4,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,3,2,8,4,7,5] => ([(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,6,3,5,2,7,4,8] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,3,5,2,8,7,4] => ([(1,2),(1,6),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,5,2,4,6] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,5,3,8,2] => ([(0,7),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,6,4,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,6,5,7,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,4,8,2,3,6] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,7,1,4,3,8,2] => ([(0,7),(1,2),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,1,2,4,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,7,6,2,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,2,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,7,6,2,4,8,3,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,2,3,8,4,1] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,3,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,2,6,5,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,8,2,6,3,7] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,3,1,8,2,6,4,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7)],8)
[4,7,1,5,2,6,3,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,1,4,2,7,3,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,4,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,5,2,3,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,8,7,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,8,4,5,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,3,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,2,8,1,7,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,6,2,3,1,7,5] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,8,5,3,7] => ([(0,4),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,2,3,5,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,5,1,7,3] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,4,6,7,1,5,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,3,1,7,4,8,5] => ([(0,5),(1,6),(2,3),(2,7),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,1,8,3,2,7,4] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,4,3,7,2,8,6,5] => ([(1,5),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,8,7,4,5,3,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,2,8,4,5,3] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,6,7,8,4,5,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,4,6,3,8,2,5] => ([(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,1,3,8,2,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,8,7,6,2] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,2,7,8,5,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,5,1,6,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,1,3,5,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,1,8,4,3,7,2,6] => ([(0,5),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,8,1,4,5,6,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,4,8,2,5,6,7,3] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,2,5,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,2,3,6,8,4,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,5,3,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,6,5,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,7,6,5,4,3] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,6,7,2,3] => ([(0,1),(0,2),(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,6,1,5,7,4] => ([(0,1),(0,4),(1,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,5,8,4,6,1] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,8,3,5,1,4,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,4,5,3,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,3,4,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,7,5,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,1,8,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,7,4,5,2,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,1,6,3,2,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,5,3,6,1] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,8,7,4,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,2,5,4,6,7] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,8,7,3,4] => ([(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,8,7,2,3,5,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,6,8,7,2,5,3,4] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,5,2,4,8,3,6,7] => ([(1,5),(2,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,4,5,8,6,3,7] => ([(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,8,3,5,4,7,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,8,2,5,4,7,6] => ([(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,7,5,2,4,8,3] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,4,7,2,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,2,5,8,3,6] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,7,5,2,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,4,7,2,3,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,2,6,4,8,5] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,3,6,7,4] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,3,2,6,8,5,4,7] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,2,7,4,5,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,8,5,4,2,3,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,4,2,3,6,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,5,3,8,6] => ([(1,5),(2,4),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[1,5,7,6,2,4,3,8] => ([(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,3,2,6,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,2,6,5,7] => ([(1,7),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,6,5,8,3] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,8,3,7,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,3,2,7,5,6] => ([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,4,5,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,7,3,2,8,5] => ([(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,4,5,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,3,6,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,6,8,3,4] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,5,4,8,2,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,1,8,4,5] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,3,4,6,1,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,7,2,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,4,5,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,4,5,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,3,4,2,1,5] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,3,4,6,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,4,3,8,2] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,6,4,5,8,2] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,3,6,4,8,2] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,3,7,8,2,4] => ([(0,7),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,1,2,6,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,8,2,3,4,7,1,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,7,3,8,6,2,4] => ([(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,3,2,4,7,8,5] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,1,3,4,7,8,5] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,5,8,7,4,1,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,7,3,1,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,6,5,2,7] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,5,7,2,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,5,7,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,3,6,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,3,1,6,5] => ([(0,3),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,1,7,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,4,3,8,7,2,5] => ([(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,2,6,8,7,4] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,3,8,7,2,4,5] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,2,8,4,5,7,3,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,7,6,3,5] => ([(0,1),(0,3),(1,3),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,8,7,1,4,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,3,8,7,2,1,4] => ([(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,7,1,6,3] => ([(0,7),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,4,8,5,7,3] => ([(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,8,7,2,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,3,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,3,4,7,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,6,4,5,8] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,7,3,5,4,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,7,5,6,3] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,8,3,1,7,2] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,2,1,5,7,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,5,3,7,1] => ([(0,5),(0,7),(1,2),(1,4),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,1,5,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,4,8,6,2,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,1,4,6,7,5] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,6,5,1,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,7,6,4,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,6,5,2,4] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,2,6,3,1,5] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,6,3,5,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,4,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,6,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,6,5,1,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,7,4,8,6,3] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,8,7,5,3,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,7,4,5,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,4,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,5,4,8,6,2] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,1,8,2,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,6,3,8,4,2,7] => ([(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,8,4,1,7] => ([(0,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,4,2,6,1] => ([(0,3),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,8,4,1,7] => ([(0,3),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,4,8,1,7] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,4,8,2,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,2,8,4,6] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,7,2,5,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,7,5,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,4,6,7,5,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,8,1,4,7,5,3] => ([(0,3),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,2,7,5,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,6,7,4,5,3] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,6,7,5,3] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,2,6,4,7,5,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,2,7,5,3] => ([(0,5),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,6,7,5,3] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,2,1,6,7,5,3] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,6,1,7,5,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,7,6,3,1,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,8,1,5,2,7] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,8,4,1,5,2,7] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,1,4,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,4,1,5,2,7] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,3,2,8,7,5] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,4,8,2,3,6,5] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,6,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,8,3,5,2,6] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,3,5,2,8,7] => ([(0,1),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,1,4,8,3,7,6] => ([(0,4),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[6,1,2,5,4,8,7,3] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,3,5,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,5,7,3,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,8,3,1,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,6,2,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,8,6,3,7,2] => ([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,1,6,5,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,2,5,1,3] => ([(0,2),(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,6,2,1,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,5,6,4,1,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,5,6,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,5,6,2,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,6,4,1,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,3,8,2,7,4] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,3,8,4,7,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,3,5,7,8,1,4] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,6,3,7,2,8,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,3,6,2,8,4] => ([(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,3,4,2,8,6] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,3,4,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,7,2,8,6] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,4,5,3,8,2,7,6] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,1,4,2,7,8,3] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,4,2,8,7,3] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,4,2,8,6,3] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,3,7,2,4] => ([(0,6),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,7,1,8,6,3,2] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,2,6,5,3,7] => ([(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,6,2,4,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,7,4,3,6] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,2,5,6,8,7,3,4] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,8,2,7,4,3] => ([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,3,4,1,8,5] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,5,7,8,2,4,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,5,6,7,2,8,4,3] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,1,8,2,4,5] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,2,6,4,8,5] => ([(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,7,3,4,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,5,8,7,2,4,3] => ([(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,6,2,8,3,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,8,6,7,4,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,7,3,8,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,8,6,4,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,5,8,1,2,7,4] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,7,8,1,6,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,8,1,3,7,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,3,6,8,1,2,7,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[4,6,5,8,3,2,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,8,2,3,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,8,7,1,6,4,3] => ([(0,3),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,8,3,6,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,8,5,2,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,7,5,2,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,7,3,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,5,6,3,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,7,5,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,5,1,3,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,7,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,2,3,5,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,2,1,5,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,5,2,6,4,1] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,5,1,2,6,4] => ([(0,3),(0,4),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,2,6,5,1] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,4,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,4,6,1,7] => ([(0,6),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,2,6,1,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,4,6,3,7] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,5,8,3,6,2,7] => ([(0,5),(1,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,6,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,1,8,5,4,6] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[4,7,8,5,2,3,1,6] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,8,1,5,3,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,1,3,8,5,4,6] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,7,8,4,1,3,5] => ([(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,8,4,3,1,5] => ([(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,3,8,4,5] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,5,3,7,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,6,1,2,7,3] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,8,2,5,3,6] => ([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,8,3,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,3,1,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,4,3,5,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,8,4,1,3,5] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,1,6,8,3,4] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,7,4,8,3,5] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,3,6,2,5,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,8,2,4,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,6,3,4,8,7] => ([(0,1),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,3,4,6,2,8,7] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,5,7,2,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,5,6,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,6,3,7,5,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,6,3,8,5,2] => ([(0,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,8,5,3,6,2] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,4,7,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,8,6,7,2,3] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,4,5,3,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,1,8,7,3,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,2,6,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,1,8,6,2,5] => ([(0,1),(0,5),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,3,7,4,8,5] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,1,2,5,8,4] => ([(0,6),(1,2),(1,3),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,4,7,8,2,6,3] => ([(0,6),(1,2),(1,3),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,5,8,1,3,6,4] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,6,7,2,4,5,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,5,2,1,6,4] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,6,2,7,4,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,8,4,2,7,1] => ([(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,2,5,7,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,6,8,7,3,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,3,6,7,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,5,7,8,3] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,7,6,8,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,4,5,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,4,5,6,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,6,4,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,8,3,1,5,7] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,4,1,5,8,7,3] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,4,5,2,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,7,3,6,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,1,8,2,3] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,4,7,6,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,4,6,7,3,8] => ([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,4,1,5,7,8,2] => ([(0,7),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,5,2,8,4,1,3] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,2,8,7,4] => ([(0,3),(1,2),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,2,4,3,5,8,6] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,4,2,6,5] => ([(0,1),(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,3,5,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,5,3,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,3,6,1,7,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,1,4,7,5,6] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,6,3,2,7,4,1,5] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,1,8,4,5,6] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,5,4,6,7] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,6,4,3,7] => ([(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,8,6,3,1,2,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,8,4,1,2,5,7] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,8,5,2,1,3,6] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,8,7,3,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,7,4,2,6] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,4,7,2,6] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,4,8,5,2,7] => ([(0,6),(1,3),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,3,4,2,6,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,1,5,7,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,1,8,3,6,7] => ([(0,5),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,2,5,1,8,7,3,6] => ([(0,3),(0,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[6,8,2,7,1,4,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,8,4,7,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,5,7,2,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,1,4,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,7,8,3,6] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,3,2,6,4,7,5] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,5,3,6,8] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,4,1,3,7,2,5] => ([(0,1),(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,6,1,7,8,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,4),(4,5),(5,6),(5,7),(6,7)],8)
[7,6,4,1,8,3,5,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,7,3,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,5,8,2,3] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,1,6,7,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,6,4,7,8,3] => ([(0,7),(1,7),(2,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,3,5,7,8,4] => ([(1,7),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,4,8,5,2,6,7] => ([(1,7),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[8,2,4,6,1,7,3,5] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,2,3,6,8,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,1,4,2,5,8,6] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,7,8,4,1,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,1,6,2,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,5,4,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,1,5,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,7,4,6,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,6,3,5,2] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,7,4,3,6,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,3,1,7,2,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,8,3,2,7,6] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,7,6,5,2,3] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,7,2,6,1,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,2,6,4,1,5] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,4,3,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,6,1,2,5] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,5,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,6,1,5,3] => ([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,4,8,3,1,7,6] => ([(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,2,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,8,7,2,6,1,5,4] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,6,3,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,6,5,2,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,7,2,6,5] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,5,4,6,2,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,3,6,2,5,8] => ([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,1,7,6,2,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,3,1,7,4,5] => ([(0,6),(1,2),(1,3),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,4,8,1,7,3,6] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,2,6,5,8,3,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,1,4,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,5,3,4,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,5,3,4,7,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,7,8,5,1,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,4,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,6,2,7,3] => ([(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,2,7,6,3,8,1] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,1,2,7,6,4] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,5,3,8,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,1,3,7,2,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,1,2,3,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,5,1,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,8,6,2,7] => ([(0,6),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,6,7,4,8,3,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,1,6,2,4,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[7,8,3,1,6,2,5,4] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,8,1,4,6,3] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,5,4,3,1] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,2,5,4,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,8,3,4,7,2] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,6,8,5,4,3,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,1,2,3,7,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[4,8,1,2,7,6,5,3] => ([(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,8,5,7,3] => ([(0,4),(0,7),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,5,2,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,2,1,3,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,2,5,7,8,4] => ([(0,7),(1,7),(2,4),(3,6),(3,7),(4,5),(5,6),(6,7)],8)
[1,6,4,5,2,7,3,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,4,5,3,7,8] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,7,3,4,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,8,3,7,5] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,8,2,6,7,4] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,3,7,2,8,5,4] => ([(0,7),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,5,8,3,7,1,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,3,6,7,2,5] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,3,1,7,5] => ([(0,7),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,2,6,4,3,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,4,2,8,3,5] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,4,3,6,2,5] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,2,3,6,8,5] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,6,7,8,5,4] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,8,1,6,4,2,7,5] => ([(0,1),(0,7),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,4,7,8,2,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,1,5,7,6,2,8,4] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,4,2,7,8,5] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,3,7,6,1,8,5] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,6,5,2,8,4] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,6,8,3,2,5] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,6,3,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,6,2,7,5] => ([(0,4),(0,5),(1,3),(1,7),(2,3),(2,6),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,1,5,2,8,7,6,4] => ([(0,3),(1,2),(1,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,4,3,7,6,5] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,7,4,3,5] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,5,1,8,3,2,6,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,7,6,3,1,8,2,5] => ([(0,2),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,6,2,4,7] => ([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[5,1,8,6,3,2,4,7] => ([(0,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,5,4,2,8,6,3,7] => ([(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,2,8,5,3,7,6] => ([(1,5),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,1,6,4,2,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,3,5,2,6] => ([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,2,4,8,5,1,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,8,1,4,2,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,3,8,1,7,5,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,1,8,6,3,7,4] => ([(0,2),(1,6),(1,7),(2,4),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,1,7,3,5] => ([(0,5),(1,2),(1,4),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,2,7,5,3,6] => ([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,2,8,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,5,3,6,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,6,4,3,5] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,8,6,3,5,2] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,8,4,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,7,6,3,5,2] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,3,5,1,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,3,6,2,7] => ([(0,6),(1,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,8,2,7,4,6] => ([(0,3),(1,5),(1,7),(2,4),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,5,3,2,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,4,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,1,8,5,7,4,3] => ([(0,1),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,5,2,1,7] => ([(0,5),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,8,4,5,2,7,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,5,3,7,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,8,7,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,8,7,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,2,4,1,3] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,5,7,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,8,4,5,7,3,2] => ([(0,5),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,4,8,5,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,4,7,6,2] => ([(0,1),(0,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,1,8,5,4,7,2] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,3,7,6,5,1] => ([(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,5,7,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,4,3,7,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,5,4,7,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,2,5,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,3,5,7,1] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,5,7,4,2] => ([(0,1),(0,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,8,4,1,7,3] => ([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,2,7,4,6,1] => ([(0,5),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,7,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,6,3,5,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,3,2,8,4] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,3,4,1,8,5] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,6,3,1,2,8,4] => ([(0,4),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,1,7,5,6,3] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,5,7,2,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,6,2,3,7] => ([(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,7,5,3,6,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,6,7,3,5,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,1,7,5,3,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,8,7,6,2,4] => ([(0,1),(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,7,8,1,3,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,7,8,3,5,6,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,6,8,4,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,6,3,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,8,3,7,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,3,8,1,6] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,1,6,8,2,5] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,7,6,8,1,3,5] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,4,6,8,3,2,5] => ([(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,5,6,3,1,8] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,3,7,8,2,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,8,3,7,2,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,1,6,8,3,5,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,1,8,3,2,7] => ([(0,2),(1,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,1,7,8,3,6] => ([(0,2),(0,7),(1,2),(1,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,6,3,4,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,3,1,8,5,4,7] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[5,1,2,6,4,8,3,7] => ([(0,6),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,7,5,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,8,6,1,3,7] => ([(0,6),(1,2),(1,3),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,8,2,5,6,1,7] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,7,5,3,1,4] => ([(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,2,5,8,4,1,7] => ([(0,4),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,8,4,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,6,4,1,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,5,2,7,1,6] => ([(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,1,6,3,7] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,8,1,3,4,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,1,8,7,4,2,6] => ([(0,2),(0,7),(1,4),(1,5),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,3,8,2,7,5] => ([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[8,6,1,2,3,5,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,3,2,4,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,1,7,6,2,8,5,4] => ([(0,2),(1,6),(1,7),(2,3),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,4,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,6,7,3,1] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,8,7,3,5] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,2,6,8,4,5,1] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,2,7,8,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,2,7,8,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,6,4,2,7,3] => ([(0,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,8,5,7,4,3] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,6,2,3,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,8,1,3,4,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,6,8,4,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,2,8,3,1,5] => ([(0,1),(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,8,4,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,1,5,2,8,6] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,6,3,1,5,8,2] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,3,8,5,1,6] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,1,8,5,4,6] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[2,8,3,1,7,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,6,8,3,4,7,5] => ([(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,2,7,3,5,6,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,6,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,5,7,4,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,7,2,8,3,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,5,2,6,1,7,4] => ([(0,5),(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,4,8,5,2,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,5,3,4,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,2,5,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,3,4,2,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,4,2,8,6,7,5,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,6,1,4,2,5] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,2,7,8,4] => ([(0,6),(1,6),(2,3),(2,7),(3,5),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,6,8,3,4,2,5] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,1,2,6,3,5,7,4] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,7,1,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,7,8,4,2,5,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,8,5,1,6,7] => ([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,2,7,5,4,1,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,7,6,2,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,7,6,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,5,7,1,6,2] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,4,8,7,2,1,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,4,7,1,6,2] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,8,7,1,4,6,3] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,1,6,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,3,1,6,4,5] => ([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,5,1,4,6,3] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,7,4,1,6,2] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,6,8,3,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,1,3,6,4,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,1,5,4,6,3] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,1,4,5,6,3] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,7,8,2,4,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,8,6,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,8,7,3,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,8,6,7,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,7,6,8,2,1,3,4] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,2,4,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,8,6,3,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,8,2,6,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,5,6,8,7,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,5,3,8,4,7,2] => ([(0,6),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,2,5,4,7,3] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,7,5,2,6] => ([(0,4),(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,4,8,3,1,5] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,1,4,3,7,6] => ([(0,5),(1,2),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,7,5,1,4,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,4,5,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,6,4,7,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,7,3,1,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,7,3,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,5,8,4,1,7] => ([(0,5),(1,2),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,8,7,1,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,7,1,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,4,8,7,1,3] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,6,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,4,7,5,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,7,5,8,6,1,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,5,8,4,1,6] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,8,5,1,6] => ([(0,4),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,8,5,1,7] => ([(0,5),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,6,8,5,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,6,8,2,1,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,7,2,8,6,1,4] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,6,4,8,7,1,5] => ([(0,6),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,7,3,8,6,1,5] => ([(0,4),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,6,8,3,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,2,7,6,8,4,1,5] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,8,5,1,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,7,5,8,4,1,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,1,7,3,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,2,1,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,2,5,4,6,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,5,8,3,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,3,2,5,8,4] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,2,6,4,7,1] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,4,8,1,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,7,8,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,4,1,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,6,3,7,4,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,3,7,5,6,1] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,2,3,8,4,1] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,6,4,3,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,7,5,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,6,4,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,5,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,3,8,5,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,6,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,5,3,8,4,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,3,7,5,6,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,5,6,2,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,8,3,7,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,2,5,6,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,6,3,7,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,1,2,6,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,6,4,1,3,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,4,3,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,2,8,4,1,5] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,8,3,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,1,3,2,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,8,1,6,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,3,8,6,5,2] => ([(0,3),(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,8,3,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,2,8,5,6,4,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,8,6,4,7,2] => ([(0,3),(1,6),(1,7),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,1,8,7,3,4] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,2,8,4,7,5,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,6,7,5,4,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,3,1,4,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,6,4,2,7] => ([(0,6),(1,2),(1,7),(2,3),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,6,4,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,8,6,4,2,7] => ([(0,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,8,3,6,4,2,7] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,6,4,2,1] => ([(0,1),(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,3,4,2,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,8,2,6,4,1] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,4,6,2,3] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,8,4,2,6,5] => ([(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,5,3,4,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,5,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,5,4,1,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,1,6,5,3,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,1,3,7,6,8] => ([(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,2,6,8,4,7,5] => ([(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,7,5,4,2,6,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,6,4,3,7,2,5,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,5,1,3,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,7,1,5,2] => ([(0,1),(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,8,6,5,2,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,1,4,8,6,5] => ([(0,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,6,5,7,8,4,2] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,8,7,6,2] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,3,2,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,5,6,8,4,3] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,8,3,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,4,7,1,8,6,2] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,1,5,4,2,3,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,6,4,5,2,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,8,4,5,2,7] => ([(0,6),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,6,3,1,2,7,4] => ([(0,4),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,1,3,6,4] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,6,5,4,1,3,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,7,6,3,2,8] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,7,6,3,2,8] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,1,8,7,3,6] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,4,3,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,7,8,5,3] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,2,5,6,8,7,3] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,6,7,8,4,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,5,8,6,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,7,4,3,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,2,1,6,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,8,6,4,3,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,6,5,4,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,6,3,7,5,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,2,5,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,7,8,4,5,3] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,5,4,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,2,7,5,3,4] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,3,2,8,1,5,4] => ([(0,3),(0,4),(0,5),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,3,8,6,2] => ([(0,6),(1,2),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,7,2,4,1,5] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,4,2,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,8,6,4,1,3,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,3,7,4,2,6,8] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,4,3,8,6,5] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,4,2,3,8,7,6] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,4,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,2,3,7,8,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,2,7,6,3,5,8,4] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,6,5,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,6,1,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,1,6,3,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,1,4,3,8,2] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,8,5,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,5,2,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,1,6,3,5,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,6,5,4,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,5,8,4,6,3,2] => ([(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,1,2,8,3,4] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,3,8,6,5] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,3,7,6,4] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,2,4,1,7,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,2,4,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,4,3,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,2,8,6,7,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,2,5,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,6,2,5,1,7,8,4] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[3,4,2,7,8,1,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,1,4,2,5,8,6,3] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,4,3,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,8,6,4,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,3,8,7,4,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,7,6,3,1,2,4,8] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,6,2,7,8,1,3,5] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,3,7,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,6,7,8,2,1,3,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,1,7,5,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,4,2,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,6,2,4,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,7,6,8,2,4,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,1,3,8,4,2,6] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,3,7,8,5] => ([(0,6),(1,6),(2,3),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,6,2,4,3,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,1,8,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,5,6,3,7,8,4,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,6,3,8,4,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,6,1,8,4,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,6,1,5,8,4,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,7,8,5,4,2] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,3,5,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,6,1,8,4,2] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,6,2,8,4,7,3,1] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,1,2,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,5,1,3,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,3,8,6,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,4,7,2,6,8] => ([(1,6),(2,5),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,6,1,3,8,2,4] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,6,3,8,1,4,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[5,1,3,7,6,2,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,6,3,7,2,4,5,8] => ([(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,2,4,8,1,7,6] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,3,2,7,1,4] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,7,2,6,5,1,4] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,1,3,8,5] => ([(0,5),(1,2),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,1,4,7,2,8,6] => ([(0,5),(1,3),(1,7),(2,5),(2,7),(3,6),(4,6),(4,7),(6,7)],8)
[5,1,4,8,7,3,2,6] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,4,2,7,8,5] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,2,3,7,8,1,4] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,3,8,4,2,7,6] => ([(1,2),(1,6),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,1,8,3,7,6] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,1,7,4,2,6,8,5] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(5,7),(6,7)],8)
[7,4,8,2,3,5,1,6] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,4,1,3,2,6,7,5] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,2,5,6,4] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,2,7,3,1,4] => ([(0,2),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,4,2,7,5] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,2,3,7,4,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,7,3,5,1,8] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,5,3,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,3,1,8,4,7] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,2,7,8,6,3] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,8,5,1,2,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,5,1,2,8,3] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[7,2,8,1,4,5,3,6] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,4,7,3,8,2,5] => ([(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,3,4,8,2,5] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,3,1,5,7] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,5,1,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,1,5,8,2,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,7,2,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,1,3,8,2,4] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,6,7,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,2,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,4,1,3,6,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,2,5,7,4] => ([(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,3,8,4,7,2] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,3,7,2,8,4] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,1,8,2,3,7,4] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,1,2,8,4,7,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,1,6,4,2,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,6,3,4,2,5] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,8,6,4,2,5] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,8,6,4,2,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,6,4,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,5,6,4,2,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,6,4,2,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,6,4,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,6,4,2,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,6,4,2,7] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,8,6,4,2,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,5,2,3,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,6,2,3,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,2,3,8,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,1,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,2,3,7,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,1,3,5,6,7,2,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,5,3,4,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,3,4,8,1,6] => ([(0,1),(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,5,4,1,3,6,8] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,6,5,1,8,3] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,5,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,5,1,4,7] => ([(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,4,5,3,7] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,6,3,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,7,8,5,6,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,5,7,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,5,2,7,3,4] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,8,5,2,7,6] => ([(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,8,7,6,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,3,7,4,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,4,6,8,7,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,6,4,2,5,8,7] => ([(0,1),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,5,7,8,2] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,2,3,6,5] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,4,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,2,3,6,8,1,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,4,2,5,7] => ([(0,7),(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,1,8,6,4,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,5,7,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,4,6,5,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,7,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,7,8,6,2,5,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,6,5,7,3] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,8,3,7,2,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,8,1,6,5,3,7,4] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,6,3,8,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,5,7,6,8,3] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,5,1,7,8,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[1,8,5,2,3,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,3,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,8,4,5,6,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,7,6,2,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,2,7,6,3,1] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,1,7,5,8,4] => ([(0,7),(1,4),(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,6,5,2,1,7,8,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,6,1,7,5,8,3,2] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,7,6,8,3,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,1,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,1,7,8,2] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,3,1,7,8,2] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,1,4,2,3,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,2,3,1,6,7] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,1,7,2,6] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,6,8,1,4,7,2] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,1,8,6,4,7,2] => ([(0,2),(0,7),(1,5),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,3,1,6,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,8,3,7,4] => ([(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,8,4,6,2,7,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,5,2,6,3] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[8,3,2,1,6,5,7,4] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,6,8,7,2,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,6,8,4,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,8,4,7,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,1,2,4,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[6,8,1,4,5,7,2,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,1,8,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[1,3,5,6,8,4,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,2,3,4,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,4,8,7,3] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,3,6,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,7,2,8,6,3,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,3,4,8,7,2] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,3,2,1,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,3,5,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,8,6,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,1,2,5,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,6,4,2,8,7,3] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,4,8,2,3,6] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,5,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,1,7,5,6,2] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,4,2,3,5] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[7,4,3,1,8,5,2,6] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,3,4,5,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,7,3,4,2,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,6,5,3,8,2,7,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,8,1,7,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,3,5,2,1,6,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,5,2,4,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,5,7,3,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,6,4,3,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,5,1,4,2,8] => ([(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,4,6,7,5] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,3,4,2,5,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,2,5,8,6,4] => ([(0,4),(1,4),(1,6),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,3,5,1,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,5,6,4,3] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,8,1,7,4] => ([(0,4),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[4,1,5,7,3,8,2,6] => ([(0,5),(1,3),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,8,2,5,3,4] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,6,5,7,4,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,4,5,7,2] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,8,6,4,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,3,8,5,1,4] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,4,6,5,7] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,1,8,4,6,7,5] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,1,8,6,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,6,4,1,3] => ([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,7,4,3,2] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,7,4,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,5,2,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,6,4,3,2] => ([(0,2),(0,3),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,6,4,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,8,1,7,5,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,8,7,1,3,5,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,8,7,6,2,1,4] => ([(0,2),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,1,4,5,2,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,6,2,7,5,3,8] => ([(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,6,2,5,3,1,4,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,7,6,2,5,8] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,2,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,5,3,1,8,6,7] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,3,1,4,8] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,1,3,7,5,2,6,8] => ([(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,3,2,7,5,8] => ([(1,7),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,1,3,2,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,5,6,3,1,7] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,1,3,6,8] => ([(1,7),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,3,2,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,8,4,5,3,1,7] => ([(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,7,4,1,6,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,1,6,3,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,3,2,4,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,1,6,3,7,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,2,4,3,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,8,7,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,7,5,4,2] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,5,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,7,4,5,3] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,6,4,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,3,6,7,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,4,7,6,5] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,7,1,3,4] => ([(0,1),(0,2),(0,5),(0,6),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,2,1,8,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,7,6,3,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,4,6,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,5,4,2,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,4,7,2,8,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,6,4,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,5,3,4,2,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,3,1,5,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,8,3,2,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,2,4,7,8,6,3] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,7,4,3,8,6,1] => ([(0,6),(0,7),(1,2),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,3,4,8,5,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,3,5,4,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,5,3,8,6,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,7,4,5,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,2,7,5,8,4] => ([(1,7),(2,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,6,8,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,2,7,1,5,8,3] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,3,6,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,4,7,3,8] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,4,6,3,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,5,4,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,2,7,3,6,8] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,5,4,2,8,7,3,6] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,5,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,2,3,5,8,4] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,6,5,2,4,7] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,3,2,8,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,2,4,7,3] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,3,2,5,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,3,2,6,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,3,8,4,7] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,7,3,2,8,4,6,5] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,5,2,8,4,7,3] => ([(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,2,4,6,5] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,7,6,1,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,2,5,7,4,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,1,6,5,8,4] => ([(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,6,1,5,8,4] => ([(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,7,1,4,3] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,2,5,1,7,4,3] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,7,2,1,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,7,4,1,3] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,1,7,5,8,4,3] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,5,3,7,2] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,7,8,1,3,5] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,1,3,7,8,2] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,2,6,4,8,3] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,7,6,5,8,2,3] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,3,6,7,8,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,7,2,1,6,5,8,3] => ([(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,7,8,1,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,2,7,3,1,4] => ([(0,1),(0,3),(0,5),(0,6),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,7,8,2,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,3,5,8,6] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,2,4,3,7,8,5] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,5,4,2,3,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,4,6,3,8,5] => ([(0,7),(1,7),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,5,3,8,4] => ([(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,1,2,4,8,3] => ([(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,5,2,3,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,4,8,7,2,3,5] => ([(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,8,5,7,2,3,4] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,7,5,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,5,8,2,3,4] => ([(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,7,8,2,3,5] => ([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,3,7,5,4,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,1,2,4,7,3] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,5,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,1,2,4,6,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,2,4,5,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,2,4,7,5,8] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,1,4,2,3,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,4,8,2,3,5] => ([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,8,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,8,5,6,2,7,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,6,7,2,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,5,3,4,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,5,3,8,2] => ([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,1,7,2,5,4] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,1,5,4,8,2,7,3] => ([(0,7),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,5,4,7,1,8,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,6,7,5,1,2,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,6,5,7,4,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,8,5,6,4,3] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,2,3,5,1,7] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,1,3,5,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,6,4,8,2,7] => ([(0,4),(1,2),(1,7),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,6,2,1,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,5,6,1,3,7] => ([(0,7),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,2,5,6,1,3,7] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,4,2,7,6,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,1,4,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,4,6,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,4,6,3,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,2,1,6,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,6,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,5,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,6,5,7,4] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,5,4,6,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,5,3,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,6,3,5,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,6,3,1,5] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,3,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,2,1,4,5] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,4,6,5,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,6,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,2,6,5,8,3,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,7,4,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,2,4,8,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,5,6,3,4] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,4,6,1,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,8,1,3,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,6,4,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,4,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,1,3,4,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,8,4,5,1,3,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,8,7,5,3,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,4,3,2,8,5] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,5,1,4,8,3,6] => ([(0,1),(0,7),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,3,4,2,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,6,3,2,8,7,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,7,6,8,4,2,5] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,3,2,8,5,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,8,4,5,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,8,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,1,5,2,8,7,3] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,3,1,8,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,4,7,3,6,8] => ([(1,5),(2,4),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[3,1,6,5,7,2,4,8] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,5,7,4,8,3] => ([(0,7),(1,2),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,1,6,3,8,4] => ([(0,7),(1,5),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,1,5,7,4,3,8] => ([(1,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,2,4,7,8] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,6,5,1,4,2,7,8] => ([(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,5,1,7,2,4,8] => ([(1,4),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,5,2,1,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,1,7,2,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,7,6,1,3,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,3,1,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,1,6,3,7,2,8] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,3,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,7,1,4,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,6,5,1,4,7,2,8] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,6,5,7,1,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,1,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,6,5,3,7,8,2] => ([(0,7),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,6,1,3,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,7,6,1,2,5,8] => ([(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,7,6,3,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,5,2,7,3,8] => ([(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,5,7,2,1,4,8] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,6,2,4,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,2,6,3,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,2,7,3,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,5,2,1,7,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,5,8,2,1,4,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,8,2,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,1,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,8,2,4,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,3,8,2,4,6,7] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[1,5,8,4,2,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,4,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,4,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,2,4,6,3,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,3,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,1,4,6,2,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,4,6,7,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,4,6,7,2,3] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,4,6,3,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,6,7,2,1,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,6,7,2,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,6,7,2,5,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,6,7,2,1,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,5,3,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,5,7,2,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,2,4,5,3,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,2,4,5,7] => ([(0,7),(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,8,6,2,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,4,1,5,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,4,5,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,4,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,2,4,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,7,2,1,4,5] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,6,7,2,1,4,5] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,5,1,7,3] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,6,7,5,2,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,2,3,7,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,6,3,5,8,4] => ([(0,5),(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,4,7,3,6,5] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,8,4,7,3] => ([(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,7,3,6,4] => ([(0,1),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,1,6,7,4,8,5] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,1,7,8,5,2,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,8,2,4,3,7,1] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,6,4,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,4,7,3,5] => ([(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,8,6,4,1] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,8,3,5,6,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,1,4,6,5] => ([(0,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,5,3,6,4] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,6,4,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,2,7,6,5,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,7,5,6,1] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,8,7,5,6,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,1,5,3,4,7] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,2,5,6,8,1,4,7] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,8,1,6,4,5,2,7] => ([(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,5,4,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,6,2,1,8,5] => ([(0,1),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,6,3,7,5] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,1,5,3,4,8,6] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,2,3,1,4,8,6] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,5,2,4,6,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,7,3,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,7,5,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,8,6,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,3,1,2,6] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,6,4,2,5] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,1,7,4,6,3] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,7,5,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,4,6,3,8,5,1] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,4,7,5,3] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,3,7,5,2] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,1,6,2,5,7] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,8,1,6,2] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,1,6,2,8,7,4] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,4,1,7,8,2,6] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,2,1,5,7,3,8] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,8,7,2,4,6] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,7,8,4,6,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,4,2,6,8,1] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,2,6,1,8] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,4,2,1,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,8,4,3,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,8,4,3,2,6,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,4,3,6,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,7,4,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,4,1,6,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,5,7,8,4,6,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,7,8,4,2,6] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,4,1,3,8,6] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,3,7,4,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,7,4,8,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,3,7,4,5,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,7,4,5,8,2] => ([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,7,4,5,2,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,3,5,4,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,5,3,4,7] => ([(0,7),(1,2),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,8,1,6,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,5,7,8,4,6,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,1,8,6,7,3] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[5,6,8,3,4,2,7,1] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,3,8,6,7,2] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,4,8,6,2] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,2,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,1,4,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,2,4,3,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,4,6,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,4,6,8,7] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,4,8,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,4,7,1,8,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,3,7,1,2,6] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,3,5,6,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,4,6,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,7,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,6,4,2,5,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,8,3,1,5] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,3,7,1,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,3,7,6,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,3,6,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,5,1,8,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,6,5,7,1,4,8,3] => ([(0,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,5,1,7,8,4,6,2] => ([(0,1),(0,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,6,8,7,3] => ([(1,7),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,7,6,5,3] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,8,6,7,5,2] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,5,1,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,3,2,8,5,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,3,2,4,7,1,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,2,5,8,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,6,3,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,6,4,3,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,5,1,3,2,7] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,7,5,2,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,4,6,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,2,6,1,4,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,8,5,7,6,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,5,2,1,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,4,7,2,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,4,6,8,3,1] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,3,7,2,1,5] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,1,7,6,4,5] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,8,1,7,3] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,1,6,8,3,4] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,8,5,1,6,2,3] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,1,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,6,3,1,7,8,2] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,6,7,4,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,4,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,4,2,6,8,7] => ([(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,4,2,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,3,8,4,6,2,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,8,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,6,5,2,4,8] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,7,5,4,3] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,4,3,2,6,8] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,4,6,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,5,1,8,4] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,8,6,3,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,4,5,1,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,7,8,3,6,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,3,7,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,3,1,4,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,7,2,5,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,2,7,6,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,2,4,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,4,5,1,2,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,7,1,5,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,2,1,7,6,5] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,5,2,6,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,7,5,3,1,6] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,6,2,4,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,8,2,5,7,3] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,8,2,4,6,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,6,8,3,7,4] => ([(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,3,1,8,2,6,7] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,8,4,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,3,2,8,4,5] => ([(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,7,3,8,4,5] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,1,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,1,8,3,6,7] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[7,4,2,8,3,1,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,2,8,3,5,1,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,8,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,2,7,8,4,3,5] => ([(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,4,1,8,6,2,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,6,3,5,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,2,4,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,8,6,2,5,3] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,7,8,3,2,5,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,3,2,7,8,4,6,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,4,6,2,8,3] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,1,4,7,8,2,5] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,1,8,6,2,3] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,6,5,2,7,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,1,2,6,8] => ([(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,6,5,7,8,4] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[7,3,2,6,1,4,8,5] => ([(0,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,6,8,4,1,7] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,8,5,4,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,6,2,4,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,1,3,6,8,7] => ([(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,4,2,7,1,8,6] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,3,8,4,7] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,6,8,1,7] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,4,8,5,1,7] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,1,2,7,8,4,5] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,4,7,1,2,5,3,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,8,5,2,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,6,7,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,6,3,8,4,7,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,2,8,3,5,4] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,5,2,7,6] => ([(0,5),(1,2),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,5,4,7,2,3,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,6,4,3,1,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,6,5,1,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,5,8,6,2,7] => ([(0,7),(1,7),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,7,3,2,8,4,6] => ([(0,7),(1,2),(1,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,1,3,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,2,4,1,6,7,3,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,6,2,4,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,3,6,2,5] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,3,5,4,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,5,8,4,3,2,6] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,2,7,8,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,5,3,4,1,6] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,2,8,7,5,4] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,3,1,5] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,8,3,6,4] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,4,2,1,8,5] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,3,7,1,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,1,7,2,6] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,4,2,7,8,1,5] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,3,7,8,2,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,6,3,4,7,2,1,5] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,6,7,5,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,2,7,8,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,2,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,5,6,2,1,7,8,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,5,6,2,1,7,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,8,7,2,3,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,1,6,7,3,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,8,3,7,4,6] => ([(0,3),(1,4),(1,7),(2,5),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,2,1,3,8,4,6] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,4,2,6,3,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,5,6,8,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,6,8,1,7,5] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[2,3,5,8,1,6,7,4] => ([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[2,4,7,5,6,8,1,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,4,6,2,8,1,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,4,8,6,7,3,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,6,8,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,2,1,7,6,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,6,4,1,8,5] => ([(0,6),(1,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,8,5,6,4,3] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,1,4,8,2,7] => ([(0,2),(1,3),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,8,1,2,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,4,6,3,8,7] => ([(0,1),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,6,4,2,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,4,3,1,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,6,7,1,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,4,7,3,6,8,5] => ([(0,1),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,4,8,2,1] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,4,2,8,1,5] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,3,7,2,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,1,6,3,2] => ([(0,2),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,3,7,8,6,4] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,7,6,8,2,3] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,3,7,6,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,6,7,5,2] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,6,5,7,3] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,3,2,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,3,8,2,7,1] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,3,8,2,7,5] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,1,4,3,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,4,5,3,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,1,8,6,5,7,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,2,7,5,1,8,6] => ([(0,2),(1,6),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,3,7,4,1,8,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,3,6,8,5] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,2,4,5,6,8,3] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,4,5,6,3] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,3,4,5,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,1,4,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,2,5,4,6,8,3] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,1,6,7,4] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,2,5,7,8,3] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,3,4,1,7,8,2] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,1,7,8,2] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,3,1,4,7,8,6] => ([(0,7),(1,6),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,8,2,3,1,5,7,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,5,2,7,8,6] => ([(0,5),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,1,4,7,8,6] => ([(0,7),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,5,6,8,4] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,7,8,6,3,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,2,3,1,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,3,6,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,4,6,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,7,4,3,6] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,7,2,1,8,4,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,7,3,8,6,2] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,3,8,5,6,2] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,4,1,7,2,5] => ([(0,5),(0,7),(1,2),(1,4),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,8,4,7,6,3,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,6,8,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,7,8,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,8,2,1,4] => ([(0,1),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,7,4,5,8,3] => ([(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,6,1,5,8,3] => ([(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,2,5,7,3] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,5,1,6,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,4,2,7,6,1,5,3] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,1,2,6,5,3] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,1,2,5,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,1,5,3,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,6,2,4,3] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,4,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,5,7,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,4,7,2,8] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,5,3,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,6,1,3,5,2,7,8] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,6,3,5,1,7,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,2,5,3,7,8] => ([(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,4,7,1,3,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,3,5,2,8] => ([(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,3,1,5,4,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,3,6,7,4,2,8] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,6,7,1,3,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,7,3,5,8] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,1,6,4,7,2,8] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,6,5,7,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,6,1,4,8,3,2,7] => ([(0,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,7,2,8,5] => ([(0,5),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[5,2,6,3,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,3,7,8,6,5] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[2,6,1,5,7,8,4,3] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,4,7,8,2,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,6,3,7,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,8,2,3,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,8,1,2,6,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,5,8,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,7,5,6,8,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,1,6,8,4,5,3] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,7,2,6,3,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,5,8,3,1,7,6] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,8,3,6,2] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,3,5,1,4] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,6,2,5,1,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,7,3,5,6,2,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,3,5,4,2,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,6,5,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,2,5,8,7,4] => ([(1,5),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,7,1,4,6,3,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,1,2,7,3,8] => ([(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,4,3,2,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,2,1,6,4] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,7,8,4,5,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,4,8,2,7,5,3] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,3,7,1,8,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[7,2,3,1,8,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[7,3,4,5,1,8,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,6,7,4,8,2,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,5,7,4,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,6,3,1,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,1,7,6,3,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,7,8,3,1,4,5] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,2,5,1,7,8,4] => ([(0,6),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,7,8,2,1,5] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,8,4,2,3] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,4,6,5,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,2,8,6,5,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,2,8,6,5,4] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,1,6,5,3,4] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,7,3,4,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,6,3,1,5] => ([(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,4,7,6,3,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,1,6,2,3] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,4,6,7,5,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,8,1,7,6,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[2,4,5,8,1,7,6,3] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,1,8,2,6,7,5,4] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,1,4,3,7,5] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,2,8,7,3,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,5,8,7,3,4] => ([(0,1),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,7,3,5,2,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,7,6,4,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,8,6,2,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,6,2,3,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[6,8,4,5,3,1,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,3,2,8,4,1] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,8,1,4,7] => ([(0,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,3,5,2,4,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,5,3,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,4,7,2,3,8] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,5,4,7,1,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,2,5,7,3] => ([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,3,4,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,4,2,8,3,5,7,6] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,3,5,4,8,7,2,6] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,2,4,8,3,7,5] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,8,5,4,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,8,6,4,7,3] => ([(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,7,4,8,3] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,7,4,2,8,3] => ([(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,4,2,8,6,7,3] => ([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,4,6,2,8,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,4,1,6,2,7,3] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,7,2,8,3] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,1,3,7,6,2,5] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,2,3,1,8,7,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,3,8,7,4] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,2,5,3,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,4,2,3,7,6,1,5] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,7,6,8,3,5,4,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,2,1,3,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,1,3,2,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,3,5,2,7] => ([(0,6),(1,3),(1,5),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,6,8,2,5,4,3] => ([(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,3,2,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,3,6,1,5,2,7] => ([(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,4,5,1,7] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,6,2,5,1,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,4,3,5,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,6,8,7,5,4] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,2,1,8,6,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,8,5,3,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,8,1,5,2] => ([(0,2),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,8,1,6,3,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,3,6,2,1,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,8,2,3,5,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,2,5,7,1,3] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,4,8,2,5,7,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,4,5,8,3,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,7,3,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,2,7,1,3,5] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,2,7,1,3,5] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,4,1,7,3,5] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,6,2,4,8,3] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,7,1,6,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,3,8,7,1,6] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,6,1,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,3,7,6,1,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,2,3,7,6,1,5,8] => ([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,3,5,1,6,8] => ([(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,3,8,4,7,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,3,1,7,8,4] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,2,3,4,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,7,3,5,1,4,8] => ([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,5,1,4,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,3,1,7,8,4] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,3,8,4,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,4,6,8,3] => ([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,3,1,6,4,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,1,5,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,1,7,4,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,4,2,7,5,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,2,7,3,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,5,6,8,3] => ([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,5,6,4,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,1,4,6,3,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,1,5,6,3,4] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,3,1,5,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,3,1,6,4,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,7,2,1,4,6,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,7,1,5,6,8,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[4,2,3,8,1,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[4,2,1,5,3,7,6,8] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,8,4,6,7,2] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,3,2,6,7,8,4] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,3,4,2,7,6,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,4,2,7,5,8] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,1,3,5,8,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,7,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,1,4,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,3,7,4,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,7,4,6,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,7,3,4,5,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,3,4,5,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,4,5,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,3,4,5,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,5,1,3,4,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,8,3,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,3,6,7,8,4] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,5,2,6,1,8,4,3] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,7,8,4,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,4,1,3,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,1,4,2,6] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,7,3,6,2,4] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,4,5,1,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,4,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,7,1,3,4] => ([(0,1),(0,2),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,5,1,3] => ([(0,1),(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,2,6,1,4] => ([(0,1),(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,6,4,7,5] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,3,5,8,1,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,3,7,8,1,6,2] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,2,8,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[8,3,4,1,5,7,6,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,5,1,6,2,8] => ([(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,6,1,4,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,2,8,6,7,4,1] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,2,8,6,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,3,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,8,7,1,4,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,6,3,5,2,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,5,7,2,8] => ([(1,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,5,7,4,6,8,2] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,8,6,1,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,6,1,5,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,4,1,2,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,4,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,7,1,3,5,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,3,4,7,2,8] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,3,7,8,4,6,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,3,7,8,5] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[3,6,2,4,1,7,5,8] => ([(1,4),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,7,4,8,5,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,3,8,4,5,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,8,3,4,6,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,7,5,8,4,1] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,1,4,5,3,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,2,6,1,5,7,3,8] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,4,1,3,6,7,8] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,1,2,6,7,3,8] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,2,7,4,1,3,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,3,1,4,2,8] => ([(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,1,5,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,7,8,4,5,2] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,5,6,2,1,8,3] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,5,2,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,6,2,1,8,4] => ([(0,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,7,6,3,8,4,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,7,8,3,5] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,3,5,2,7,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,4,6,2,7] => ([(0,6),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,8,2,3,7,1,6] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,8,2,5,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,2,5,1,6,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,4,7,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,4,6,5,8,1,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,4,8,7,1,6,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,1,6,3,4,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,7,4,2,5,8] => ([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,2,1,5,3,6,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,3,7,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,1,5,6,4,3] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,6,4,1,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,1,4,8,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,2,6,3,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,3,6,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,4,2,1,8,3,7] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,3,2,7,5,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,6,4,1,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,3,8,1,5,6] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,1,3,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,3,5,8,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,5,3,8,1,4,7] => ([(0,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,3,5,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,7,3,4,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,4,3,2,5] => ([(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,3,8,2,4] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,3,5,8,7] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,3,7,8,5,2] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,3,8,7,2,4] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,6,8,7,1,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,3,5,2,7,1,4,8] => ([(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,6,7,1,4,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,1,4,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,3,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,1,5,4,7,3] => ([(0,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,1,5,7,4] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,4,7,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,7,5,4,3,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,7,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,4,7,6,2,5,8] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,4,1,6,2,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,4,6,3,5,8] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,5,2,4,8] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,4,6,3,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,2,7,3,8] => ([(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,8,2,7,4,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,2,3,6,4,5,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,5,1,7,3] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,3,6,5,2,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,8,1,3,6,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,1,2,6,3,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,4,7,3,2,8] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,1,3,6,5] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,5,7,8,1,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,7,5,8,1,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,3,7,8,1,5] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,5,6,8,7,1,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,5,6,8,3,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,3,8,1,7] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,4,6,8,5,1,7] => ([(0,7),(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,3,4,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,1,2,7,8,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,7,3,8,6,2,5] => ([(0,4),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,5,3,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,7,6,8,4,3] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,8,3,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,7,6,5,1,3] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,2,8,6,5,1,3] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,5,2,7,1,4,3] => ([(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,7,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,5,8,2,1,6,4,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,2,1,6,5,8,4,7] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,4,8,5,7,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,5,8,2,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,5,2,1,7,6] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,1,3,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,6,1,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,8,7,6,2,5] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,8,7,2,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,7,5,4,1,6,3] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,7,4,2,6,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,3,2,8,5,7] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,5,8,3,1,4,7] => ([(0,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,7,8,2,4,5,3,1] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,4,5,7,1,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,8,2,4,5,3,7] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,6,4,2,7,1,5] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,7,6,2,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,4,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,8,5,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,3,7,6,1,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,7,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,2,8,7,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,2,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,6,4,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,4,1,7,5,6] => ([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,1,3,2,7,8,5] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[6,7,2,5,8,4,1,3] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,8,2,5,6,3] => ([(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,6,7,1,5,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,7,8,1,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,8,7,4,3,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,1,3,7,6] => ([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,7,8,6,5,3,1,4] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,5,8,4,2,7] => ([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,3,5,6,1,4,7] => ([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,2,7,5,8] => ([(2,7),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,7,5,8,1,4,6] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,5,6,1,4,7] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,8,1,4,6,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,5,8,1,2,6,3] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[4,7,5,8,1,2,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,7,5,2,8,1,6] => ([(0,3),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,7,8,1,6] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,5,8,3,1,6] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,3,8,1,6] => ([(0,7),(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,2,1,6,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,7,6,2,3] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,4,5,8,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,8,4,2,7,1,5] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,1,7,2,8,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,6,2,8,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,8,2,4,7,5] => ([(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,7,4,3,8,2,5] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,1,6,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,5,1,6,3] => ([(0,1),(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,6,2,1,5,4,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,3,8,7,5,6,4] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,6,5,2,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,7,3,8,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,1,6,3,7,2,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,6,3,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,2,4,8,5,3] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,4,8,6,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,8,5,4,3,1,7] => ([(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,3,5,1,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,4,6,5,2,7] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,4,1,8,3,6] => ([(0,6),(1,2),(1,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,8,5,3,2,7] => ([(0,5),(1,2),(1,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,2,1,6,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,8,2,6,3,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,5,8,1,3,7,6,2] => ([(0,3),(0,4),(0,6),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,4,3,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,7,8,6,3,5,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,6,3,4,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,2,7,4,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,2,5,7,4] => ([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,2,1,8,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,6,1,8,5,2] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,6,3,2,7,1,5,4] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,5,4,7,2,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,5,4,8,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,4,8,5,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,8,7,3,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,5,2,6,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,8,1,4,7] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,2,4,3,5,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,7,1,2,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,3,8,1,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,5,2,7,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,5,6,2,7] => ([(0,6),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,8,3,1,6,7,4] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,7,8,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,1,5,7,4,6] => ([(0,1),(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,2,1,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,1,4,3,8,5] => ([(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,3,8,6,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,4,8,5,6,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,5,1,6,3,8,4] => ([(0,6),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,4,6,3,1] => ([(0,2),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,8,3,7,1,6] => ([(0,4),(0,6),(1,2),(1,3),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,6,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,1,6,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,1,2,7,6] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,3,7,5,2,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,6,3,8,5,2,4] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,4,5,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,8,4,5,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,4,3,7,5,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,5,7,6,4] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,2,8,7,4,6,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,8,3,1,6,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,8,1,2,5] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,4,1,7,8,3] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,5,6,3,8,7,2] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,6,3,2,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,4,3,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,1,3,7,6,4] => ([(0,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,3,7,6,1] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,1,8,2,7,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,3,8,7,2] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,5,4,8,2,7] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,2,5,6,4] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,1,8,3,7,6] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7)],8)
[5,1,4,8,3,7,6,2] => ([(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,7,6,5,3] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,7,6,5,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,4,6,5,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,4,6,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,2,8,7,5,4,6] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,5,7,2,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,1,5,2,8,4,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,7,6,4,8,2] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,3,6,2,7,5] => ([(0,5),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[2,7,3,4,8,6,5,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,4,7,3,6,5] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,6,5,8,3,4] => ([(0,2),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,3,8,1,5,7,4] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,7,4,8,3,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,4,7,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,7,3,6,4,2] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,2,8,5,6] => ([(0,2),(0,7),(1,2),(1,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,8,6,2,7,5,4,1] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,2,5,3,7] => ([(0,7),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,4,2,5,7,3,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,1,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,5,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,8,5,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,6,8,3,5] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,2,4,3,6] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,2,8,3,7,6] => ([(1,5),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,3,2,5,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,2,8,1,3,5] => ([(0,1),(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,8,7,2,3,5] => ([(0,3),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,6,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,3,6,7,5,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,2,8,4,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,3,2,7,5,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,3,5,8,2,4] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,7,6,4,8,2,5] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,4,8,7,3,1,5] => ([(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,3,5,4,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,5,7,4,3,2] => ([(0,4),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,7,6,3,2] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,2,4,6,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,6,4,8,2,7] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,1,4,8,3] => ([(0,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,7,5,3,2,8,1,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,2,8,6,1,3] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,8,6,7,2,5,4,1] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,7,4,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,6,3,7,8,1,5,2] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,8,4,5,2,7] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,2,4,8,3,1,5] => ([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,1,4,3,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,4,2,7,5,6,3] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,2,1,7,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,1,2,5,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,6,4,7,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,8,7,3,4,6] => ([(0,2),(1,6),(1,7),(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,3,8,6,1,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,4,3,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,4,7,3,6,8,2,5] => ([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,1,4,6,8,2,5] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,3,6,8,1,5] => ([(0,7),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,7,6,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,6,1,8,4,3] => ([(0,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,2,6,7,4,5,8,3] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,2,8,7,1,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,3,6,8,1,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,3,8,5,4,7] => ([(0,7),(1,4),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,1,8,3,2,5,7] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,8,1,4,2,7,3,6] => ([(0,6),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,2,1,7,3,5] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[2,3,1,8,7,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,2,4,3,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,1,5,3,7] => ([(0,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,1,3,8,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,5,3,8,2,4,7] => ([(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,2,4,8,3,7] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,4,5,1,3,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,7,4,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,7,2,5,3,6] => ([(0,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,2,4,6,1,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[3,6,7,4,1,2,5,8] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,5,8,2,3,6] => ([(1,6),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,4,7,3,2,5] => ([(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,7,5,4,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,2,6,3,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,4,6,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,7,8,1,6,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,4,2,3,6,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,5,3,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,4,6,3,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,7,8,6,3,5] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,3,5,1,6] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,6,2,5,8,4,7] => ([(1,5),(2,4),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[1,5,3,6,8,2,4,7] => ([(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,1,2,6,3,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[5,8,1,2,6,3,7,4] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,2,3,7,5,8,4] => ([(1,7),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,5,7,8,3] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,4,2,7,3,6,5] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,5,2,3,8,6,4] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,3,5,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,6,1,7,2,5] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,3,7,4,5] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,2,1,3,7,5,6] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,7,6,8,3,4] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,8,2,4,7,6] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[1,2,6,3,7,5,8,4] => ([(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,2,4,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,4,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,3,1,4,6] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,3,1,4,5] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,3,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,8,5,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,7,3,8,6,4,5] => ([(0,1),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,5,3,2,4,8,6] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,6,5,8,3] => ([(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,6,5,7,8,2] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,7,3,4,1,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,3,8,1,4] => ([(0,4),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,7,6,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,1,8,7,5,2,6,4] => ([(0,1),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,8,7,2,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,8,3,1,5,4,7,6] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,5,2,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,1,6,2,7,5] => ([(0,4),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,1,6,4,7,5] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,7,1,5,8,4,3] => ([(0,5),(0,6),(1,2),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,5,1,3,2,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,1,2,7,6,8] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,5,2,3,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,5,2,3,6,4,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,7,2,5,8] => ([(1,6),(2,3),(2,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,2,8,3,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
[4,1,3,6,7,2,5,8] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,1,3,4,7,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,4,3,1,5,8] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,3,1,7,4,5,8] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,2,4,1,8] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,7,1,5,4,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,7,5,8,1,3,6,4] => ([(0,6),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,6,7,3,2,4,8] => ([(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,1,4,7,2,3,8] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,7,8,6,3,4] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,7,4,5,3,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,7,8,4,6,3,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,2,1,7,4,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,6,7,1,5,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,8,6,1,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,8,2,7,4,1,3] => ([(0,1),(0,2),(0,5),(0,6),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,6,5,8,3] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,4,6,1,8,3] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,6,3,2,1,7] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,7,3,1,5,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,6,8,5,2,7] => ([(0,5),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,5,7,1,2,8,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,5,3,4,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,5,3,4,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,8,4,2,3,5] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,7,8,6,4,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,7,8,4,2,3,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,8,2,1,6,7,5,4] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,1,7,5,6,4] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,5,8,3,6] => ([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,6,4,7,8,3,5] => ([(0,1),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,8,3,4,2,1,6] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,3,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,5,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,8,4,6,7,3] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,3,4,2,1,7] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,3,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,4,8,2,7,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,1,4,8,3,5] => ([(0,3),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,4,6,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,3,4,5,1,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,8,3,4,2,5,7] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,2,4,3,8,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,4,2,3,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,4,3,7,8,5,6,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,6,3,4,5,8] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,3,8,2,4,7] => ([(0,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,6,8,5,1,7,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,4,8,6,1,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,3,8,4,5,7,6] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,5,4,7,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)
[2,1,3,7,8,4,6,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,3,8,4,7,6,5] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,4,5,7,6] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,2,8,7,5,4,6,3] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,3,8,1,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,5,7,8,1,4] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,4,6,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,8,4,7,3,2] => ([(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,8,5,7,2,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,7,1,8,3,6,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,5,4,2,3,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,2,8,3,7] => ([(0,1),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,7,6,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,5,2,4,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,5,3,8,1,7] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,2,1,8,3,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,8,4,3,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,1,5,3,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,8,6,7,4,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,1,8,4,7] => ([(0,3),(1,2),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,5,8,1,6,2,3] => ([(0,1),(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,8,1,6,7,3,2] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,6,7,3,2] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,1,7,2,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,7,1,6,2,4,5] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,5,7,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,7,5,6,4,2,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,5,3,7,2,4] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,6,8,1,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,3,7,8,1,4,5] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,3,8,7,2,1,5,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,5,6,3,4,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,3,1,5,4] => ([(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,4,5,8,6,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,7,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,6,8,5,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,4,1,3,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,2,8,1,6,3] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,2,8,1,6,3] => ([(0,1),(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,2,8,4,5,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,6,8,4,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,4,8,3,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,3,6,1,4,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,5,2,8,3,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,2,4,6,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,8,1,2,7] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,6,3,8,5,1] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,6,1,5,4] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,8,7,3,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,5,8,6,4,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,3,8,1,7,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,8,7,6,1,5,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,7,4,6,5,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,1,4,3,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,2,7,6,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,5,7,1,3,4] => ([(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,2,1,6,5] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,1,7,6,3,2] => ([(0,1),(0,4),(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,7,6,2,3,4] => ([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,5,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,6,8,3,4] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,8,3,6,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,4,3,8,7,2,6] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,6,4,3,7] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,6,2,4,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,2,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,6,8,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,2,6,8,4,1] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,6,8,4,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,4,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,2,6,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,7,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,7,2,8,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,8,2,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,7,2,8,6,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,5,7,4,8,6,1] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,4,2,8,6,1] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,4,2,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,7,8,4,6,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,8,6,4,1] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,2,6,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,8,6,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,6,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,3,5,2,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,3,5,2,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,4,8,2,3,7] => ([(0,7),(1,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,2,5,3,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,5,3,6,7] => ([(0,7),(1,7),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,5,2,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,5,2,6,7] => ([(0,7),(1,7),(2,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,1,2,5,4,6,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,5,4,6,7] => ([(0,6),(1,7),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,2,5,1,8,7,6,3] => ([(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[5,2,4,8,1,7,6,3] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,3,2,4,6,8,1,5] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,8,6,7,2,5,3] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,5,7,3,8,2,6] => ([(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,6,8,1,2,5,3,7] => ([(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,6,8,2,1,4,7] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,2,5,4,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,6,3,1,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,2,3,1,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,8,2,3,1,6] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,5,1,8,3,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,7,3,6,5,8,2,4] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,4,2,6,7,1,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,6,2,1,4] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,8,2,6,5,4] => ([(0,2),(0,7),(1,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,5,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,2,4,3,1,6] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,8,6,7,3,4] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,7,8,6,1,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,2,6,8,4,5,1,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,6,8,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,7,6,2,4,3,8,5] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,4,5,3,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,6,2,3,4,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,2,5,8,3,4,1,7] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,3,4,8,2,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,3,6,5,8,4,7] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,8,6,3,7,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,7,8,4,2,3] => ([(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,5,7,2,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,4,6,3,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,2,6,8,5] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[8,1,6,5,2,7,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,5,2,7,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,2,3,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,2,4,8,6,5] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,1,8,2,6,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(6,7)],8)
[4,8,1,3,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,5,3,8,6,2,4] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,1,4,7,6] => ([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,5,8,1,3,7,6] => ([(0,1),(0,6),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,2,4,3,5,7,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,3,8,1,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,7,4,8,6,5,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,5,1,6,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,7,3,2,5,6,4,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,6,5,4,7] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,1,4,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,4,1,5,7,6] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,2,3,1,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,1,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,4,8,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,1,4,3,6,5] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,8,1,3,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,1,8,5,3,4,6,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,3,5,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,2,4,6,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,3,1,5,4,7] => ([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,8,4,1,6,3] => ([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,6,3,8,1,4,7] => ([(0,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,5,6,8,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,6,8,1,4,5,3,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,8,4,6,3,2] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,5,4,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,3,5,8,4,7] => ([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,5,6,4,3,7,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,5,1,7,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,2,1,7,8,4,6] => ([(0,2),(0,6),(1,2),(1,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,1,3,6,7,2,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,3,8,4,7,2] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,3,5,1,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,4,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,4,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,4,8,1,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,8,1,7,2,6] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,3,4,8,7,2,6] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,3,4,8,7,2,6] => ([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,8,4,7,6,2] => ([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,1,4,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,5,8,1,7,6,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,6,5,4,8,1,2,7] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,4,8,2,7,1] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,8,7,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,6,8,4,1,7] => ([(0,7),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,5,1,7,8,3] => ([(0,7),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,6,5,8,4,1,7] => ([(0,7),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,7,4,8,6,5] => ([(0,5),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,4,2,7,5] => ([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,8,5,3,6] => ([(0,1),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,7,3,2,5,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,6,4,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,5,7,4,6,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,3,6,1,4,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,7,5,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,7,8,3,5] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,6,5,7,1,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,1,7,8,6,4] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(6,7)],8)
[4,2,7,8,6,5,1,3] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,2,6,5,3,7] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,8,1,2,3,7,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[7,4,1,3,6,8,5,2] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,2,6,5,4] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,1,4,6,3,8] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,5,7,1,4,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[2,4,3,8,5,7,1,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,3,1,4,6,5,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,7,6,1,3,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,7,1,6,5,8,2,4] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,6,8,2,1,5] => ([(0,1),(0,4),(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,4,7,6,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,8,7,3,5,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,5,1,3,8,7,2] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,1,8,7,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,2,8,5,1,4,6,7] => ([(0,7),(1,7),(2,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,1,2,8,6,7] => ([(0,3),(1,3),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,1,4,2,6,7] => ([(0,7),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,8,1,4,2,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,7,5,8,6,2,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,2,6,1,4,8,3] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,1,8,3,7,6] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[7,2,8,5,3,4,1,6] => ([(0,6),(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,3,1,7,8,2] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,6,4,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,6,3,4,1,8,7] => ([(0,7),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,1,5,8,3,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,7,2,3,8,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,5,8,7,4,1,6] => ([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,8,7,4,6,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,8,1,2,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,8,1,6,4,7] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,4,5,8,3,6,2] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,5,4,2,7,3] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,6,3,1,4,7] => ([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,1,5,7,3] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,8,1,5,4,6] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,6,7,8,3,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,6,2,7,8,3,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,3,7,5,8,4,6,1] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,1,4,6,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,6,7,1,8,4,3] => ([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,3,7,8,5,4,6,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,8,1,2,5,3] => ([(0,2),(0,3),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,2,3,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,2,8,7,4,6,5,3] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,8,7,3,6,2] => ([(0,5),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,7,5,6,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,7,6,1,5,8] => ([(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,5,3,1,4,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,6,2,4,8,5] => ([(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,7,4,6,5] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,6,4,3,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,1,7,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[7,5,4,1,6,3,8,2] => ([(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,3,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,2,4,8,6] => ([(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,5,1,6,8] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,3,2,6,8,7] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,5,4,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,7,5,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,5,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,2,5,4,8,7] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,6,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,7,5,1,3,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,6,5,1,4,7,8,2] => ([(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,7,3,1,5,8,2] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,7,5,3,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,8,7,3,4] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,5,8,7,4] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,3,6,7,5,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,3,5,7,4,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,4,7,2,5] => ([(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,2,4,7,3,6] => ([(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,4,2,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,2,7,1,8,6,5,4] => ([(0,1),(0,3),(1,3),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,5,7,8,3] => ([(0,6),(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,4,1,3,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,2,3,8,1,4,5] => ([(0,1),(0,2),(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,1,7,4,6,3] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,4,7,3,1,8,6] => ([(0,7),(1,2),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,1,2,5,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,8,3,1,2,5] => ([(0,2),(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,3,1,2,6] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,1,5,4,8,6] => ([(0,3),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,4,8,1,3,7] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,4,1,6,2,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,2,4,7,8] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,1,2,7,6,3,8] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,7,8,1,4,5,3,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,8,7,3,6,5] => ([(0,5),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,1,2,4,3,8,7,5] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,7,8,1,2,4,6,5] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,4,1,2,6,8,5] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,3,1,2,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,4,5,1,6] => ([(0,4),(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,5,4,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,3,5,4,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,7,2,5,6,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,4,5,2,6] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,1,7,3,6] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,2,4,5,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,8,1,7,5,6,2] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,7,1,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,7,2,6,5,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,7,6,4,5,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,4,5,6,2] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,1,2,5,4] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,2,4,5,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,3,6,1,5,4] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,3,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,2,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,4,7,3,1,6,5] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,3,1,4,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,4,7,3,2,5] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,2,6,3,1,4] => ([(0,3),(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,3,1,6,4] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,7,5,4,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,5,6,2,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,7,6,5,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,7,6,4,5,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,3,6,5,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,7,3,6,5,1] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,4,5,2,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,6,4,5,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,3,6,5,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,5,3,7,6,4] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,4,7,5,6,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,4,7,1,6,5] => ([(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,6,2,3,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,2,3,8,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,6,2,5,4] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,2,3,7,4,1,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,5,6,4,8,2,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,8,2,7,5,3] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,5,6,1,2,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,6,2,5,4,8,3] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,4,3,8,2] => ([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,6,4,2,7,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,6,4,3,5,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,3,8,7,4] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,5,6,4,2,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,3,7,5,8,2] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,4,5,2,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,6,2,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,5,3,7,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,8,6,3,1] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,5,1,6,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,8,1,2,5,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,8,5,1,3,7,2] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,5,2,8,6,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,6,1,5,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,2,1,6,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,5,1,6,8,3,7,2] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,4,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,4,5,2,6,8,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,5,3,8,7] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,8,4,6,2,7] => ([(0,4),(1,6),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,4,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,8,2,1,3,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,4,8,3,5,6,2,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,7,4,2,3,6,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,1,3,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,2,3,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,1,5,4,2] => ([(0,1),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,6,1,5,7] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,2,5,7,8] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,8,4,3,6,2] => ([(0,3),(0,6),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,6,2,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,3,1,5,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,2,4,7,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,2,5,4,1,8] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,3,4,6,8] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,5,1,2,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,8,7,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,5,2,4,1,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,8,5,1,3,4] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,1,3,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,1,6,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,4,3,8,1,6,5,2] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,4,3,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,2,5,8,1,3] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,4,5,8,1,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,8,3,1,7] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,8,1,4,6] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,4,2,3,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,5,8,6,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,6,8,7,2,5,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,2,7,5,3,4,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,2,6,4,5,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,3,2,8,5,6,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,4,8,3,7] => ([(1,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,4,2,5,6] => ([(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,2,4,7,5,8,3] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,7,4,3,8,5] => ([(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,8,2,3,6,4,7] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,3,6,7,1,4,8] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,1,5,7,2,3,8] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,1,5,7,3,8,2] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,8,5,6,4] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,3,8,2,5] => ([(0,5),(0,7),(1,2),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,3,8,6,2] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,1,4,5,8,6] => ([(0,7),(1,7),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,3,2,7,1,4] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,3,1,7,6,5,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,8,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,5,6,3,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,3,4,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,5,2,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,6,7,8,2,4,5,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,3,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,2,3,1,6,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,7,8,6,1,3] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,8,7,2,6,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,8,5,7,3,2] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,7,5,2,6] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,6,7,2,4,3] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,1,5,8,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,5,6,1,3,8,7,4] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,5,6,1,3,8,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,1,2,5,8,3,7] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,3,5,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,5,7,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,6,2,3,7,5,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,6,4,1,7,5] => ([(0,6),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,8,2,1,7] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,3,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,6,8,3,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,5,2,7,3,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,5,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,2,8,5,6,1] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,8,2,7,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,5,3,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,4,5,3,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,2,7,4,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,4,7,5,6,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,2,7,4,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,4,3,6,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,3,6,5,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,1,7,2,4,3,6] => ([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,5,7,3,8,1,4,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,5,2,1,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,4,7,1,8,5,3] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,5,7,3,8,2,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,8,5,3,7,6,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,3,8,7,5,1] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,8,4,2,7] => ([(0,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,7,8,3,5] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,7,8,4,2] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,2,4,7,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,4,2,3,8,5,1] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,4,6,8,2,3] => ([(0,6),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,7,5,6,3,8] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,4,3,7,6,2,8,5] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,5,7,3,8,4] => ([(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,3,8,2,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,5,7,3,6,4,2,8] => ([(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,2,4,8,3,5] => ([(1,6),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,2,8,4,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,4,1,7,8,6,2] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,5,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,6,3,1,8,4,5] => ([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,3,7,2,6] => ([(0,2),(0,7),(1,3),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,6,8,5,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[8,1,3,5,6,4,7,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,1,5,6,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,8,2,6,5,3,7,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,2,5,6,1,3] => ([(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,6,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,3,1,6,7,4] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,5,1,7,4] => ([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,4,1,7,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,3,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,4,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,4,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,5,4,7,1] => ([(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,6,5,2,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,2,5,3,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,1,4,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,1,2,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,2,6,7,4] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,4,6,7,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,1,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,6,4,7,1,3,5,2] => ([(0,3),(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,4,3,7,6] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,5,3,2,7,1] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,6,2,7,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,5,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,7,3,4,8,1,6] => ([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,7,8,1,3,6] => ([(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,8,5,6,1,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,6,8,7,1,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,7,8,5,4,6,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,1,5,2,7,3] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,2,3,6,4,1,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,8,6,1,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,4,8,2,7,5] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,7,6,2,8,5,3,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,4,7,2,3] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,8,1,7,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,4,5,1,3,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,8,1,4,6,7] => ([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[1,6,8,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,2,4,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,6,3,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,6,4,7,1] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,5,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,5,8,2,4,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,4,8,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,8,4,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,7,4,2,8,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,7,4,8,5,6,3] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,4,8,5,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,8,6,4,3,7,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,5,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,7,3,5,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,4,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,7,3,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,6,8,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,4,1,3,8,7] => ([(0,1),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,3,5,7,2,8] => ([(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,8,1,6,4] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,6,8,5,2,1,7] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,8,1,7,4,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,1,6,8,5,2,3,7] => ([(0,7),(1,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,8,6,7,1,3] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,8,6,7,3,1] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,6,2,4,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,4,8,3,7] => ([(0,3),(1,4),(2,6),(2,7),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,2,4,5,8,6,1,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,2,1,3,8,6,7] => ([(0,3),(1,3),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,3,6,8,5,1,7] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,2,8,6,7] => ([(0,3),(1,3),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,8,6,1,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,8,6,1,2,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,3,7,8,2,5] => ([(0,5),(0,7),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,2,5,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,2,4,3,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,7,8,2,6,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,1,2,6,7,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,3,6,5,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,8,3,6,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,3,2,5,7,4] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,5,7,2,3,6] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,3,4,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,3,4,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,8,7,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,7,8,3,2,4] => ([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,5,6,3,7,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,7,4,2,3,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,7,3,4,2,8] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,3,4,5,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,7,4,2,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,2,3,5,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,2,3,1,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,3,1,2,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,7,3,4,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,7,3,8,1,4,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,7,1,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,3,6,5,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,5,1,8,2,3] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,5,2,6,8,7,4,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,8,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,2,3,7,5,8,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,1,2,8,4] => ([(0,5),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,4,8,6,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,8,7,4,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,8,4,6,5,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,8,1,2,7,6,4] => ([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,3,6,8,5,2,7] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,5,3,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,4,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,4,1,3,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,1,6,2,4] => ([(0,3),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,4,2,6,3] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,5,6,3,2,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,7,1,6,3,8,2] => ([(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,7,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,2,5,8,4,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,6,7,4,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,8,3,6,5,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,8,5,6,1,3] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,7,8,1,6,2] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,8,4,2,1,6] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,2,8,1,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,3,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,4,7,8,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,8,4,7,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,3,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,4,8,1,6,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,4,8,6,7,3,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,8,7,3,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,6,5,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,7,8,1,4,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,8,2,7,5,3,1,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,5,8,3,7] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,2,3,1,7,8,6] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,1,7,2,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,1,4,3,8,2,6,7] => ([(0,7),(1,3),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,6,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,5,2,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,7,3,6,1] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,3,6,5,1] => ([(0,1),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,6,1,4,5,2] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,2,1,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,7,6,3,8,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,1,4,6,2,5,7] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,8,7,1,6] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,7,5,1,6,3,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,2,3,5,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,7,3,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,7,8,2,5,3] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[8,6,3,4,1,2,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,6,1,3,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,8,6,5,1,3,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,3,5,2,1] => ([(0,1),(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,8,3,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,8,1,7,5] => ([(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,4,8,6,2,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,1,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,4,6,5,7] => ([(0,6),(1,7),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[8,1,7,6,2,5,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,1,3,6,7,5,2] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,8,6,1,7,4,2] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,4,7,5,2,6,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,6,7,3,5,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,7,8,5,3,2] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,6,4,1,5,2] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,1,5,7,2,3,8] => ([(1,6),(1,7),(2,4),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,3,2,7,1,6] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,1,3,7,2,6] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,4,5,3,1,7,2,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,1,8,6,2] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,2,4,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,4,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,6,7,5,1,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,8,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,1,8,2,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,8,3,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,8,1,5,3] => ([(0,2),(0,4),(0,5),(1,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,8,7,1,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,4,8,1,6,3,5] => ([(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,1,6,7,8,2,4] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,7,8,6,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,7,8,6,3,5] => ([(0,1),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,5,8,1,6,3,7] => ([(0,6),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,6,8,2,5,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,4,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,2,4,5,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,5,7,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,7,2,5,8,3] => ([(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,1,8,6,3,4] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,6,5,3,8,2] => ([(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,6,4,8,2,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,4,6,2,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,4,5,8,1,3] => ([(0,6),(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,3,8,6,4] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,8,4,1,6] => ([(0,3),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,5,1,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,2,1,4,8,6,5] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,4,1,7,6,5] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,7,6,8,2,5,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,7,1,4,5,8,3] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,2,6,1,5,3,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,8,2,6,4,5] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,5,3,4,7,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,4,1,5,8,6] => ([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,1,6,7,3,4] => ([(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,8,3,4,5,1,7] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,1,2,5,8,7] => ([(0,1),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,4,1,6,2,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,2,8,3,1,6] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,6,2,8,4] => ([(0,7),(1,2),(1,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,6,2,7,5,4,1] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,5,3,7,1] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,1,8,6,3] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,7,6,5,3,2,8] => ([(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,7,1,8,5,4] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,6,1,2,7,8,5,4] => ([(0,1),(0,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,8,7,6,3,2] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,7,6,3,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,6,7,5,2,8] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,4,5,7,6,2,8] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,6,8,7,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,1,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,4,3,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,8,1,4,2,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,5,7,1,4,3,6] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,5,1,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,6,3,7,5] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,4,2,3,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,7,8,4,3,5] => ([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,1,2,5,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,4,7,5,2,3,6] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,1,6,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,2,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,8,1,5,3,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,3,6,8,2,4] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,6,1,8,3,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,6,7,3,4,2] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,4,1,7,8,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,8,2,1,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,4,8,3,2,6,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,8,4,2,7,5,6] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,2,8,3,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,3,2,7,5,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,2,5,4,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,7,3,5,2] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,1,6,3,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,2,5,3,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,1,6,3,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,2,6,4,5,3,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,4,3,6,1,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,5,4,8,6,2,3] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,6,3,5,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,3,2,7,1,4] => ([(0,2),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,3,2,4,8,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,8,6,4,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,6,8,2,7,3] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,7,2,4,8,5] => ([(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,1,6,7,2,5,8] => ([(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,1,5,7,2,4,8] => ([(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,4,8,6,7,3] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,2,1,3,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,4,1,6,5,3] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,4,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,6,5,4,2,8,3] => ([(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,4,2,3,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,4,5,1,8,3] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,8,1,5,7,4,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,1,6,7,4,5] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,8,2,1,7,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,5,6,8,1,3,7,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,8,3,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,2,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,2,1,6,5,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,1,3,5,6,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,1,6,7,5] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,4,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,3,7,8,1,4,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,1,4,3,6,2,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,3,7,1,5,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,8,1,5,4,7,3] => ([(0,5),(0,6),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,4,5,2,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,4,5,6,2,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,1,3,6,4,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,8,4,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,4,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,8,4,7,1] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,5,2,4,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,6,8,7,3,4] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,7,2,1,6,8] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,7,6,1,8,5] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[4,2,6,3,1,5,7,8] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,2,5,8,7,1] => ([(0,1),(0,7),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,7,3,8,2,4] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,7,8,6,4,3,5] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,1,7,8,6,2,4] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,4,1,7,6,8,3] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,3,8,1,7,2,6] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,1,5,6,8,4,2] => ([(0,4),(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,6,2,3,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7)],8)
[1,6,4,2,7,3,8,5] => ([(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,2,5,8,6,3,7] => ([(1,7),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,1,5,7,3,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,8,7,3,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,4,8,5,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,8,4,5,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,3,1,7,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,4,7,5,6,2,8,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,8,3,5,6,2] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,4,8,6,2,7] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,4,8,3,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,5,1,8,6,2,3] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,7,6,3,2,4] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,5,3,2,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,1,6,5,2] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,7,6,2,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,3,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,4,2,3,5,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,3,7,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,3,8,6,5,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,7,3,2,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,1,7,6,2] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,6,3,2,8,5,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,3,8,2,4,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,7,1,2,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[1,3,7,6,8,4,5,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,5,7,2,8,3,4] => ([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,7,2,5,6,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,7,4,3,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,4,8,7,6,1,3] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,6,3,5,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,6,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,1,8,5,3,6] => ([(0,5),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[4,7,2,6,1,8,3,5] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,1,6,8,4] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,3,4,2,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,4,7,8,2,5] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,7,1,3,6,4,8] => ([(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,7,2,5,3,6,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,3,1,2,6,8,7] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,1,3,8,2,6,7] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,5,3,2,7,6,8] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,4,2,6,8] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,7,4,3,8,5] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,3,6,7,1,5,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,5,2,1,6,4,8] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,2,1,3,7,8] => ([(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,1,4,3,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,5,3,7,2,4,8] => ([(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,1,7,2,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,5,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,7,5,4,6,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,2,4,6,3,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,8,1,3,6,2] => ([(0,2),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,8,4,3,7,2] => ([(0,2),(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,7,5,4,3] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,1,6,8,3,4] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,6,1,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,3,2,7,4,6] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,7,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,5,4,6] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,6,2,3,4,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,1,7,2,3,4,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,2,7,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,8,7,3,4,2,5] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,1,3,6,7,8,5,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,4,1,5,6,8,3,2] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,7,8,5,3] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,8,2,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,1,8,2,4,5] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,4,7,8,3,6,2] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,7,8,3,6,2] => ([(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,6,2,3,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,4,1,7,3,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,2,5,1,6] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,4,2,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,5,6,8,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,5,6,8,3,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,5,6,8,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,3,1,6,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,8,1,7,2] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,4,5,8,1,6,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,3,5,6,8,2,7] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,5,8,2,7,3] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,7,3,2,8,5] => ([(0,4),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,4,2,8,5] => ([(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,1,2,8,6] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,7,5,3,2] => ([(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,8,2,3,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,8,2,3,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,2,4,5,3,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,2,3,4,1,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,3,8,7,1,4,6] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,8,3,1,5] => ([(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,5,8,4,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,3,8,4,6] => ([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,6,2,1,3,7,4,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,6,8,5,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,6,5,1,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,4,1,2,7] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,6,8,1,2,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,4,7,1,3,6] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,8,6,5,4] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,3,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,1,4,5,3,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,8,7,3,2,6] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,6,5,7,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,2,4,6,3] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,5,2,8,7,4,3] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,2,6,5,8,3] => ([(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,2,6,4,8,3] => ([(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,6,1,8,3,5] => ([(0,3),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,7,8,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,2,8,5,4,3] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,8,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,8,3,4,2,5] => ([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,4,1,7,8,6,5,2] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,6,5,7,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,3,4,8,2,7,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(6,7)],8)
[8,7,3,6,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,3,4,7,2] => ([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,5,6,4,7,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,1,3,4,8,2] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,4,6,1,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,5,6,3,8,7,4] => ([(0,1),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,7,5,8,6,4,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,3,8,1,7,6] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,5,4,3,8,6,1] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,1,2,6,7,4] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,1,3,6,8,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,5,2,6,4] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,3,6,5,7,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,6,5,7,4] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,5,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,7,2,1,8,6,5,3] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,4,1,7,3] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,4,8,6,1,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,2,4,8,5,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,3,2,8,5,1,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,1,8,6,5,4] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,3,5,6,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,8,4,6,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,3,4,8,5,2,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,5,4,2,6] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,8,4,5,3,1,6] => ([(0,6),(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,3,1,7,5] => ([(0,6),(1,2),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,8,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,5,8,3,4,6,2,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,2,5,7,6] => ([(1,7),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,6,2,3,8,5] => ([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,7,2,3,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,2,3,7,8,6,5] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,7,1,6,4,8,3,2] => ([(0,6),(0,7),(1,2),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,8,1,3,6,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,2,5,8,7] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,8,2,4,7] => ([(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,6,3,2,8,5,7] => ([(1,4),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,5,7,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,6,7,4,1,8,3] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,4,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,1,6,4,5,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,6,3,1,7,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,8,1,6,3,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,2,5,7,3] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,6,2,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,6,8,1,4,3,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,3,8,2,1,4,5] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,3,5,4,1,8,6] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,4,1,8,5] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,4,8,5,3,7,6] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,7,3,8,4,1,6,5] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,3,1,5,4,8,7] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,8,3,4,7,2,6] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,1,4,6,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,8,1,3,6,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,6,5,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,5,7,6,2] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,3,7,2,8,6,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(6,7)],8)
[4,6,3,1,7,2,8,5] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,6,3,1,8,5,4] => ([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,2,5,3,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,2,8,7,4,5] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,1,7,5,4,6,3] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,1,5,7,2,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,7,3,1,2,5,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,1,2,6,8,3] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,8,5,6,1,4] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,3,2,1,7,5,6] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,6,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,7,4,6,3,2] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,8,4,6,2,5] => ([(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,3,6,1,2,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,7,1,2,6] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,4,8,7,2,1,3] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,8,3,7,6,1,2,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,7,1,3,6,5] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,5,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,1,4,5,6,2,8] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,5,2,7,8] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,4,5,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,2,1,5,6,4,8] => ([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,1,5,4,7,2] => ([(0,6),(0,7),(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,4,6,3,5,2,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,7,2,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,5,6,4,3,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,5,4,3,7,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,8,4,3,1,6] => ([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,3,2,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,8,5,3,2,7,4] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,1,8,7,5,3,2] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,6,8,5,2,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,7,8,6,5,2,3] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,7,6,1,2,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,6,1,2,3,8,5] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,7,8,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,7,6,2,3,8,5,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,3,8,6,2,7] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,7,5,8,4,6,2] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,7,6,4,3] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,7,4,5,3,2,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,7,5,3,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,4,6,5,3,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,6,5,8,2,7] => ([(0,5),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,1,5,8,2,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,8,6,5,2,7,4,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,3,7,5,2] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,3,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,1,7,8,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[6,8,7,2,1,5,4,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,1,6,3,7,5,4,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,7,6,4,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,5,4,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,5,7,2,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,5,8,4,2,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,6,5,2,8,3] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,8,6,5,3,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,3,2,5,1] => ([(0,2),(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,2,1,6,4] => ([(0,2),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,6,4,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,5,1,4,2] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,6,8,3,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,8,3,2,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,6,7,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,6,7,3,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,7,3,1,6,8,5] => ([(0,5),(1,4),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[7,3,6,4,2,1,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,2,7,3,1,6] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,8,5,2,7] => ([(0,3),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,1,5,8,6,2] => ([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,5,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,2,6,7,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,1,8,5,6,4] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,8,2,7,4,6] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7)],8)
[7,1,2,6,4,3,8,5] => ([(0,7),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,2,4,7,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,2,3,1,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,3,2,8,5] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,1,8,5,2,4] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,8,6,1,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,6,2,5,8,7] => ([(0,1),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,6,3,2,5,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,8,6,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,8,4,1,5] => ([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,6,8,7,4,3] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,7,5,2,8,4] => ([(0,7),(1,2),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,2,4,5,1,7,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,3,8,7,5] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[4,1,7,6,5,2,8,3] => ([(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,5,6,2,7,3] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,5,3,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,7,3,5,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,3,2,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,7,6,3,8,2,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,6,3,1,7,8,4,5] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[2,1,7,8,3,5,4,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,6,7,4,2,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,1,3,5,2,6,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,2,5,4,1,6] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,5,8,1,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,7,8,6,2,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,6,3,2,1,7,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,7,6,8,3,2] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,7,1,8,3,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,7,4,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,7,8,6,3,2] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,5,4,8,2] => ([(0,7),(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,7,5,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,2,4,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,5,2,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,8,7,4,3] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,5,8,3,6] => ([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,5,8,6,1,7,4] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,1,7,2,8,6,3] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,1,8,5,3,6,2] => ([(0,2),(0,6),(1,3),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,5,3,1,8] => ([(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,3,6,8,2,5] => ([(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,3,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,8,7,1,6,2,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,6,7,4,3,1,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,6,4,3,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,2,7,1,4] => ([(0,2),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,1,5,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,6,4,7,3] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,8,5,4,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,1,4,8,5,3,2] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,5,1,4,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,7,3,2,8,5,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,2,4,7,1,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,6,1,5,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,3,7,8,5,4] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,7,8,5,4,2] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,5,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,8,6,2,7,3] => ([(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,6,1,8,7,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,6,8,7,3,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,5,2,4,7] => ([(0,7),(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,5,6,4,7] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,3,2,1,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,8,2,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,7,5,6,4] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,5,6,4,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,1,5,8,2,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,2,7,1,5,8,3,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,7,5,2,3,6,8] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,7,6,8,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,7,2,8,5,4] => ([(0,2),(1,6),(1,7),(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,6,8,4,7,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,8,4,7,2] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,5,3,2,6] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,1,6,8,4,5,2] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,6,7,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,5,6,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,5,2,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,5,6,3,2] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,2,6,3,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,3,4,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,6,4,2,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,8,2,6,3] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,2,3,6,5,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,2,5,6,3,4,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,6,5,8,3,4,7] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,8,2,6,3,4,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,2,7,5,1,4] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,7,2,6,3,8] => ([(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,2,1,3,6,4,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,7,2,4,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,5,2,3,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,6,4,8,3,2,7] => ([(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,4,8,3,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,7,8,6,2,3] => ([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,2,8,5,4,3] => ([(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,1,7,8,6,4] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[7,4,3,8,6,1,5,2] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,5,8,6,2] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,2,4,5,3,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,2,7,5,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,5),(6,7)],8)
[4,8,7,2,6,1,3,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,2,1,7,3,6] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,7,3,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,8,3,2,5,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,8,4,5,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,3,6,4,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,1,7,3,4,6,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,3,4,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,2,6,4,3,5,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,5,3,4,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,6,2,3,5,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,4,8,6,5,3] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,6,4,8,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,3,6,5,7,1,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,3,1,6,5,2,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,2,6,8,7,4] => ([(0,7),(1,4),(1,5),(2,3),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[3,1,2,4,8,7,5,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,4,1,2,3,7,8,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,6,7,2,5,8,3,4] => ([(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,6,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,6,2,4,1,7] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,6,3,8,1,5] => ([(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,8,6,2,1,3] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,7,4,8,3,1,5,6] => ([(0,7),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,7,4,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,3,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,2,3,6,4,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,7,5,3,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,3,7,5,6] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(6,7)],8)
[7,5,1,8,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,2,4,1,3,7,5,6] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,3,7,4,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,3,6,4,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,7,5,1,8,3] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,5,3,8,1,6] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,4,2,8,1,6] => ([(0,2),(0,7),(1,6),(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,6,3,8,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,5,1,2,3,7] => ([(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,7,1,2,3,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,5,7,1,3,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,4,7,6,1,8,2,5] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,2,1,6,3,4,7] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,5,3,2,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,5,4,1,6,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,5,7,1,6,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,4,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,4,8,3,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,1,7,3,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,4,8,1,5,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,2,4,1,6,3,5,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,1,5,3,4,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,5,4,2,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,3,6,4,1] => ([(0,1),(0,2),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,3,1,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,2,4,7,8,3] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,6,7,5,4,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,4,6,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,5,4,6,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,3,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,3,2,8,5] => ([(0,3),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,5,3,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,3,1,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,5,6,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,3,4,2,1,8,5] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,3,1,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,2,3,5,1,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,2,4,8,7] => ([(0,1),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,6,4,1,7] => ([(0,7),(1,5),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,3,2,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,4,7,6,1,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,1,6,3,8,7] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,2,1,6,7,3,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,8,6,2,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,4,3,8,7] => ([(0,1),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,8,5,7,1,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,6,8,1,5,7,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,5,7,6,3,8] => ([(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,5,8,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,1,3,6,4,8,7,5] => ([(1,2),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,7,5,6,3] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,4,3,8,7,5,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,6,8,7,2,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,7,2,5,8,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,8,6,4,7,3] => ([(0,2),(1,5),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,2,6,1,4,5] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,1,6,7,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,3,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,8,3,6,4,7] => ([(0,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(5,6),(6,7)],8)
[5,8,4,7,3,2,1,6] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,6,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,5,7,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,2,3,5,6,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,3,4,7,2,6] => ([(0,4),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,7,5,6,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,5,3,1,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,1,4,5,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,6,2,1,8,5] => ([(0,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,7,8,6,2,3] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,7,8,1,6,2] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,6,5,1,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,4,8,2,3,7,6] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,5,4,1,6,7] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,3,5,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,2,6,3,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,5,6,3,4,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,4,7,2,3,6,8] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,2,3,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,8,7,1,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,2,3,6,4,7,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,6,4,8,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,2,6,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,5,1,3,2,8] => ([(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,6,2,7,8,4] => ([(0,6),(1,6),(2,4),(2,7),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,7,2,4,1,8,3,5] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,3,2,7,8,4] => ([(0,7),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,1,6,4,7,3,8] => ([(1,7),(2,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,6,2,7,8,3] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,2,5,4,1,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,5,4,2,8,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,2,4,5,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,6,5,1,3,7] => ([(0,7),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,4,7,1,2,6] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,8,3,6,2,7,5] => ([(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,4,8,7,1,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,6,5,8,1,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,2,5,7,4,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,8,6,4,3] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,1,6,8,5,3] => ([(0,4),(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,3,8,5,1] => ([(0,5),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,5,7,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,3,6,5,8,2] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,6,3,4,8,2] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,5,4,7,3,2] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,5,4,2,8,3] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,7,2,4,3] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,6,7,5,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,2,6,8,7,4,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,8,7,3,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,6,7,2,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,6,1,2,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,5,7,2,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,4,8,6,3,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,3,6,1,8,5] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,4,7,8,6,1,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,7,1,4,2,8,5] => ([(0,4),(1,2),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,6,3,5,1,8,2,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,6,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,8,2,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,6,7,3,8,1,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,8,4,6,2,1,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,7,5,8,6,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,4,2,7,5] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,7,6,2,8,3,5] => ([(0,4),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,2,7,5,3,6] => ([(0,4),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,7,2,8,5,3,6] => ([(0,5),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[2,5,6,3,7,4,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,8,4,7,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,7,4,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,3,5,4,8,2] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,8,4,1,6] => ([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,1,7,5,3,4] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,7,4,3,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,4,2,8,5,3,6] => ([(0,7),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,8,1,7,5,3,4] => ([(0,1),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,6,5,3,8,2,7] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,7,1,3,6] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,6,8,7,5,4,2] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,5,6,4,2] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,6,3,4,2] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,7,5,3,6,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,3,1,5,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,6,1,3,4] => ([(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,6,4,5,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,6,4,5,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,6,2,5,3] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,4,3,5,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,3,6,5,2] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,8,7,3,6,2] => ([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,2,6,7,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,5,2,6,1,7] => ([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,7,5,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,2,6,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,7,5,3,1,4] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,6,3,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,4,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,4,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,5,1,3,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,3,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,1,6,4,2] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,6,1,7,5] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,6,1,5,2,8] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,4,3,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,8,5,3,1,2,7] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,3,7,2,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,2,1,6,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,8,7,6,2,5,3] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,1,5,3,8,6] => ([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,4,1,7,2,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,4,3,6,1,7] => ([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,3,1,2,7,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,5,3,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,3,8,4,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,5,7,3,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,8,5,6,3] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,4,6,8,5] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,2,5,7,1,4,3,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,5,3,1,2,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,6,1,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,7,2,6,8] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,1,5,7,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,1,3,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,7,3,1,2,4,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,8,7,6,2,5,4] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,6,7,2,5,4] => ([(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,6,1,8,4,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(5,7),(6,7)],8)
[3,2,6,4,7,1,5,8] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,2,5,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,6,8,3,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,1,5,4,2] => ([(0,2),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,6,8,4,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,4,6,8,5,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,5,1,4,2] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,3,8,6,2,4,5] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,1,8,6,5,3,4] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,7,6,2,1,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,7,2,6,3] => ([(0,3),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,2,7,5,6,3] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,6,8,2,4,3,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,8,1,6,2] => ([(0,1),(0,6),(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,1,4,2,8,5] => ([(0,4),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,4,5,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,5,7,3,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,2,5,1,6,8,4] => ([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,1,7,6,4,8,2] => ([(0,7),(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,1,6,5,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,2,1,8,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,5,2,8,7,1,6,4] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,6,5,4,1,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,3,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,2,6,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,8,5,3,2,6] => ([(0,4),(0,7),(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,6,7,1,4,3,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,2,1,3,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,6,1,7,4,2,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,5,7,8,3] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,5,4,2,7,3,8] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,3,1,7,5,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,8,2,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
[5,3,1,4,7,6,2,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,5,2,7,1,3,8] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,3,5,1,6,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,6,2,1,4,8] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,1,8,2,5] => ([(0,2),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,2,7,6,4,5,8] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,1,2,7,6,3,4,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,1,7,2,4,3,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,8,1,2,7,4] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,5,7,1,3,4,8] => ([(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,7,1,5,6,4,8] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,5,3,4,1,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,3,5,4,7,8] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,1,5,2,8,7,3] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,5,4,2,7,8,3] => ([(0,7),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,5,2,7,8,3] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,6,5,1,3,7,4] => ([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,6,2,7,4,3] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,8,2,7,5,1,4] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,1,7,2,8,3] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,6,1,5,7,4,2] => ([(0,2),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,4,2,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,3,1,6,8,5] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,3,7,8,1,5] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,6,2,5,8,1,7] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,5,7,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,5,7,2,8,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,6,4,8,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,3,2,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,1,7,5,6] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,4,3,7,5,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,2,1,5,3,4] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,6,2,5,1,3,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,8,3,2,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,2,6,4,1,8,3] => ([(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,6,1,3,8,2,7] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,4,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,8,5,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,1,6,4,7,3,5] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,6,5,2,7,4] => ([(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,3,8,5,6,4,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,5,7,4,6,3] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,5,4,7,2,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,8,3,2,6,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,2,5,4,3,7,1,6] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,4,7,2,6] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,7,4,5,3,2] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,4,3,7,2] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,4,2,1,7,3] => ([(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,4,7,5,3] => ([(0,1),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,6,1,2,7,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,8,1,4,6,2,7,3] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,7,6,2,1,4,8,5] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,3,7,1,8,5] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,7,5,1,3,4,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,7,8,5,1] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,5,3,8,4] => ([(0,4),(1,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,2,5,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,8,7,1,3,2] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,4,1,7,8,3,2,5] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,2,1,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,6,4,5,7,1,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,4,6,1,5,8,2] => ([(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,6,5,2,8,1,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,5,8,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,5,7,6,4,1,8,3] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,4,6,2,7,8,3] => ([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,5,3,7,8,6,4] => ([(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,3,5,1,2,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,3,7,2,8,4,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,8,5,4,1,7,2,6] => ([(0,5),(0,6),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,5,8,2,6,7,4] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(5,7),(6,7)],8)
[2,8,5,3,1,7,4,6] => ([(0,6),(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,3,7,1,8,4] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,1,6,4,8,3,5] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,7,5,8,4,6] => ([(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,4,5,7,1,8,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,8,7,1,4,6,5] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,5,6,8,1,3] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,5,4,7,3,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,6,1,8,4] => ([(0,6),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,6,4,2,8,7,1,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,2,6,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,1,6,2,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,8,7,6,2,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,4,7,1,2,3,8,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[6,1,7,3,8,4,5,2] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,6,4,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,6,2,5,4] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,5,6,4,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,2,7,4,6,8,5] => ([(1,2),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,8,4,6,2,7,5] => ([(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,6,7,4,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,1,7,3,8] => ([(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,6,3,8,4,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,1,2,5,3,8] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,7,5,8,6,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,1,6,8,2,3] => ([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,8,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,5,7,4,1,8] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,3,7,8,4] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,3,8,7,4] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,5,1,3,7,4] => ([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,8,3,6,5,2] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,7,3,5,8] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,1,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,5,8,4,3,6,2] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,4,7,2,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,5,1,8,6,3] => ([(0,6),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,7,1,8,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,1,2,7,4,8,3] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,7,8,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,5,1,8,7,4,2] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,5,4,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,3,5,1,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,7,6,8,1,3] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,7,4,8,6,2] => ([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,6,8,2,5,3] => ([(0,2),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,2,6,4,1,5,3,8] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,8,3,7,4] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,5,6,1,4,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,1,6,7,4,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,7,3,6,2] => ([(0,1),(0,2),(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,8,5,2,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,1,6,4,2,3] => ([(0,1),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,2,5,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,3,6,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,6,7,4,2] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,1,4,3,5,8] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,2,6,5,1,7,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,8,4,7,1,3,5] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,5,6,4,1,7,3] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,7,3,5,8,6,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,2,5,1,6,4] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,1,4,3,2,7,5] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,2,4,1,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,7,8,1,2,5,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,1,5,2,3,8,4] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,6,7,2,3,4] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,6,8,2,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,2,1,7,3,5] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,8,1,7,4,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,4,1,3,7,8,5,2] => ([(0,5),(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,8,3,1,2,6] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,8,3,7,5] => ([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,6,8,1,4,7,3] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[7,4,1,6,5,2,3,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,5,2,3,8,7] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,1,7,8,6,2,3] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,4,3,5,2,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,2,4,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,2,5,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,7,5,3,2,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,3,2,7,4,8] => ([(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,4,5,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,3,2,6,8] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,4,3,2,8,6] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,3,2,8,6] => ([(1,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,6,8,5,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,1,8,2,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,5,7,2,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,5,1,4,3,6] => ([(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,2,4,7,3,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,4,5,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,6,2,5,8,7] => ([(0,1),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,8,4,3,6] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,4,7,8,2,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,2,4,8,3,5,6] => ([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,1,3,5,7,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,2,3,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,6,8,5,1,4,2,7] => ([(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,1,6,8,3,7] => ([(0,6),(1,3),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,3,4,6,8,1,7] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,5,6,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,3,1,8,2,4,5] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,4,6,2,8,5] => ([(0,5),(1,4),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,2,5,6,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,3,6,8,7,2] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,1,6,3,2] => ([(0,2),(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,5,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,7,8,5,6,3] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,1,8,4,2,6,7] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[2,1,6,5,8,7,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,4,7,3,8,2] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,7,1,6,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[8,6,7,4,1,3,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,3,6,5,2,8,7] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,3,2,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,6,5,7,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,5,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,5,4,7,3] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,6,1,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,3,8,5,4,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,3,2,5,8,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,4,2,5,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,3,5,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,5,3,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,6,1,8,2,4] => ([(0,5),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,6,3,4,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,3,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,4,8,7,2,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,3,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,2,3,7,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,1,3,2,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,8,2,6,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,6,1,7,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,8,7,2,3,1,6] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,3,6,2,4,8] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,5,2,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,2,5,7,8] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,1,3,2,5,8,6] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,3,2,6,8,5] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[5,7,1,3,6,2,8,4] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,8,2,5,7,3,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,5,2,3,6,1,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,3,4,7,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,4,2,8,1,6] => ([(0,1),(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,1,7,8,2,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,3,2,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,5,1,8,2,4,7] => ([(0,4),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,3,7,4,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,5,4,8,2,7] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,5,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,3,4,8,6,2] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,3,4,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,2,6,4,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,4,7,5,2,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,6,4,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,5,7,2,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,7,6,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,6,2,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,6,2,5,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,1,6,2,5] => ([(0,1),(0,3),(0,5),(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,4,7,2,6] => ([(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,6,5,7,4] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,7,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,3,1,6,7,5] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,3,6,5,8,1] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,6,4,7,1,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,8,6,2,4,3] => ([(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,4,8,3,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,5,1,4,8,2] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,7,2,3,8] => ([(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,7,4,5,2] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,6,4,8,3,5] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,6,2,4,7] => ([(0,7),(1,2),(1,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,7,5,4,6,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,4,5,3,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,7,5,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,5,3,7,2] => ([(0,6),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,3,5,8,2,7] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,3,7,8,6,2] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,8,6,3,2,4] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,3,4,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,2,7,8,5] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,7)],8)
[5,8,3,6,7,2,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,5,7,4,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,3,6,8,4] => ([(0,4),(1,6),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,4,2,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,2,4,7,5,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,4,2,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,4,1,8,2] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,5,6,4,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,5,7,3,4,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,5,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,8,2,4,1,7] => ([(0,5),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,2,5,3,8,4,6] => ([(0,7),(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,2,5,1,8,6] => ([(0,3),(1,6),(1,7),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,5,7,2,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,8,2,3,4,1,7] => ([(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,1,5,3,4,6,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,8,5,6,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,3,7,4,6,1] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,5,4,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,3,2,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,3,5,4,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,4,5,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,1,8,5,6,4] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,2,1,6,7,4] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,7,1,2,5,3,6] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,1,4,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,3,8,2,4,5] => ([(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,8,6,4,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,3,5,8,2,6,7] => ([(0,6),(1,7),(2,5),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,7,4,6,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,6,8,3,5,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,8,6,5,3,4] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,6,4,2,3,8] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,2,7,5,1,6,3] => ([(0,1),(0,5),(0,7),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,7,1,5,3] => ([(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,5,1,4,2,6,7] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,2,5,3,8,4] => ([(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,2,4,3,8,6] => ([(1,3),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,1,4,3,6,7] => ([(0,7),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,5,7,6,8,4] => ([(0,7),(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,1,7,3,2,6,8,4] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,7,2,3,5,1,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,3,7,5,1,6] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,3,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,3,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,7,3,5,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,4,5,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,5,7,3,2,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,5,6,8,2,3] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,2,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,2,5,4,3] => ([(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,7,6,3,5,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,5,2,3,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,5,3,1,8,7,4] => ([(0,1),(0,4),(1,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,8,7,1,4] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,5,3,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,5,8,7,3,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,5,2,3,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,5,3,1,6] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,7,5,3,1,6] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,7,5,3,1,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,7,5,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,8,7,3,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,7,5,3,1,4] => ([(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,3,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,4,5,3,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,4,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,7,5,3,1,6] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,6,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,8,4,7,2,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,2,5,7,1,3] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,2,5,7,3,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,2,4,7,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,3,2,7,4,6] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,6,2,5,4,1] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,3,5,8,2,7] => ([(0,3),(1,6),(1,7),(2,4),(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,3,8,7,2,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,7,1,8,3,4,5] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,8,1,7,2,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,5,1,4,7,3] => ([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,7,6,1,8,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,8,6,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,3,8,5,7,4] => ([(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,2,6,8,5,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,6,8,2,5] => ([(0,4),(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,2,7,3,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,2,8,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,6,8,5,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,2,4,7,6,5] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,7,3,6,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,4,6,5,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,2,4,7,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,4,6,2,5,7] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,7,3,5,8,1,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,4,5,6,2,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,7,8,6,3,1,5] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,8,6,3,5] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,4,8,1,6,5] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,6,3,5,8,7,4,2] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,3,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,2,6,8,4,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,7,1,6,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[8,4,2,6,7,3,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,7,8,6,2,3] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,4,8,2,3,7,5] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,3,5,8,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,6,3,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,8,6,4,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,1,6,2,5,8,3] => ([(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,4,8,7,3,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,3,7,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,4,5,6,2,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,2,5,4,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,7,4,2,6] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,7,8,3,5,4] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,6,7,3,5] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,5,7,3,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,2,6,5,8,3,4] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,1,4,7,5,8,3] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,5,7,2,6,8,4] => ([(0,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,7,5,2,6,8,4] => ([(0,6),(1,2),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,5,1,6,8,4] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,7,3,1,6,8,4] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,2,1,3,4,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,1,2,7,8,5] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,5,6,8,4,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,3,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,6,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,4,6,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,6,2,5,7] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,7,8,4,2,5] => ([(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,8,5,6,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,3,8,4,6,7] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[1,4,3,5,8,2,6,7] => ([(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,3,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,4,5,8,2,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,4,3,5,8,2,7] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,8,2,4,7] => ([(0,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,4,3,8,6,2,5,7] => ([(1,7),(2,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,8,6,2,5,7] => ([(0,6),(1,4),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,4,6,3,8,2] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,3,5,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,7,1,8,4,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,2,4,8,6,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,1,4,8,5,2] => ([(0,4),(0,7),(1,2),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,5,6,2,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,4,3,8,2,6] => ([(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,7,3,2,6] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,3,8,2,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,1,4,7,8,5] => ([(0,6),(1,7),(2,5),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,3,4,1,8,5,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,1,3,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,6,5,1,3,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,7,1,2,6] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,7,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,7,8,1,4,6,5] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,3,5,4,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,8,2,4,6,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,6,4,1,8,5] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,4,1,8,3,7] => ([(0,1),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,4,1,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,4,1,8,3,7] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,3,5,8,1,7] => ([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,6,8,5,3,1] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,6,3,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,8,5,6,3] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,5,2,3,7] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,4,1,6,3,5,2,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,6,8,5,2] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,3,5,7,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,7,3,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,8,5,1,2,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,1,2,7,4,6,3] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,8,3,4,5,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,5,4,8,2,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,4,2,6,3,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,1,2,4,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,1,5,7,3,6,8,2] => ([(0,7),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,7,6,8,2,3] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,1,6,8,4,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,1,7,8,5,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,7,4,1,8,3] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,8,7,4,5,2] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,3,5,6,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,7,8,2,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,6,4,1,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,1,8,6,4] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,7,6,3,2,1,8,4] => ([(0,2),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,4,1,8,6] => ([(0,3),(1,2),(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,4,2,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,1,8,6,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,3,5,4,1,6,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,1,6,8,3,2,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,7,6,8,2,4] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,5,3,2,4,8,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,4,3,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,2,4,7,5] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,1,5,4,3,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,1,5,8,4,7] => ([(0,2),(1,6),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,5,6,2,8,1,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,7,8,4,1] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,6,8,2,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,5,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,2,5,6,8,3] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,7,1,5,3] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,8,3,7,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,2,4,7,6,8,3] => ([(1,7),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,1,8,3,6] => ([(0,7),(1,2),(1,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,2,4,6,3,5,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,5,6,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,6,7,4,5,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,7,1,8,4] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,3,6,4,8,2] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,5,4,1,7,3,6] => ([(0,6),(0,7),(1,2),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,7,6,4,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,2,8,6,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,3,8,5,1] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,2,4,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,3,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,2,6,8,5,1] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,3,2,5,1] => ([(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,7,4,3,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,6,4,2,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,8,6,1,4,7] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,3,8,5,6,2,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,4,3,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,8,7,2,3,6,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,6,1,4,2,5,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,6,5,2,7,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,6,4,2,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,2,4,7,5,3,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,1,4,6,7,2,5] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,2,6,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,5,1,8,7,3,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,1,7,3,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,4,3,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,2,5,7,1,8] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,3,4,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,6,5,1,7,4,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,2,5,8,3] => ([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,4,8,7,1,3] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,1,3,2,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,8,4,3,2,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,2,7,6,4,3] => ([(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,2,5,4,3] => ([(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,2,5,4,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,5,7,1,8,2,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,3,6,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,6,4,8,3,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,8,5,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,4,2,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,6,2,3,8,4] => ([(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,3,7,6,2,5,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,7,4,6,8,5,2] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,6,8,1,5,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,3,1,7,6,2,5] => ([(0,1),(0,3),(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,3,8,7,2] => ([(0,5),(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,6,4,3,1,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,8,6,5,2] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[9,1,2,3,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,1,2,3,4,5,6,9,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[7,1,2,3,4,5,9,6,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[9,1,2,3,4,5,8,6,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,1,2,3,4,5,8,9,6] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[6,1,2,3,4,9,5,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[6,1,2,3,4,8,5,9,7] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[9,1,2,3,4,7,5,6,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,3,4,8,5,6,7] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,2,3,4,7,5,9,6] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,1,2,3,4,7,9,5,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[6,1,2,3,4,9,8,5,7] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(5,8),(6,7)],9)
[9,1,2,3,4,7,8,5,6] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,1,2,3,4,7,8,9,5] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[5,1,2,3,9,4,6,7,8] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9)
[5,1,2,3,8,4,6,9,7] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[8,1,2,3,9,4,5,6,7] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[5,1,2,3,9,8,4,6,7] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[9,1,2,3,6,8,4,5,7] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[5,1,2,3,6,9,8,4,7] => ([(0,8),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,8),(6,8),(7,8)],9)
[5,1,2,3,6,7,8,9,4] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[4,1,2,8,3,5,6,9,7] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[4,1,2,9,3,5,8,6,7] => ([(0,8),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(7,8)],9)
[4,1,2,9,3,8,5,6,7] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(7,8)],9)
[9,1,2,8,3,4,5,6,7] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,1,2,8,3,4,5,9,6] => ([(0,8),(1,8),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,1,2,5,9,3,6,7,8] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[4,1,2,8,9,3,5,6,7] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[8,1,2,5,9,3,4,6,7] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,1,2,9,6,3,4,5,7] => ([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[4,1,2,5,9,8,3,6,7] => ([(0,6),(1,5),(2,5),(3,7),(3,8),(4,7),(4,8),(5,6),(6,7),(6,8),(7,8)],9)
[9,1,2,8,6,7,3,4,5] => ([(0,8),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,1,2,5,6,7,9,3,8] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[4,1,2,9,6,7,8,3,5] => ([(0,5),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(6,8),(7,8)],9)
[9,1,2,5,6,7,8,3,4] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[4,1,2,5,6,7,8,9,3] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[3,1,9,2,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[3,1,8,2,4,5,6,9,7] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[3,1,9,2,4,5,8,6,7] => ([(0,6),(1,8),(2,8),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(7,8)],9)
[3,1,5,2,7,4,9,6,8] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,4,2,3,5,6,9,7] => ([(0,8),(1,8),(2,8),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,4,2,3,5,8,6,7] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[6,1,4,2,3,7,8,9,5] => ([(0,8),(1,7),(2,7),(3,7),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[9,1,8,2,3,4,5,6,7] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,7,2,3,4,5,9,6] => ([(0,8),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,1,4,9,2,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[3,1,4,9,2,5,8,6,7] => ([(0,8),(1,6),(2,5),(3,7),(3,8),(4,7),(4,8),(5,6),(6,8),(7,8)],9)
[3,1,9,8,2,4,5,6,7] => ([(0,5),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(6,7),(6,8),(7,8)],9)
[9,1,4,5,2,3,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[7,1,4,5,2,3,8,9,6] => ([(0,7),(1,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,8),(7,8)],9)
[7,1,4,9,2,3,5,6,8] => ([(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,1,4,8,2,3,5,6,7] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,1,6,5,2,3,4,7,8] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,1,9,6,2,3,4,5,8] => ([(0,8),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,1,8,6,2,3,4,5,7] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,1,8,9,2,3,4,5,6] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[3,1,4,8,9,2,5,6,7] => ([(0,8),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[3,1,8,9,7,2,4,5,6] => ([(0,1),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,1,4,5,6,2,3,9,7] => ([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,1,4,9,7,2,3,5,6] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[8,1,9,5,6,2,3,4,7] => ([(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,1,9,7,6,2,3,4,5] => ([(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[7,1,4,5,6,2,8,9,3] => ([(0,8),(1,7),(2,7),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,1,4,5,6,9,2,7,8] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[3,1,4,5,6,8,2,9,7] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[3,1,4,9,8,7,2,5,6] => ([(0,8),(1,2),(2,8),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,1,9,8,6,7,2,4,5] => ([(0,1),(1,6),(2,4),(2,5),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,4,5,6,7,2,3,8] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,1,4,8,6,7,2,3,5] => ([(0,8),(1,5),(1,6),(1,8),(2,3),(2,4),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,8,5,6,7,2,3,4] => ([(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,4,5,6,7,2,9,3] => ([(0,8),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,1,4,5,6,7,9,2,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[3,1,4,9,6,7,8,2,5] => ([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[3,1,9,5,6,7,8,2,4] => ([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[9,1,4,5,6,7,8,2,3] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,1,4,5,6,7,8,9,2] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,9,1,3,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,8,1,3,4,5,6,9,7] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[2,7,1,3,4,5,9,6,8] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[2,9,1,3,4,5,8,6,7] => ([(0,8),(1,8),(2,8),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,7,1,3,4,5,8,9,6] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[2,6,1,3,4,9,5,7,8] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[2,9,1,3,4,8,5,6,7] => ([(0,6),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,8,1,3,9,4,5,6,7] => ([(0,6),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8)],9)
[2,9,1,3,8,7,4,5,6] => ([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,1,3,6,7,8,4,5] => ([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,5,1,3,6,7,8,9,4] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[2,4,1,6,3,8,5,9,7] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,9,1,8,3,4,5,6,7] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,7,1,6,3,4,8,9,5] => ([(0,6),(1,6),(2,5),(3,7),(3,8),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,6,1,5,3,7,8,9,4] => ([(0,8),(1,8),(2,8),(3,4),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[2,4,1,5,9,3,6,7,8] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[2,4,1,8,9,3,5,6,7] => ([(0,5),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(6,7),(6,8)],9)
[2,8,1,9,7,3,4,5,6] => ([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,9,1,8,6,7,3,4,5] => ([(0,1),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,1,5,6,7,9,3,8] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[2,4,1,5,6,9,8,3,7] => ([(0,8),(1,8),(2,4),(3,6),(3,7),(4,5),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,1,5,6,7,8,3,4] => ([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,4,1,5,6,7,8,9,3] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[9,3,1,2,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,1,2,4,5,6,9,7] => ([(0,8),(1,8),(2,8),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,1,2,4,5,8,6,7] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[6,3,1,2,4,7,8,9,5] => ([(0,8),(1,7),(2,7),(3,7),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[9,3,1,2,6,7,8,4,5] => ([(0,5),(0,8),(1,5),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[5,3,1,2,6,7,8,9,4] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(7,8)],9)
[9,4,1,2,3,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,4,1,2,3,5,8,9,6] => ([(0,8),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[6,4,1,2,3,7,8,9,5] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[5,9,1,2,3,4,6,7,8] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[5,8,1,2,3,4,6,9,7] => ([(0,6),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8)],9)
[5,7,1,2,3,4,8,9,6] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8)],9)
[9,6,1,2,3,4,5,7,8] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,1,2,3,4,5,9,7] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[9,7,1,2,3,4,5,6,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,1,2,3,4,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,7,1,2,3,4,5,9,6] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,6,1,2,3,4,8,5,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,1,2,3,4,8,5,6] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[7,6,1,2,3,4,8,9,5] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,9,1,2,3,8,4,6,7] => ([(0,6),(0,8),(1,6),(1,8),(2,6),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[9,8,1,2,3,7,4,5,6] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,1,2,3,7,4,9,5] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[9,6,1,2,3,7,8,4,5] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,1,2,3,7,8,9,4] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[5,4,1,2,9,3,6,7,8] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[8,4,1,2,9,3,5,6,7] => ([(0,6),(0,8),(1,6),(1,8),(2,6),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[5,8,1,2,9,3,4,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(2,8),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,7,1,2,6,3,8,4,5] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,1,2,6,7,3,4,5] => ([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,1,2,6,7,9,3,8] => ([(0,8),(1,8),(2,3),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[5,4,1,2,6,7,8,9,3] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[4,3,1,9,2,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(5,8),(6,7)],9)
[9,3,1,8,2,4,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,1,8,2,3,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,9,1,5,2,3,4,7,8] => ([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,7,1,6,2,3,4,5,8] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,1,9,2,3,4,5,6] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[8,7,1,6,2,3,4,9,5] => ([(0,5),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,1,6,2,8,3,5,7] => ([(0,7),(0,8),(1,6),(1,8),(2,5),(2,6),(2,8),(3,5),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[9,8,1,6,2,7,3,4,5] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,1,7,6,2,3,4,5] => ([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,1,5,6,8,2,9,7] => ([(0,8),(1,8),(2,4),(3,6),(3,7),(4,5),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,1,5,9,8,2,6,7] => ([(0,8),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,1,5,8,7,2,9,6] => ([(0,7),(1,8),(2,5),(2,6),(3,4),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,8)],9)
[8,9,1,5,6,7,2,3,4] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,3,1,5,6,7,9,2,8] => ([(0,8),(1,8),(2,8),(3,4),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[4,3,1,5,6,9,8,2,7] => ([(0,8),(1,8),(2,6),(2,7),(3,4),(3,5),(4,5),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,1,5,6,7,8,2,4] => ([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[9,4,1,5,6,7,8,2,3] => ([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[4,3,1,5,6,7,8,9,2] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[2,3,9,1,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[2,3,8,1,4,5,6,9,7] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[2,3,9,1,4,5,8,6,7] => ([(0,8),(1,8),(2,6),(3,6),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,3,9,1,4,7,8,5,6] => ([(0,7),(1,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,9,1,8,7,4,5,6] => ([(0,5),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,8,1,6,7,4,9,5] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,3,5,1,6,7,9,4,8] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[2,3,9,1,6,7,8,4,5] => ([(0,5),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,5,1,6,7,8,9,4] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[2,9,4,1,3,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,6,4,1,3,7,8,9,5] => ([(0,7),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[2,9,5,1,3,4,6,7,8] => ([(0,8),(1,8),(2,8),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,6,9,1,3,4,5,7,8] => ([(0,8),(1,8),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,9,7,1,3,4,5,6,8] => ([(0,8),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,8,1,3,4,5,6,7] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,6,7,1,3,4,8,9,5] => ([(0,6),(1,6),(2,5),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,9,4,1,6,3,5,7,8] => ([(0,7),(1,8),(2,8),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,8,4,1,9,3,5,6,7] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,8)],9)
[2,9,4,1,6,3,8,5,7] => ([(0,7),(1,6),(1,8),(2,3),(2,4),(2,8),(3,5),(3,8),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,9,8,1,7,3,4,5,6] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,5,1,6,7,8,3,4] => ([(0,4),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,3,4,1,2,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,3,4,1,2,7,8,9,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,8),(7,8)],9)
[9,3,7,1,2,4,5,6,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,3,8,1,2,4,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,5,4,1,2,3,6,7,8] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,5,4,1,2,3,6,9,7] => ([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,9,4,1,2,3,5,7,8] => ([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[6,8,4,1,2,3,5,9,7] => ([(0,2),(1,7),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,7,4,1,2,3,5,6,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,4,1,2,3,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,9,5,1,2,3,4,7,8] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[6,8,5,1,2,3,4,9,7] => ([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[8,7,5,1,2,3,4,9,6] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,7,9,1,2,3,4,5,8] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[6,9,8,1,2,3,4,5,7] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[9,7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,7,8,1,2,3,4,9,5] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[6,5,4,1,2,8,3,9,7] => ([(0,2),(1,2),(1,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,5,1,7,2,3,4,6] => ([(0,6),(0,7),(0,8),(1,5),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,1,6,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[7,8,5,1,6,2,3,9,4] => ([(0,5),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[5,3,4,1,6,8,2,9,7] => ([(0,3),(1,8),(2,3),(2,8),(4,5),(4,6),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,4,1,8,7,2,5,6] => ([(0,1),(0,2),(0,8),(1,5),(1,8),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,4,1,6,7,2,9,5] => ([(0,6),(1,2),(1,3),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,5,4,1,8,7,2,3,6] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[8,5,4,1,6,7,2,9,3] => ([(0,7),(1,4),(1,7),(1,8),(2,4),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,3,4,1,9,7,8,2,6] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,8),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[9,3,5,1,6,7,8,2,4] => ([(0,4),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,5,4,1,6,7,8,2,3] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[5,3,4,1,6,7,8,9,2] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,3,4,9,1,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[2,3,4,9,1,5,8,6,7] => ([(0,8),(1,7),(2,7),(3,7),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[2,3,4,9,1,7,8,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,6,1,7,8,9,5] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9)
[2,3,9,5,1,4,6,7,8] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,9,6,1,4,5,7,8] => ([(0,8),(1,8),(2,6),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,7,9,1,4,5,6,8] => ([(0,8),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,9,8,1,4,5,6,7] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,9,5,1,7,4,6,8] => ([(0,8),(1,7),(2,7),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,3,9,6,1,7,8,4,5] => ([(0,7),(1,7),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[2,9,4,5,1,3,6,7,8] => ([(0,8),(1,8),(2,8),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,7,4,5,1,3,8,9,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,9,8,6,1,3,4,5,7] => ([(0,5),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,7,8,9,1,3,4,5,6] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[2,8,9,6,1,7,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,9,6,5,1,7,8,3,4] => ([(0,3),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[7,3,4,5,1,2,8,9,6] => ([(0,5),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[9,3,4,8,1,2,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,3,4,8,1,2,5,9,6] => ([(0,4),(1,7),(1,8),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,3,8,9,1,2,4,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,8,4,5,1,2,3,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,4,6,1,2,3,9,5] => ([(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,8,6,5,1,2,3,4,7] => ([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,6,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[7,8,6,5,1,2,3,9,4] => ([(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,9,6,1,7,2,4,5] => ([(0,3),(0,5),(0,8),(1,4),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,3,6,5,1,7,2,9,4] => ([(0,7),(1,6),(1,7),(1,8),(2,3),(2,6),(2,8),(3,4),(3,5),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,6,4,5,1,7,2,9,3] => ([(0,7),(1,5),(1,7),(1,8),(2,3),(2,4),(2,6),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[6,3,4,5,1,7,9,2,8] => ([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[6,3,4,5,1,9,8,2,7] => ([(0,4),(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,8),(5,8),(6,7),(7,8)],9)
[9,3,4,6,1,7,8,2,5] => ([(0,5),(0,7),(0,8),(1,5),(1,7),(1,8),(2,4),(2,7),(2,8),(3,4),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[6,3,4,5,1,7,8,9,2] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,3,4,5,9,1,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[2,3,4,5,8,1,6,9,7] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[2,3,4,5,9,1,8,6,7] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(7,8)],9)
[2,3,4,5,7,1,8,9,6] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[2,3,4,9,6,1,5,7,8] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,9,7,1,5,6,8] => ([(0,8),(1,7),(2,7),(3,7),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,9,6,1,8,5,7] => ([(0,7),(1,7),(2,7),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,3,4,9,7,1,8,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,9,5,6,1,4,7,8] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,3,8,5,6,1,4,9,7] => ([(0,7),(1,7),(2,3),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,3,9,5,6,1,8,4,7] => ([(0,7),(1,7),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[2,8,4,5,6,1,3,9,7] => ([(0,7),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,8,9,5,7,1,3,4,6] => ([(0,5),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[2,8,9,7,6,1,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,7,5,6,1,8,3,4] => ([(0,6),(1,4),(1,5),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,4,5,6,1,2,9,7] => ([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,3,4,7,6,1,2,9,5] => ([(0,3),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,3,9,7,6,1,2,4,5] => ([(0,3),(0,4),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[8,3,7,5,6,1,2,9,4] => ([(0,6),(1,4),(1,5),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,4,5,6,1,2,3,8] => ([(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,4,5,6,1,2,3,7] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,7,4,5,6,1,2,9,3] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,3,4,5,6,1,9,2,8] => ([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[9,3,4,5,6,1,8,2,7] => ([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[9,3,7,5,6,1,8,2,4] => ([(0,5),(0,7),(0,8),(1,4),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[7,3,4,5,6,1,8,9,2] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,3,4,5,6,9,1,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[2,3,4,5,6,8,1,9,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[2,3,4,5,9,7,1,6,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[2,3,4,5,9,8,1,6,7] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[2,3,4,9,6,7,1,5,8] => ([(0,8),(1,8),(2,8),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,3,9,5,6,7,1,4,8] => ([(0,8),(1,7),(2,7),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,3,9,5,6,8,1,4,7] => ([(0,7),(1,7),(2,6),(2,8),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,4,5,6,7,1,3,8] => ([(0,8),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,9,4,5,6,8,1,3,7] => ([(0,7),(1,5),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,9,4,5,8,7,1,3,6] => ([(0,7),(1,4),(1,7),(1,8),(2,4),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,4,8,6,7,1,3,5] => ([(0,7),(1,5),(1,7),(1,8),(2,3),(2,4),(2,6),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,8,5,6,7,1,3,4] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,8,4,5,6,7,1,9,3] => ([(0,8),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,3,4,5,6,7,1,2,8] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,3,4,5,6,8,1,2,7] => ([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,8,4,5,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,4,5,6,7,1,9,2] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,3,4,5,6,7,9,1,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,3,4,5,6,9,8,1,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[2,3,4,5,9,7,8,1,6] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,3,4,9,6,7,8,1,5] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,3,9,5,6,7,8,1,4] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,9,4,5,6,7,8,1,3] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[9,3,4,5,6,7,8,1,2] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,3,4,5,6,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,6,7,8,1,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,6,8,9,1,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,4,5,7,8,9,1,6] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,4,6,7,8,9,1,5] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,5,6,7,8,9,1,4] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,4,5,6,7,8,9,1,3] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,6,7,8,9,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,4,5,6,7,1,8,9] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,6,1,9,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9)
[2,3,4,5,1,8,9,6,7] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7)],9)
[2,3,4,1,7,8,9,5,6] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[2,3,1,6,7,8,9,4,5] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[2,1,5,6,7,8,9,3,4] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,4,5,6,7,8,9,2,3] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,2,3,4,5,6,7,9,8] => ([(7,8)],9)
[2,1,3,4,5,6,7,8,9] => ([(7,8)],9)
[1,8,2,3,4,5,6,9,7] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[7,1,2,3,4,5,6,9,8] => ([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,1,9,3,4,5,6,7,8] => ([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,8,1,3,4,5,6,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,2,3,4,5,6,7,8,9] => ([],9)
[1,2,3,4,5,6,8,9,7] => ([(6,8),(7,8)],9)
[1,2,3,4,5,7,8,9,6] => ([(5,8),(6,8),(7,8)],9)
[1,2,3,4,6,7,8,9,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[1,2,3,5,6,7,8,9,4] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,2,4,5,6,7,8,9,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,3,4,5,6,7,8,9,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,2,3,4,5,6,9,8,7] => ([(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,8,7,9,6] => ([(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,7,6,8,9,5] => ([(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,6,5,7,8,9,4] => ([(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,5,4,6,7,8,9,3] => ([(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,4,3,5,6,7,8,9,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,4,5,6,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,7,6,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,9,6,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,9,5,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,9,4,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,4,9,3,2,1] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,4,3,9,2,1] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,4,3,2,9,1] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,4,3,2,1,9] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,6,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,7,9,5,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,5,6,9,4,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,4,5,9,3,2,1] => ([(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,3,4,9,2,1] => ([(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,4,2,3,9,1] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,4,3,1,2,9] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,4,5,3,2,1,9] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,7,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,5,4,6,3,2,1,9] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,4,6,5,3,2,1,9] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,6,5,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,5,7,6,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,2,1,3,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[9,2,3,1,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,3,5,6,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,2,5,6,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,6,9,7,8] => ([(6,8),(7,8)],9)
[1,2,3,4,5,8,6,9,7] => ([(5,8),(6,7),(7,8)],9)
[1,2,3,4,7,5,8,9,6] => ([(4,8),(5,8),(6,7),(7,8)],9)
[1,2,3,6,4,7,8,9,5] => ([(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,2,5,3,6,7,8,9,4] => ([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,4,2,5,6,7,8,9,3] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[9,8,1,2,3,4,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,8,7,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,7,8,9,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[9,6,7,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[8,9,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,8,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,9,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,8,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,8,7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,7,8,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,8,7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,8,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,8,7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,6,5,4,3,2,1,9] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,8,5,4,3,2,1,9] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,2,3,4,5,6,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,9,2,3,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[7,8,1,2,3,4,5,6,9] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,8,9,2,3,4,5,6,7] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,1,8,2,3,4,5,6,9] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[6,8,1,2,3,4,5,7,9] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,8,2,9,3,4,5,6,7] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,7,9,2,3,4,5,6,8] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,1,4,3,6,5,8,7,9] => ([(1,8),(2,7),(3,6),(4,5)],9)
[2,4,1,3,6,5,8,7,9] => ([(1,4),(2,3),(5,8),(6,7),(7,8)],9)
[2,4,1,6,3,5,8,7,9] => ([(1,2),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[2,4,1,6,3,8,5,7,9] => ([(1,8),(2,7),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,4,1,6,3,7,5,9,8] => ([(0,8),(1,7),(2,3),(4,5),(4,6),(5,7),(6,8)],9)
[2,4,1,5,3,7,6,9,8] => ([(0,3),(1,2),(4,7),(5,6),(6,8),(7,8)],9)
[2,3,1,5,4,7,6,9,8] => ([(0,5),(1,4),(2,3),(6,8),(7,8)],9)
[1,3,2,5,4,7,6,9,8] => ([(1,8),(2,7),(3,6),(4,5)],9)
[2,4,6,1,3,5,8,7,9] => ([(1,2),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[2,4,1,6,8,3,5,7,9] => ([(1,8),(2,6),(3,4),(3,8),(4,7),(5,6),(5,7),(7,8)],9)
[2,4,1,6,3,8,9,5,7] => ([(0,7),(1,3),(1,4),(2,5),(2,6),(3,7),(4,8),(5,8),(6,8)],9)
[2,4,1,6,3,7,5,8,9] => ([(2,8),(3,7),(4,5),(4,6),(5,7),(6,8)],9)
[2,4,1,5,3,8,6,9,7] => ([(0,6),(1,5),(2,8),(3,7),(4,7),(4,8),(5,6)],9)
[2,3,1,6,4,7,5,9,8] => ([(0,1),(2,8),(3,7),(4,6),(5,6),(7,8)],9)
[1,4,2,5,3,7,6,9,8] => ([(1,4),(2,3),(5,8),(6,7),(7,8)],9)
[7,1,2,3,4,5,6,8,9] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[3,4,1,2,5,6,7,8,9] => ([(5,7),(5,8),(6,7),(6,8)],9)
[3,2,1,4,5,6,7,8,9] => ([(6,7),(6,8),(7,8)],9)
[4,5,6,1,2,3,7,8,9] => ([(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[4,2,5,1,3,6,7,8,9] => ([(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[4,3,2,1,5,6,7,8,9] => ([(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,7,8,1,2,3,4,9] => ([(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[5,2,6,7,1,3,4,8,9] => ([(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(6,7),(7,8)],9)
[5,6,3,4,1,2,7,8,9] => ([(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[5,3,2,6,1,4,7,8,9] => ([(3,4),(3,8),(4,7),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,2,1,6,7,8,9] => ([(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,2,7,8,9,1,3,4,5] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,8),(2,4),(2,5),(2,6),(2,8),(3,4),(3,5),(3,6),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[6,7,3,4,8,1,2,5,9] => ([(1,2),(1,7),(1,8),(2,5),(2,6),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[6,3,2,7,8,1,4,5,9] => ([(1,3),(1,4),(1,8),(2,3),(2,4),(2,8),(3,7),(4,7),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,4,7,2,5,1,3,8,9] => ([(2,3),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,4,3,2,7,1,5,8,9] => ([(2,3),(2,8),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,3,2,1,7,8,9] => ([(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,4,8,2,5,9,1,3,6] => ([(0,1),(0,6),(0,8),(1,5),(1,7),(2,3),(2,5),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[7,4,3,2,8,9,1,5,6] => ([(0,2),(0,3),(0,8),(1,2),(1,3),(1,8),(2,7),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,5,6,3,4,1,2,9] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,5,3,8,2,6,1,4,9] => ([(1,2),(1,3),(1,7),(1,8),(2,3),(2,6),(2,8),(3,5),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,4,3,2,8,1,6,9] => ([(1,2),(1,8),(2,7),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,4,3,2,1,8,9] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,9,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,4,3,9,2,7,1,5] => ([(0,1),(0,2),(0,7),(0,8),(1,2),(1,6),(1,8),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,5,4,3,2,9,1,7] => ([(0,1),(0,8),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,1,4,5,6,7,8,9] => ([(6,8),(7,8)],9)
[2,3,4,1,5,6,7,8,9] => ([(5,8),(6,8),(7,8)],9)
[2,3,4,5,1,6,7,8,9] => ([(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,6,1,7,8,9] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,4,3,1,5,6,7,8,9] => ([(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,8,7,1,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,7,9,8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,1,5,6,7,8,9,2] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,1,6,7,8,9,2] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,6,7,1,8,9,2] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,6,7,8,1,9,2] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,1,2,5,6,7,8,9,4] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9)
[3,4,5,6,7,1,2,9,8] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,6,7,8,1,2,9] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,7,6,5,4,3,1,9,2] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,9,6,5,4,3,2,1,8] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,9,6,5,4,3,2,8,1] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,6,5,4,3,2,1,7] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,7,6,5,4,3,9,1,2] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,7,6,5,4,3,1,8,2] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,9,8,6,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,9,8,7,5,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,9,8,7,6,4,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,9,8,7,6,5,3,2,1] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,9,8,7,6,5,4,2,1] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,8,7,6,5,4,3,1] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,9,6,7,8] => ([(5,8),(6,8),(7,8)],9)
[1,2,3,4,9,5,6,7,8] => ([(4,8),(5,8),(6,8),(7,8)],9)
[1,2,3,9,4,5,6,7,8] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,2,9,3,4,5,6,7,8] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,2,3,4,5,9,7,6,8] => ([(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,9,6,5,7,8] => ([(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,9,5,4,6,7,8] => ([(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,9,4,3,5,6,7,8] => ([(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,3,2,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,1,6,5,4,9,8,7] => ([(0,7),(0,8),(1,5),(1,6),(2,3),(2,4),(3,4),(5,6),(7,8)],9)
[3,2,5,4,7,6,9,8,1] => ([(0,7),(0,8),(1,6),(1,8),(2,5),(2,8),(3,4),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[3,4,5,6,7,8,9,2,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,1,2,4,5,6,7,8,9] => ([(6,8),(7,8)],9)
[2,4,1,3,5,6,7,8,9] => ([(5,8),(6,7),(7,8)],9)
[2,3,5,1,4,6,7,8,9] => ([(4,8),(5,8),(6,7),(7,8)],9)
[2,3,4,6,1,5,7,8,9] => ([(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,3,4,5,7,1,6,8,9] => ([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,3,4,5,6,8,1,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[7,6,5,4,3,2,9,1,8] => ([(0,1),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,3,9,2,8,1,7] => ([(0,1),(0,2),(1,2),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,3,2,8,1,7,9] => ([(1,2),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,9,3,8,2,7,1,6] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,8,2,7,1,6,9] => ([(1,2),(1,6),(2,6),(2,8),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,2,7,9,1,6,8] => ([(0,3),(1,2),(1,8),(2,3),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,2,7,1,6,8,9] => ([(2,3),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,8,3,7,2,6,1,5,9] => ([(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,7,2,6,9,1,5,8] => ([(0,5),(1,4),(1,5),(1,7),(2,3),(2,6),(2,8),(3,6),(3,8),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,7,2,6,1,5,8,9] => ([(2,5),(2,7),(3,4),(3,6),(3,8),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,2,6,8,1,5,7,9] => ([(1,7),(2,3),(2,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[4,3,2,6,1,5,7,8,9] => ([(3,4),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,6,9,2,5,8,1,4,7] => ([(0,6),(0,8),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,6,2,5,8,1,4,7,9] => ([(1,6),(2,5),(2,8),(3,4),(3,6),(3,7),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[3,6,2,5,1,4,7,8,9] => ([(3,6),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,5,7,9,1,4,6,8] => ([(0,7),(1,2),(1,8),(2,8),(3,6),(3,8),(4,5),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
[3,2,5,7,1,4,6,8,9] => ([(2,7),(3,4),(3,8),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[3,2,5,1,4,6,7,8,9] => ([(4,7),(5,6),(5,8),(6,8),(7,8)],9)
[2,4,6,8,1,3,5,7,9] => ([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[2,4,6,1,3,5,7,8,9] => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[8,6,5,4,3,2,1,9,7] => ([(0,1),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,4,3,2,1,9,8] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,6,5,4,3,2,1,8,7] => ([(0,1),(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,8,7,6,5,4,1,3] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,5,6,7,8,1,3,9] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,4,5,6,7,8,2,9,3] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,7,8,5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,7,8,5,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,5,8,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,9,5,8,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,5,7,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,6,7,3,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,6,7,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,6,7,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,7,8,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,7,5,3,8,6,1,4,2] => ([(0,2),(0,3),(0,5),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,9,8,3,6,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,5),(4,6),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,8,5,7,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,7),(1,8),(2,3),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,9,6,8,3,5,1,4,2] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,8),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,5,7,4,6,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,6,7,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,5,4,3,2,1,9,8,7] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,3,2,1,8,7,9] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,2,1,9,8,7,6] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,2,1,8,7,6,9] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,2,1,7,6,9,8] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,2,1,7,6,8,9] => ([(2,3),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,2,1,8,7,6,5,9] => ([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(7,8)],9)
[4,3,2,1,7,6,5,9,8] => ([(0,1),(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,2,1,7,6,5,8,9] => ([(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,2,1,6,5,8,7,9] => ([(1,4),(2,3),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,2,1,6,5,7,8,9] => ([(3,4),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,1,6,5,4,8,7,9] => ([(1,2),(3,7),(3,8),(4,5),(4,6),(5,6),(7,8)],9)
[3,2,1,6,5,4,7,8,9] => ([(3,7),(3,8),(4,5),(4,6),(5,6),(7,8)],9)
[3,2,1,5,4,7,6,9,8] => ([(0,5),(1,4),(2,3),(6,7),(6,8),(7,8)],9)
[3,2,1,5,4,7,6,8,9] => ([(2,5),(3,4),(6,7),(6,8),(7,8)],9)
[3,2,1,5,4,6,7,8,9] => ([(4,5),(6,7),(6,8),(7,8)],9)
[2,1,4,3,6,5,7,8,9] => ([(3,8),(4,7),(5,6)],9)
[2,1,4,3,5,6,7,8,9] => ([(5,8),(6,7)],9)
[3,1,4,2,6,5,8,7,9] => ([(1,4),(2,3),(5,8),(6,7),(7,8)],9)
[3,1,5,2,6,4,8,7,9] => ([(1,2),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[3,1,5,2,4,7,6,9,8] => ([(0,3),(1,2),(4,7),(5,6),(6,8),(7,8)],9)
[3,1,2,5,4,7,6,9,8] => ([(0,5),(1,4),(2,3),(6,8),(7,8)],9)
[4,1,5,2,6,3,8,7,9] => ([(1,2),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[3,1,6,2,7,4,8,5,9] => ([(1,8),(2,6),(3,4),(3,8),(4,7),(5,6),(5,7),(7,8)],9)
[1,3,5,2,4,7,6,9,8] => ([(1,4),(2,3),(5,8),(6,7),(7,8)],9)
[4,5,6,7,8,9,1,2,3] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[4,5,6,7,8,9,2,3,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[5,6,7,8,9,1,2,3,4] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[6,7,8,9,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,9,6,7,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,6,5,4,3,2,1,7] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,6,5,4,3,2,1,8] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,4,7,3,6,1,2,5] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,4,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,9,4,8,3,7,1,2,6] => ([(0,3),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,5,8,2,4,7,1,3,6] => ([(0,5),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,5,8,4,7,1,2,3,6] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,3,5,7,1,2,4,6] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,5,7,1,2,3,4,6] => ([(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,9,3,5,8,1,2,4,7] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[6,9,5,8,1,2,3,4,7] => ([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(6,8),(7,8)],9)
[9,2,4,6,8,1,3,5,7] => ([(0,7),(0,8),(1,6),(1,8),(2,5),(2,6),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,6,8,1,2,3,5,7] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,6,8,1,2,3,4,5,7] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,5,7,9,1,2,4,6,8] => ([(0,8),(1,6),(1,7),(2,5),(2,8),(3,4),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[5,7,9,1,2,3,4,6,8] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[7,9,1,2,3,4,5,6,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,6,5,4,3,2,9,8,1] => ([(0,1),(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,6,5,4,3,2,8,1,7] => ([(0,1),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,5,4,3,2,1,8,6] => ([(0,1),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,4,3,9,2,8,1] => ([(0,1),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,5,4,3,2,9,7,1] => ([(0,1),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,8,4,3,2,1,9] => ([(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,4,9,3,2,1,8] => ([(0,1),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,4,3,8,2,1,9] => ([(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,4,3,2,8,1,9] => ([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,9,8,5,4,3,2,1,7] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,8,9,4,3,2,1,6] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,4,8,9,3,2,1,5] => ([(0,2),(0,6),(0,7),(0,8),(1,2),(1,6),(1,7),(1,8),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,3,9,8,2,1,4] => ([(0,1),(0,3),(0,7),(0,8),(1,3),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,4,2,8,9,1,3] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[7,6,5,4,3,1,8,9,2] => ([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,8,7,4,3,2,1,9] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,4,8,6,3,2,1,9] => ([(1,4),(1,6),(1,7),(1,8),(2,3),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,9,8,7,4,3,2,1,6] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,4,3,9,5,2,1,8] => ([(0,1),(1,4),(1,7),(1,8),(2,3),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,4,8,9,6,3,2,1,5] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,3,2,8,4,1,9] => ([(1,4),(1,8),(2,3),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,3,8,9,5,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,4,2,1,8,3,9] => ([(1,4),(2,3),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,2,9,8,4,1,3] => ([(0,3),(0,4),(0,5),(0,8),(1,2),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[7,6,5,4,1,8,9,3,2] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,8,9,7,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,9,7,6,5,4,3,2] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,1,7,6,5,4,3,2] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,1,2,3,4,5,9,6,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,1,2,3,4,9,5,6,7] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,1,2,9,3,4,5,6,7] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,1,9,2,3,4,5,6,7] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,1,2,3,8,9,5,6,7] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[2,1,8,9,3,4,5,6,7] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,8,7,6,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,6,7,5,4,3,2,1,8] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,2,1,7,6,5,4,3,9] => ([(1,2),(1,8),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,8,7,6,5,4,1,9] => ([(1,2),(1,8),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,1,7,6,5,4,9,2] => ([(0,8),(1,2),(1,7),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,2,9,1,6,5,4,3,7] => ([(0,7),(0,8),(1,2),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[4,2,8,7,6,5,9,1,3] => ([(0,7),(0,8),(1,2),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,9,2,7,6,5,4,1,8] => ([(0,8),(1,2),(1,7),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,4,1,7,6,5,9,3,2] => ([(0,6),(0,7),(1,2),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,2,1,6,5,4,7,9] => ([(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[8,2,9,7,1,5,4,3,6] => ([(0,2),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[5,2,8,7,6,9,4,1,3] => ([(0,2),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[4,3,2,7,6,5,8,1,9] => ([(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[3,9,8,2,6,5,4,1,7] => ([(0,6),(0,7),(1,2),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,4,2,1,3,9] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,9,8,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,9,8,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,1,9,8,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,9,8,7,6,5,4] => ([(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,2,1,9,8,7,6,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,9,8,7,6,5] => ([(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,9,8,7,6] => ([(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,5,4,7,6,9,8] => ([(3,8),(4,7),(5,6)],9)
[1,2,3,4,5,7,6,9,8] => ([(5,8),(6,7)],9)
[9,8,7,6,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,3,2,1,6,5,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,3,2,1,8,7,6,5] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,8),(2,3),(2,4),(2,8),(3,4),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,4,3,1,7,6,2,5] => ([(0,4),(0,5),(0,7),(0,8),(1,2),(1,3),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,2,1,4,3,6,5] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,4,1,6,2,3,5] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,1,9,8,7,2,6] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,8),(3,4),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,5,2,1,8,4,3,7,6] => ([(0,1),(0,7),(0,8),(1,7),(1,8),(2,3),(2,6),(2,8),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,8,3,1,5,2,7,4,6] => ([(0,6),(0,7),(0,8),(1,5),(1,7),(1,8),(2,3),(2,4),(2,7),(2,8),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,3,1,9,5,2,8,4,7] => ([(0,3),(0,8),(1,2),(1,7),(2,5),(2,7),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[6,5,1,9,8,2,3,4,7] => ([(0,7),(0,8),(1,5),(1,6),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(7,8)],9)
[9,2,1,4,3,6,5,8,7] => ([(0,7),(0,8),(1,6),(1,8),(2,5),(2,8),(3,4),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,6,1,8,2,3,4,5,7] => ([(0,7),(0,8),(1,6),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[5,1,7,2,9,3,4,6,8] => ([(0,8),(1,7),(2,6),(2,7),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[7,1,9,2,3,4,5,6,8] => ([(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,1,8,7,6,5,4,3,2] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,1,9,8,6,5,4,3,2] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,1,9,8,7,5,4,3,2] => ([(0,1),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,1,9,8,7,6,4,3,2] => ([(0,1),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,1,9,8,7,6,5,3,2] => ([(0,1),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,1,9,8,7,6,5,4,2] => ([(0,1),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,1,7,6,5,4,3,2] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,9,1,6,5,4,3,2] => ([(0,1),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,9,8,1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,9,8,7,1,4,3,2] => ([(0,1),(0,2),(0,6),(0,7),(0,8),(1,2),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,9,8,7,6,1,3,2] => ([(0,1),(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[4,3,9,8,7,6,5,1,2] => ([(0,1),(0,7),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,2,9,8,7,6,5,4,1] => ([(0,1),(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,3,4,5,6,8,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,3,4,5,7,8,6] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,9,7,8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,9,6,8,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,9,8,5,7,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,9,8,7,4,6,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,9,8,7,6,3,5,2,1] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,9,8,7,6,5,2,4,1] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,4,5,6,7,9,2,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,3,4,5,6,7,1,9,8] => ([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,1,4,5,6,7,8,9,3] => ([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[3,1,4,5,6,7,8,2,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,2,3,4,5,7,9,6,8] => ([(5,8),(6,7),(7,8)],9)
[1,2,3,4,6,9,5,7,8] => ([(4,8),(5,8),(6,7),(7,8)],9)
[1,2,3,5,9,4,6,7,8] => ([(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,2,4,9,3,5,6,7,8] => ([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,3,9,2,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,6,7,8,9,2,3,4,5] => ([(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[6,7,8,1,2,3,4,5,9] => ([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,7,8,9,2,3,4,5,6] => ([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[5,6,7,1,8,2,3,4,9] => ([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[4,6,7,8,1,2,3,5,9] => ([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,6,7,8,2,9,3,4,5] => ([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,5,7,8,9,2,3,4,6] => ([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,2,3,4,5,6,7,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,2,3,4,5,6,7,1,9] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,2,3,4,5,6,1,8,9] => ([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,2,3,4,5,1,7,8,9] => ([(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,2,3,4,1,6,7,8,9] => ([(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,3,1,5,6,7,8,9] => ([(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,4,3,5,6,7,8,9] => ([(7,8)],9)
[1,2,4,6,8,9,7,5,3] => ([(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,4,5,3,6,7,8,9] => ([(6,8),(7,8)],9)
[2,4,1,3,6,8,5,7,9] => ([(1,8),(2,6),(3,5),(4,7),(5,6),(7,8)],9)
[8,2,1,3,4,5,6,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,4,5,6,7,8,1,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,1,2,4,5,6,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,2,3,1,4,5,6,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,3,5,6,7,8,1,9] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,3,4,5,6,7,8,2] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,4,5,6,7,3,2] => ([(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,7,2,3,4,5,6,9,8] => ([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[6,9,1,2,3,4,5,7,8] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,4,5,6,7,9,8,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[7,3,4,5,6,8,1,2,9] => ([(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,4,5,7,6,8,1,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,8,4,5,6,7,9,2,3] => ([(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,4,5,6,8,7,9,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,9,7,8,6] => ([(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,9,6,7,8,5] => ([(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,9,5,6,7,8,4] => ([(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,9,4,5,6,7,8,3] => ([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,9,7,6,8,5] => ([(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,9,6,5,7,8,4] => ([(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,9,5,4,6,7,8,3] => ([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,4,3,5,6,7,8,2] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,2,4,5,6,7,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,5,6,7,8,9,4,2,1] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,5,7,4,6,9,8] => ([(3,4),(5,8),(6,7),(7,8)],9)
[1,2,3,6,4,7,5,9,8] => ([(3,4),(5,8),(6,7),(7,8)],9)
[1,2,3,4,6,8,5,7,9] => ([(5,8),(6,7),(7,8)],9)
[1,2,3,4,7,5,8,6,9] => ([(5,8),(6,7),(7,8)],9)
[1,2,5,7,3,4,6,9,8] => ([(2,3),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,2,4,5,7,3,6,9,8] => ([(2,3),(4,8),(5,8),(6,7),(7,8)],9)
[1,2,6,3,4,7,5,9,8] => ([(2,3),(4,8),(5,8),(6,7),(7,8)],9)
[1,2,5,6,3,7,4,9,8] => ([(2,3),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,1,9,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9)
[4,9,1,2,3,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,9,1,2,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[6,8,1,9,2,3,4,5,7] => ([(0,7),(0,8),(1,6),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[4,8,1,2,3,9,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,8),(4,6),(4,8),(5,6),(5,8)],9)
[3,8,1,2,4,5,9,6,7] => ([(0,8),(1,8),(2,6),(2,7),(3,4),(3,5),(4,8),(5,8),(6,8),(7,8)],9)
[1,8,2,3,4,5,6,7,9] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,9,8,6,7,5,4,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,5,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,4,6,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,9,8,6,5,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,9,8,5,7,6,4,3] => ([(0,1),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,8,7,6,5,4,3,2,9] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,8,7,6,5,4,3,9] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,6,7,8,1,2,9,3] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[4,5,6,7,1,2,8,9,3] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[4,5,6,1,2,7,8,9,3] => ([(0,8),(1,8),(2,8),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[4,5,1,2,6,7,8,9,3] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[7,8,1,2,3,4,5,9,6] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,8,9,1,3,4,5,6,7] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,1,8,2,9,3,4,5,6] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[6,1,7,2,8,3,9,4,5] => ([(0,8),(1,6),(1,7),(2,5),(2,8),(3,4),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[5,1,6,2,7,3,8,4,9] => ([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[7,1,8,2,3,9,4,5,6] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[6,1,7,2,8,3,4,9,5] => ([(0,7),(1,8),(2,6),(2,8),(3,4),(3,5),(3,7),(4,6),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[5,1,6,2,7,3,9,4,8] => ([(0,8),(1,4),(2,6),(2,8),(3,5),(3,7),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
[4,1,5,2,7,3,8,6,9] => ([(1,8),(2,6),(3,4),(3,8),(4,7),(5,6),(5,7),(7,8)],9)
[2,1,3,4,5,6,8,9,7] => ([(4,8),(5,8),(6,7)],9)
[2,1,3,4,5,6,7,9,8] => ([(5,8),(6,7)],9)
[2,3,1,4,5,6,8,9,7] => ([(3,8),(4,8),(5,7),(6,7)],9)
[1,3,2,4,5,6,8,9,7] => ([(4,8),(5,8),(6,7)],9)
[2,3,1,4,5,6,7,9,8] => ([(4,8),(5,8),(6,7)],9)
[1,3,2,4,5,6,7,9,8] => ([(5,8),(6,7)],9)
[6,7,1,2,3,4,8,9,5] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,8,6,5,4,3,2,9,1] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,6,5,4,3,1,2,8] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,3,5,6,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,6,7,8,9,2,1,3] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[5,6,7,8,9,2,1,3,4] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(7,8)],9)
[6,7,8,9,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[7,8,9,2,1,3,4,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[8,9,2,1,3,4,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,6,4,3,2,1,9,7,5] => ([(0,1),(0,2),(1,2),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,4,3,2,1,8,6,9] => ([(1,2),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,4,2,1,9,7,5,3] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,3,2,1,8,6,4,9] => ([(1,2),(1,6),(2,6),(2,8),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,4,3,2,1,8,5,9,6] => ([(0,3),(1,2),(1,8),(2,3),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,4,3,2,1,7,5,8,9] => ([(2,3),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,3,1,8,6,4,2,9] => ([(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,4,2,1,8,5,3,9,6] => ([(0,5),(1,4),(1,5),(1,7),(2,3),(2,6),(2,8),(3,6),(3,8),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[6,4,2,1,7,5,3,8,9] => ([(2,5),(2,7),(3,4),(3,6),(3,8),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,3,2,1,7,4,8,5,9] => ([(1,7),(2,3),(2,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[5,3,2,1,6,4,7,8,9] => ([(3,4),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,4,1,8,5,2,9,6,3] => ([(0,6),(0,8),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,3,1,7,4,2,8,5,9] => ([(1,6),(2,5),(2,8),(3,4),(3,6),(3,7),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[5,3,1,6,4,2,7,8,9] => ([(3,6),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,2,1,7,3,8,4,9,5] => ([(0,7),(1,2),(1,8),(2,8),(3,6),(3,8),(4,5),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
[5,2,1,6,3,7,4,8,9] => ([(2,7),(3,4),(3,8),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[4,2,1,5,3,6,7,8,9] => ([(4,7),(5,6),(5,8),(6,8),(7,8)],9)
[4,1,5,2,6,3,7,8,9] => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[3,1,4,2,5,6,7,8,9] => ([(5,8),(6,7),(7,8)],9)
[1,7,2,3,4,5,6,8,9] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,2,3,4,5,6,8,7,9] => ([(7,8)],9)
[1,2,3,4,5,7,6,8,9] => ([(7,8)],9)
[9,2,3,4,5,6,7,1,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,2,3,4,5,6,9,1,7] => ([(0,1),(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,2,3,9,5,6,7,1,4] => ([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[8,2,9,4,5,6,7,1,3] => ([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[8,9,3,4,5,6,7,1,2] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,2,3,1,9,8,7,6,5] => ([(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,1,9,8,6,7,5,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,2,4,5,6,7,8,9] => ([(7,8)],9)
[1,4,2,3,5,6,7,8,9] => ([(6,8),(7,8)],9)
[8,2,3,4,5,6,7,9,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,2,3,4,5,6,9,8,1] => ([(0,1),(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,2,3,4,5,9,7,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[5,2,3,4,9,6,7,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,8),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[4,2,3,9,5,6,7,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[3,2,9,4,5,6,7,8,1] => ([(0,1),(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,3,4,5,6,7,8,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,2,3,4,5,1,8,9,7] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(7,8)],9)
[5,2,3,4,1,7,9,8,6] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(5,6),(7,8)],9)
[4,2,3,1,6,9,7,8,5] => ([(0,8),(1,5),(1,8),(2,5),(2,8),(3,6),(3,7),(4,6),(4,7),(5,8),(6,7)],9)
[3,2,1,5,9,6,7,8,4] => ([(0,8),(1,2),(1,3),(2,3),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,4,9,5,6,7,8,3] => ([(0,8),(1,2),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,9,4,5,6,7,8,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,5,6,4,7,8,1,9] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,4,6,7,5,8,9,2] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,6,5,7,4,8,1,9] => ([(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,5,6,7,1,8,4,9] => ([(1,8),(2,8),(3,7),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,4,7,6,8,5,9,2] => ([(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,4,6,7,8,2,9,5] => ([(1,8),(2,8),(3,7),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,4,5,6,1,8,7,9] => ([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,1,7,6,8,9] => ([(2,3),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,1,6,5,7,8,9] => ([(3,4),(5,8),(6,8),(7,8)],9)
[2,3,1,5,4,6,7,8,9] => ([(4,8),(5,8),(6,7)],9)
[1,8,6,4,2,9,7,5,3] => ([(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,4,2,1,7,5,3,9] => ([(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,5,3,1,6,4,2,9] => ([(1,4),(1,6),(1,7),(1,8),(2,3),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,7,5,3,2,8,6,4] => ([(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,6,4,2,7,5,3] => ([(1,4),(1,6),(1,7),(1,8),(2,3),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,5,4,3,2,1,7,9] => ([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,3,2,5,6,7,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,2,3,4,5,7,6,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,2,3,4,5,6,8,7] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,2,3,4,7,6,5,9] => ([(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,2,3,4,6,5,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,2,3,4,5,8,7,6] => ([(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,2,3,4,5,7,6,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,4,5,6,7,8,2,9] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,1,4,5,6,7,9,3,8] => ([(0,1),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,1,4,5,6,7,8,3,9] => ([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,3,9,8,7,6,5,4,2] => ([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,4,2,5,6,7,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,7,9,8,6] => ([(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,6,7,9,8,5] => ([(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,6,8,9,7,5] => ([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,6,9,8,7,5] => ([(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,5,6,7,9,8,4] => ([(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,5,6,8,9,7,4] => ([(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,5,6,9,8,7,4] => ([(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,5,7,9,8,6,4] => ([(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,5,9,8,7,6,4] => ([(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,4,5,7,8,9,6,3] => ([(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,4,5,7,9,8,6,3] => ([(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,4,5,9,8,7,6,3] => ([(2,8),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,4,6,9,8,7,5,3] => ([(2,8),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,4,9,8,7,6,5,3] => ([(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,5,7,9,8,6,4,2] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,5,9,8,7,6,4,2] => ([(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,1,2,3,7,8,9,4] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,1,6,2,5,8,7,9] => ([(1,7),(2,3),(4,5),(4,6),(5,8),(6,8),(7,8)],9)
[3,4,1,2,6,5,8,7,9] => ([(1,4),(2,3),(5,7),(5,8),(6,7),(6,8)],9)
[3,5,1,6,2,4,8,7,9] => ([(1,2),(3,6),(3,8),(4,5),(4,8),(5,7),(6,7),(7,8)],9)
[2,5,1,6,3,4,8,7,9] => ([(1,7),(2,3),(4,5),(4,6),(5,8),(6,8),(7,8)],9)
[3,5,1,2,6,4,8,7,9] => ([(1,7),(2,3),(4,5),(4,6),(5,8),(6,8),(7,8)],9)
[2,5,1,3,6,4,8,7,9] => ([(1,2),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[8,6,4,2,1,3,5,7,9] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,2,1,4,3,5,7,9] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,4,2,1,6,3,5,7,9] => ([(1,8),(2,6),(2,8),(3,4),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,4,2,1,8,3,5,7,9] => ([(1,6),(2,6),(2,8),(3,4),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[8,6,4,2,9,1,3,5,7] => ([(0,4),(0,8),(1,4),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,6),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,6,4,2,7,1,3,5,8] => ([(0,8),(1,4),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,4,2,5,1,3,6,8] => ([(0,8),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,5,2,3,1,4,6,8] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,5,3,1,2,4,6,8] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,2,1,4,3,6,5,7,9] => ([(1,8),(2,7),(2,8),(3,6),(3,8),(4,5),(4,8),(5,8),(6,8),(7,8)],9)
[4,2,1,6,3,5,8,7,9] => ([(1,4),(2,3),(4,7),(5,6),(5,8),(6,8),(7,8)],9)
[6,4,2,1,8,3,5,9,7] => ([(0,2),(1,6),(1,8),(2,6),(3,4),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[6,4,2,7,1,3,5,8,9] => ([(2,5),(2,8),(3,5),(3,6),(3,8),(4,6),(4,7),(4,8),(5,7),(6,7),(6,8),(7,8)],9)
[8,9,4,2,5,1,3,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,6,7,2,3,1,4,5,8] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,7,4,5,1,2,3,6,8] => ([(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,9,3,4,5,6,8,7] => ([(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,8,4,5,9,6,7] => ([(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,2,3,4,9,5,6,8,7] => ([(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,9,6,8,7] => ([(5,8),(6,7),(6,8),(7,8)],9)
[7,1,2,3,4,8,5,9,6] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
[6,9,1,2,3,4,8,5,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,8),(5,6),(5,8),(6,7),(6,8)],9)
[5,1,9,2,3,4,8,6,7] => ([(0,7),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,8)],9)
[4,1,2,3,5,8,6,9,7] => ([(1,8),(2,8),(3,8),(4,7),(5,6),(6,7)],9)
[3,1,2,4,9,5,8,6,7] => ([(1,8),(2,4),(3,4),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,3,4,5,9,6,8,7] => ([(3,8),(4,5),(6,7),(6,8),(7,8)],9)
[1,7,2,3,4,5,9,8,6] => ([(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,7),(7,8)],9)
[1,6,2,3,4,5,9,8,7] => ([(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,7)],9)
[6,1,2,3,7,4,8,9,5] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
[1,2,3,8,5,4,6,9,7] => ([(3,7),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[5,9,1,2,6,3,4,8,7] => ([(0,1),(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8)],9)
[1,4,2,3,5,6,9,8,7] => ([(3,8),(4,8),(5,6),(5,7),(6,7)],9)
[4,1,9,5,2,3,6,8,7] => ([(0,7),(1,8),(2,3),(2,8),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,2,4,5,6,9,8,7] => ([(4,5),(6,7),(6,8),(7,8)],9)
[3,4,1,2,5,6,8,9,7] => ([(2,8),(3,8),(4,6),(4,7),(5,6),(5,7)],9)
[2,3,1,4,9,5,6,8,7] => ([(1,8),(2,8),(3,5),(4,5),(6,7),(6,8),(7,8)],9)
[8,1,2,3,4,6,9,5,7] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[8,1,2,4,6,9,3,5,7] => ([(0,8),(1,8),(2,6),(2,8),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(7,8)],9)
[6,1,2,3,4,5,9,8,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,7)],9)
[5,1,2,3,4,8,6,9,7] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7)],9)
[4,1,2,3,9,6,8,5,7] => ([(0,5),(1,5),(2,5),(3,7),(3,8),(4,6),(4,8),(6,7),(6,8),(7,8)],9)
[3,1,2,8,4,6,9,5,7] => ([(0,6),(1,6),(2,8),(3,4),(3,8),(4,7),(5,7),(5,8),(7,8)],9)
[2,1,9,4,6,8,3,5,7] => ([(0,1),(2,7),(2,8),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,8,2,4,6,9,3,5,7] => ([(1,8),(2,6),(2,8),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(7,8)],9)
[4,3,5,6,7,8,9,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[6,7,8,5,4,3,2,1,9] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,7,8,4,3,2,1,9] => ([(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,7,8,3,2,1,9] => ([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,3,7,8,2,1,9] => ([(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,3,2,7,8,1,9] => ([(1,8),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,5,4,3,2,1,6] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,7,8,9,4,3,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,7,8,9,3,2,1,4] => ([(0,3),(0,6),(0,7),(0,8),(1,3),(1,6),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,7,8,9,2,1,3] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[6,5,4,3,7,8,9,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[6,5,4,3,2,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,3,2,1,4,9] => ([(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,4,3,2,1,5,9] => ([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,5,4,3,2,1,6,9] => ([(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,4,1,2,3,9] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,2,3,1,4,9] => ([(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,3,4,2,1,5,9] => ([(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,4,5,3,2,1,6,9] => ([(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,5,6,4,3,2,1,7,9] => ([(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,7,5,4,3,2,1,8,9] => ([(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,8,7,9,5,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,8,7,6,9,4,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,8,7,6,5,9,3,2,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,8,7,6,5,4,9,2,1] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,8,7,6,5,4,3,9,1] => ([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,3,4,5,6,7,8,2] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,8,3,4,5,6,9,2,7] => ([(1,2),(1,8),(2,7),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,2,3,4,5,1,9,7,6] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(5,6),(5,8),(6,8),(7,8)],9)
[8,1,9,4,5,6,7,3,2] => ([(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[7,9,3,4,5,6,1,8,2] => ([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[1,2,8,4,5,6,9,3,7] => ([(2,3),(2,8),(3,7),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,3,4,5,2,9,1,6] => ([(0,1),(0,8),(1,6),(1,7),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,2,3,4,1,6,9,7,5] => ([(0,7),(0,8),(1,6),(1,8),(2,6),(2,8),(3,6),(3,8),(4,5),(4,7),(5,7),(5,8),(6,8),(7,8)],9)
[8,1,3,9,5,6,7,4,2] => ([(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[7,8,9,4,5,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,9,3,4,5,1,7,8,2] => ([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[4,1,5,6,7,8,9,2,3] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,4,5,8,9,1,6,7] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[2,3,6,7,1,8,9,4,5] => ([(0,8),(1,8),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,8,7,6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,9,8,7,6,5,4,1] => ([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,3,2,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[3,5,2,4,7,6,9,8,1] => ([(0,3),(0,8),(1,2),(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,3,6,5,8,7,1,9] => ([(1,8),(2,7),(2,8),(3,6),(3,8),(4,5),(4,8),(5,8),(6,8),(7,8)],9)
[3,5,1,2,4,7,6,9,8] => ([(0,3),(1,2),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,6,7,8,2,9,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,4,5,3,2,9,1] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,8,7,5,6,4,3,1] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,9,7,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,4,7,3,8,2,9,1] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,4,7,3,9,2,8,1] => ([(0,2),(0,8),(1,6),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,6,3,7,2,8,1,9] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,8,3,4,5,6,7,9,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,2,3,4,5,6,1,9,8] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,9,4,5,6,7,8,3] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,8,3,4,5,6,7,1,9] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,1,2,3,4,5,7,8,9] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[5,1,2,3,4,6,7,8,9] => ([(4,8),(5,8),(6,8),(7,8)],9)
[4,1,2,3,5,6,7,8,9] => ([(5,8),(6,8),(7,8)],9)
[9,8,2,3,4,5,6,7,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,2,3,4,5,6,7,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,8,7,6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,7,8,9,1,4,3,2] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(6,7),(6,8),(7,8)],9)
[1,8,9,3,4,5,6,7,2] => ([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,4,5,6,1,8,9,2,7] => ([(0,1),(0,2),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,6,8,1,9,2,7] => ([(0,5),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(6,7),(6,8)],9)
[3,4,5,6,8,9,1,2,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[2,4,5,1,6,7,8,9,3] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,4,1,6,7,8,9,5] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9)
[3,4,5,6,1,2,9,7,8] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[3,4,5,6,8,1,2,7,9] => ([(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,1,6,7,8,2,9] => ([(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[5,6,1,7,8,9,2,3,4] => ([(0,4),(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,3,5,2,6,7,8,9,4] => ([(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[2,1,4,3,6,7,8,9,5] => ([(0,3),(1,2),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,1,5,6,7,8,9,4] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9)
[9,7,8,5,4,3,2,1,6] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[1,2,3,4,6,5,7,8,9] => ([(7,8)],9)
[1,2,3,5,4,6,7,8,9] => ([(7,8)],9)
[1,8,2,3,4,5,9,6,7] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,4,5,6,8,9,2,7] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,5,2,3,6,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[4,3,2,5,6,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,7,2,3,4,8,9,1] => ([(0,8),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[5,3,6,2,4,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,2,6,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,3,7,8,2,4,5,9,1] => ([(0,8),(1,6),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[6,7,4,5,2,3,8,9,1] => ([(0,8),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,4,3,7,2,5,8,9,1] => ([(0,8),(1,8),(2,3),(2,7),(2,8),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,4,5,9,2,3,6,1] => ([(0,1),(0,6),(0,7),(0,8),(1,4),(1,5),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[7,4,3,8,9,2,5,6,1] => ([(0,2),(0,3),(0,7),(0,8),(1,2),(1,3),(1,7),(1,8),(2,6),(2,8),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,8,3,6,2,4,9,1] => ([(0,8),(1,2),(1,4),(1,5),(1,7),(1,8),(2,3),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,4,3,8,2,6,9,1] => ([(0,8),(1,2),(1,7),(1,8),(2,6),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,4,3,2,8,9,1] => ([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,4,9,3,7,2,5,1] => ([(0,1),(0,2),(0,6),(0,7),(0,8),(1,2),(1,5),(1,7),(1,8),(2,4),(2,6),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,5,4,3,9,2,7,1] => ([(0,1),(0,7),(0,8),(1,6),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,1,5,3,6,7,8,9] => ([(4,8),(5,7),(6,7),(6,8)],9)
[4,5,6,7,8,3,9,1,2] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,2,3,4,5,1,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[5,6,7,4,8,9,1,2,3] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[7,8,9,2,3,1,4,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[6,5,7,8,9,1,2,3,4] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[7,1,2,3,4,5,8,6,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[6,1,2,3,4,7,5,8,9] => ([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[5,1,2,3,6,4,7,8,9] => ([(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[4,1,2,5,3,6,7,8,9] => ([(4,8),(5,8),(6,7),(7,8)],9)
[9,1,2,3,8,5,6,7,4] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,8,9,6,7] => ([(5,7),(5,8),(6,7),(6,8)],9)
[1,2,3,4,7,9,5,8,6] => ([(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[1,2,3,6,9,4,7,8,5] => ([(3,4),(3,8),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,5,9,3,6,7,8,4] => ([(2,3),(2,8),(3,7),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,4,9,2,5,6,7,8,3] => ([(1,2),(1,8),(2,7),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,9,1,4,5,6,7,8,2] => ([(0,1),(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,8,1,9,3,4,5,6,7] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,4,2,3,6,5,8,7,9] => ([(2,5),(3,4),(6,8),(7,8)],9)
[1,3,4,2,6,5,8,7,9] => ([(2,5),(3,4),(6,8),(7,8)],9)
[2,3,1,4,6,5,8,7,9] => ([(2,5),(3,4),(6,8),(7,8)],9)
[4,6,1,2,3,5,8,7,9] => ([(1,2),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,1,6,2,8,7,9] => ([(1,2),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,1,2,4,6,5,8,7,9] => ([(2,5),(3,4),(6,8),(7,8)],9)
[2,1,3,4,5,6,9,7,8] => ([(4,8),(5,8),(6,7)],9)
[1,2,3,4,5,7,8,6,9] => ([(6,8),(7,8)],9)
[7,1,9,3,4,5,6,2,8] => ([(0,8),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[7,2,1,9,4,5,6,3,8] => ([(0,7),(1,2),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[6,9,7,3,4,5,1,2,8] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,8,1,2,9,5,6,7,4] => ([(0,1),(0,2),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[8,7,9,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[7,2,3,1,9,5,6,4,8] => ([(0,7),(1,5),(1,8),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(6,7),(6,8)],9)
[6,1,2,7,4,5,9,3,8] => ([(0,7),(1,7),(2,3),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[5,9,6,3,4,1,7,2,8] => ([(0,8),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,8,1,4,2,9,6,7,5] => ([(0,6),(0,8),(1,2),(1,6),(2,8),(3,4),(3,5),(3,7),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[9,7,2,3,8,5,6,1,4] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,8,9,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(7,8)],9)
[5,4,6,7,8,9,1,2,3] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,4,3,2,5,6,7,8,9] => ([(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,9,8,7,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,8,7,9,6,1] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,6,5,7,8,9,4,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,5,6,7,1,2,8,9] => ([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,5,1,4,7,6,9,8] => ([(0,3),(1,2),(4,8),(5,8),(6,7),(7,8)],9)
[3,4,1,5,2,7,6,9,8] => ([(0,3),(1,2),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,1,2,5,3,7,6,9,8] => ([(0,3),(1,2),(4,8),(5,8),(6,7),(7,8)],9)
[4,2,6,8,1,3,5,7,9] => ([(1,8),(2,5),(2,8),(3,6),(3,7),(4,5),(4,6),(4,8),(5,7),(6,7),(7,8)],9)
[4,6,2,8,1,3,5,7,9] => ([(1,8),(2,7),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(5,6),(5,7),(6,7),(6,8)],9)
[4,6,8,2,1,3,5,7,9] => ([(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[4,6,8,2,9,1,3,5,7] => ([(0,6),(0,8),(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(3,4),(3,6),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(7,8)],9)
[4,6,2,7,9,1,3,5,8] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,8),(3,6),(3,8),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[4,2,5,7,9,1,3,6,8] => ([(0,7),(1,6),(1,8),(2,4),(2,7),(3,5),(3,8),(4,6),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[2,3,5,7,9,1,4,6,8] => ([(0,8),(1,8),(2,7),(3,6),(3,8),(4,5),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
[6,4,2,8,1,3,5,7,9] => ([(1,7),(2,7),(2,8),(3,5),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8)],9)
[8,4,6,2,1,3,5,7,9] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[4,6,8,9,2,1,3,5,7] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(2,3),(2,7),(2,8),(3,4),(3,5),(3,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[4,6,2,7,1,3,5,8,9] => ([(2,6),(2,8),(3,4),(3,6),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(7,8)],9)
[4,8,2,5,9,1,3,6,7] => ([(0,6),(0,8),(1,6),(1,8),(2,3),(2,7),(2,8),(3,5),(3,7),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[6,2,3,7,9,1,4,5,8] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,8),(4,6),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,4,5,7,9,2,3,6,8] => ([(1,8),(2,6),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[8,6,4,9,7,5,3,2,1] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,4,2,9,7,5,3,1] => ([(0,3),(0,5),(0,7),(0,8),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,2,7,3,8,4,9,5,1] => ([(0,7),(0,8),(1,6),(1,8),(2,5),(2,6),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,6,7,8,2,9,3,1] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[4,5,6,7,1,8,2,9,3] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[2,3,4,5,9,6,7,8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,9,5,6,7,8,1] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,9,4,5,6,7,8,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,9,7,6,8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,9,6,5,7,8,1] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,9,5,4,6,7,8,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,4,3,5,6,7,8,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,9,7,8,6,1] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,8,3,4,5,6,7,9] => ([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,9,6,2,3,4,5,8,7] => ([(1,2),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,4,5,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,5,6,7,8,9,2,3,4] => ([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,7,2,8,9,3,4,5,6] => ([(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,6,2,7,8,9,3,4,5] => ([(1,8),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[1,5,2,6,7,8,9,3,4] => ([(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,2,1,5,6,7,8,9] => ([(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,1,2,5,6,7,8,9] => ([(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,2,1,3,6,7,8,9] => ([(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,2,5,1,6,7,8,9] => ([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,3,1,2,4,6,7,8,9] => ([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,5,1,2,6,7,8,9] => ([(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[5,4,3,1,2,6,7,8,9] => ([(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,3,1,2,7,8,9] => ([(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,5,4,3,9,1,2,6,7] => ([(0,2),(0,8),(1,2),(1,8),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,3,4,5,9,7,1,8,6] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,3,4,9,6,7,1,8,5] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,3,9,5,6,1,7,8,4] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,3,9,5,1,7,4,8,6] => ([(0,7),(1,7),(2,6),(2,8),(3,4),(3,5),(3,8),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,1,3,4,5,6,8,7,9] => ([(5,8),(6,7)],9)
[2,3,4,5,6,8,7,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,5,4,3,2,7,9,1] => ([(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,5,4,3,2,1,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[7,6,5,4,3,8,9,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,6,5,4,3,2,7,1,8] => ([(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,2,3,4,5,6,1,7,8] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,1,5,6,7,8,9,2,4] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8)],9)
[2,1,3,5,6,7,8,9,4] => ([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[3,4,5,6,7,9,1,2,8] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,7,8,9,1,2,6] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,5,6,7,8,9,1,2,4] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[3,4,5,6,9,1,2,7,8] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,6,1,2,7,8,9] => ([(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[5,1,6,7,8,9,2,3,4] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,2,5,6,7,3,8,9,4] => ([(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,2,4,3,5,7,8,9,6] => ([(3,4),(5,8),(6,8),(7,8)],9)
[3,1,2,4,5,6,7,9,8] => ([(4,8),(5,8),(6,7)],9)
[9,8,7,1,5,6,4,3,2] => ([(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,7,8,6,5,4,3,2] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,4,5,6,7,2,9,8] => ([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[3,4,5,6,7,1,9,2,8] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8)],9)
[3,2,4,1,6,5,8,7,9] => ([(1,4),(2,3),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,5,1,6,3,8,7,9] => ([(1,2),(3,6),(4,6),(4,8),(5,7),(5,8),(6,7),(7,8)],9)
[4,2,6,1,7,3,8,5,9] => ([(1,8),(2,5),(2,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7)],9)
[4,2,6,1,8,3,9,5,7] => ([(0,5),(0,6),(1,2),(1,8),(2,7),(3,4),(3,5),(3,7),(4,6),(4,8),(5,6),(7,8)],9)
[4,2,6,1,7,3,5,9,8] => ([(0,1),(2,5),(2,6),(3,4),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[4,2,5,1,3,7,6,9,8] => ([(0,3),(1,2),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[3,2,5,4,6,1,8,7,9] => ([(1,8),(2,3),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[4,2,5,1,7,6,8,3,9] => ([(1,8),(2,3),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7),(6,7),(7,8)],9)
[4,2,6,1,7,3,9,8,5] => ([(0,1),(0,8),(1,8),(2,6),(2,8),(3,4),(3,5),(4,5),(4,6),(5,7),(6,7),(7,8)],9)
[4,2,6,1,7,3,5,8,9] => ([(2,5),(2,6),(3,4),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[4,2,5,1,3,8,9,6,7] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,8),(5,7),(6,7),(6,8),(7,8)],9)
[3,2,1,6,7,4,5,9,8] => ([(0,1),(2,7),(2,8),(3,4),(3,5),(4,5),(6,7),(6,8)],9)
[1,4,5,2,3,7,6,9,8] => ([(1,4),(2,3),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,4,8,6,7,9,5,1] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,8,5,6,7,9,1,4] => ([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[2,8,4,5,6,7,9,3,1] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,4,5,6,7,9,2,1] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,7,9,1,8,6] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8)],9)
[2,3,4,6,7,1,9,5,8] => ([(0,8),(1,8),(2,8),(3,4),(4,7),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,5,6,1,7,9,4,8] => ([(0,8),(1,7),(2,7),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,4,5,1,6,7,9,8,3] => ([(0,8),(1,8),(2,7),(3,4),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,1,5,6,7,9,2,8] => ([(0,8),(1,8),(2,8),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,2,4,5,6,7,9,1,8] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,7,6,9,8,5,1] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,6,9,1,7,8,5] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8)],9)
[2,5,4,6,8,7,9,1,3] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,5,7,1,6,9,4,8] => ([(0,7),(1,7),(2,3),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8)],9)
[4,3,5,8,6,7,9,2,1] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,6,1,5,7,9,3,8] => ([(0,8),(1,6),(2,3),(3,8),(4,6),(4,8),(5,7),(5,8),(6,7),(7,8)],9)
[2,4,8,5,6,7,9,1,3] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,5,1,4,6,7,9,8,2] => ([(0,8),(1,8),(2,3),(2,8),(3,8),(4,5),(4,8),(5,7),(6,7),(6,8),(7,8)],9)
[4,2,3,5,6,7,9,1,8] => ([(0,8),(1,8),(2,8),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,4,2,6,3,7,5,9,8] => ([(1,2),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[1,3,2,6,4,7,5,9,8] => ([(1,4),(2,3),(5,8),(6,7),(7,8)],9)
[2,1,6,3,7,4,8,5,9] => ([(1,2),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[6,5,4,3,2,7,1,8,9] => ([(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,2,6,1,7,8,9] => ([(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,2,5,1,6,7,8,9] => ([(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,4,1,5,6,7,8,9] => ([(5,8),(6,7),(6,8),(7,8)],9)
[1,3,5,2,7,4,6,9,8] => ([(1,2),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[1,2,4,3,6,5,8,7,9] => ([(3,8),(4,7),(5,6)],9)
[1,3,5,7,2,4,6,9,8] => ([(1,2),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,3,5,7,2,9,4,6,8] => ([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8)],9)
[5,6,2,1,3,7,4,8,9] => ([(2,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,2,5,1,6,4,7,8,9] => ([(3,7),(4,5),(4,8),(5,8),(6,7),(6,8)],9)
[6,7,2,1,8,3,4,9,5] => ([(0,6),(1,2),(1,7),(1,8),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(6,7),(6,8)],9)
[3,6,4,1,7,2,8,5,9] => ([(1,6),(2,5),(2,8),(3,6),(3,8),(4,5),(4,7),(4,8),(5,7),(6,7),(7,8)],9)
[3,6,7,2,1,4,8,5,9] => ([(1,4),(2,5),(2,6),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[4,2,6,1,7,5,3,8,9] => ([(2,5),(2,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(6,8),(7,8)],9)
[4,3,2,6,1,7,5,8,9] => ([(2,4),(3,4),(3,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,7,2,5,1,8,3,9,6] => ([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,8),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[4,3,7,8,2,1,5,9,6] => ([(0,4),(1,5),(1,6),(2,3),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,5,2,7,1,8,6,4,9] => ([(1,6),(1,8),(2,5),(2,7),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(6,8)],9)
[5,4,3,2,7,1,8,6,9] => ([(1,3),(2,3),(2,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,4,2,8,1,9,7,5,3] => ([(0,3),(0,4),(0,6),(1,5),(1,7),(1,8),(2,3),(2,5),(2,7),(2,8),(3,4),(3,6),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,6,2,8,1,9,7,5] => ([(0,5),(0,7),(1,5),(1,7),(1,8),(2,3),(2,6),(2,8),(3,6),(3,8),(4,6),(4,7),(4,8),(5,7),(6,8)],9)
[6,5,4,3,2,8,1,9,7] => ([(0,2),(1,2),(1,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,1,2,9,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9)
[4,1,2,3,9,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9)
[5,1,2,3,4,9,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9)
[6,1,2,3,4,5,9,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9)
[3,4,1,2,9,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7)],9)
[4,5,1,2,3,9,6,7,8] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[5,6,1,2,3,4,9,7,8] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[6,7,1,2,3,4,5,9,8] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,7,5,3,1,8,6,4,2] => ([(0,3),(0,5),(0,7),(0,8),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,6,3,8,5,2,7,4,1] => ([(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,5,2,9,6,3,7,4,1] => ([(0,5),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,5,1,6,2,7,3,8,4] => ([(0,7),(0,8),(1,6),(1,8),(2,5),(2,6),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,5,1,8,4,7,3,6,2] => ([(0,4),(0,8),(1,3),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,4,7,3,6,2,9,5,1] => ([(0,4),(0,8),(1,3),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,3,8,4,6,2,9,5,1] => ([(0,5),(0,8),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,7,2,5,8,3,6,1] => ([(0,3),(0,6),(0,7),(0,8),(1,2),(1,6),(1,7),(1,8),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,6,1,8,3,5,7,2] => ([(0,3),(0,5),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,5,7,2,9,4,6,1] => ([(0,3),(0,5),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,2,8,3,9,4,5,6,1] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,3,7,2,9,4,5,6,1] => ([(0,5),(0,7),(0,8),(1,2),(1,3),(1,4),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,8,3,7,2,9,4,6,1] => ([(0,3),(0,6),(0,8),(1,2),(1,4),(1,6),(1,8),(2,4),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,6,9,3,8,2,7,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,6,8,2,9,3,7,1] => ([(0,4),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,3,6,5,4,7,1,8,2] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,2,9,3,6,5,4,7,1] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,5,4,8,2,9,3,7,1] => ([(0,1),(0,7),(0,8),(1,2),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[5,6,4,8,2,9,3,7,1] => ([(0,1),(0,4),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[9,2,7,4,5,6,3,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,4,5,6,3,9,2,8,1] => ([(0,1),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,7,4,6,3,9,2,8,1] => ([(0,1),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,5,6,7,8,9,1,3] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8)],9)
[5,6,7,9,1,2,3,4,8] => ([(0,8),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[4,5,6,7,9,1,2,3,8] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,6,5,7,4,8,3,9,2] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,6,3,8,2,7,1,9] => ([(1,3),(1,8),(2,6),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,5,6,7,8,2,1,9] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,6,7,8,1,2,3,9] => ([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[4,3,1,2,6,5,8,7,9] => ([(1,4),(2,3),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,3,1,2,4,8,7,9] => ([(1,2),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,5,3,1,2,4,6,9] => ([(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,3,1,2,4,6,9,8] => ([(0,1),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,3,1,2,4,7,6,9,8] => ([(0,3),(1,2),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,1,2,6,5,3,8,7,9] => ([(1,2),(3,7),(4,7),(5,6),(5,8),(6,8),(7,8)],9)
[6,3,1,2,4,8,7,5,9] => ([(1,8),(2,3),(2,6),(3,6),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[8,5,3,1,2,4,6,9,7] => ([(0,8),(1,2),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,3,1,2,4,6,8,9] => ([(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,3,1,2,4,9,7,6,8] => ([(0,7),(1,8),(2,3),(2,7),(3,7),(4,6),(4,8),(5,6),(5,8),(6,8)],9)
[3,1,2,7,5,4,6,9,8] => ([(0,1),(2,8),(3,5),(4,5),(6,7),(6,8),(7,8)],9)
[1,5,3,2,4,7,6,9,8] => ([(1,4),(2,3),(5,8),(6,7),(6,8),(7,8)],9)
[1,7,6,5,4,3,2,9,8] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,4,5,6,7,8,9,3,2] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,8,6,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,5,6,7,8,9,1,4] => ([(0,1),(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,2,5,6,7,8,9,3,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,4,5,6,7,2,8,9] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,7,8,9,1,5,6] => ([(0,8),(1,8),(2,8),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[2,3,6,7,8,9,1,4,5] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[2,5,6,7,8,9,1,3,4] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[2,3,4,5,1,9,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9)
[2,3,4,1,8,9,5,6,7] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[2,3,1,7,8,9,4,5,6] => ([(0,2),(1,2),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[2,1,6,7,8,9,3,4,5] => ([(0,1),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[4,1,2,3,6,5,8,7,9] => ([(1,4),(2,3),(5,8),(6,8),(7,8)],9)
[4,1,6,2,3,5,8,7,9] => ([(1,2),(3,8),(4,7),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,1,9,8,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,5,6,1,7,2,9,8] => ([(0,8),(1,2),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,4,5,9,6,7,2,8,3] => ([(1,6),(1,8),(2,6),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,4,5,9,6,1,7,3,8] => ([(0,7),(1,8),(2,6),(2,7),(3,6),(3,7),(4,6),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,4,5,7,6,1,9,2,8] => ([(0,4),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,5,6,9,7,1,8,2,4] => ([(0,7),(0,8),(1,5),(1,7),(1,8),(2,5),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(6,7),(6,8)],9)
[1,4,8,5,6,2,7,9,3] => ([(1,8),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[2,5,9,6,7,3,1,4,8] => ([(0,8),(1,7),(2,5),(2,6),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(6,7),(6,8),(7,8)],9)
[4,1,5,2,7,6,3,9,8] => ([(0,7),(1,2),(3,4),(3,8),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[3,4,1,6,9,5,7,2,8] => ([(0,7),(1,2),(1,3),(2,8),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[6,7,9,8,1,3,4,2,5] => ([(0,4),(0,5),(0,7),(0,8),(1,4),(1,5),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(5,6),(6,7),(6,8),(7,8)],9)
[9,1,5,2,8,6,3,7,4] => ([(0,8),(1,5),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,7,4,5,2,6,8,9,3] => ([(1,8),(2,8),(3,7),(3,8),(4,5),(4,6),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,8,9,1,2,3,4,5,7] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[5,8,9,1,2,3,4,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[2,3,4,5,1,7,6,9,8] => ([(0,3),(1,2),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,1,6,5,8,7,9] => ([(1,4),(2,3),(5,8),(6,8),(7,8)],9)
[2,3,4,5,1,8,6,9,7] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7)],9)
[2,3,4,1,7,5,8,6,9] => ([(1,8),(2,8),(3,8),(4,7),(5,6),(6,7)],9)
[3,4,5,6,7,9,1,8,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8)],9)
[3,4,5,6,7,9,2,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,5,6,7,1,9,8,2] => ([(0,1),(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[5,3,4,2,1,9,8,7,6] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,3,4,2,1,9,8,7] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,4,5,3,2,1,9,8] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,5,1,2,6,7,8,9] => ([(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,4,1,5,3,6,8,7,9] => ([(2,3),(4,7),(5,6),(6,8),(7,8)],9)
[2,4,1,7,3,8,5,6,9] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,8),(5,8),(6,8)],9)
[8,5,9,3,6,1,2,4,7] => ([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,7),(6,8)],9)
[9,7,1,5,8,3,6,2,4] => ([(0,7),(0,8),(1,2),(1,4),(1,5),(1,7),(1,8),(2,3),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,5,4,1,3,8,2,6] => ([(0,1),(0,6),(0,8),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,6,5,4,3,2,1,7,8] => ([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,5,4,3,2,1,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,3,4,5,8,7,6] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,3,4,8,6,7,5] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,8,4,5,6,7,3] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,8,3,4,5,6,7,2] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,3,4,7,8,6,5] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,3,6,8,5,7,4] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,5,8,4,6,7,3] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,4,8,3,5,6,7,2] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,8,2,4,5,6,7,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,5,6,8,9,1,7,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8)],9)
[3,4,6,7,8,9,1,5,2] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8)],9)
[3,5,6,7,8,9,1,4,2] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8)],9)
[4,5,6,7,8,9,1,3,2] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[5,4,2,3,6,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,2,3,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,4,2,3,8,9,1] => ([(0,8),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,6,7,8,9,1,2,3,5] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[5,7,8,9,1,2,3,4,6] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[8,7,5,4,6,3,2,9,1] => ([(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,4,6,5,3,2,9,1] => ([(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,1,9,8,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,7)],9)
[2,3,4,5,1,9,8,7,6] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],9)
[8,9,7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,7,5,4,3,2,1,9] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,9,6,5,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,8,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,5,4,3,6,9,2,1] => ([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,9,5,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,9,6,5,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,1,5,6,7,8,9,4] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,7)],9)
[3,2,6,1,4,7,8,9,5] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(4,7),(5,7),(6,7),(6,8)],9)
[4,3,2,1,6,7,8,9,5] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],9)
[3,2,7,8,1,4,5,9,6] => ([(0,5),(1,2),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,7,2,5,1,3,8,9,6] => ([(0,6),(1,6),(2,3),(2,5),(2,8),(3,4),(3,7),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[4,3,2,7,1,5,8,9,6] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(3,8),(4,5),(4,8),(5,8),(6,7),(6,8)],9)
[5,4,3,2,1,7,8,9,6] => ([(0,3),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,2,8,9,1,5,6,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,8),(4,5),(4,8),(5,8),(6,8),(7,8)],9)
[8,5,6,3,4,1,2,9,7] => ([(0,1),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[5,3,8,2,6,1,4,9,7] => ([(0,1),(1,8),(2,3),(2,7),(2,8),(3,5),(3,8),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[5,4,3,2,8,1,6,9,7] => ([(0,3),(1,2),(2,3),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,3,2,1,8,9,7] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,9,4,7,2,5,1,3,8] => ([(0,8),(1,2),(1,4),(1,5),(1,6),(1,8),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,4,3,9,2,7,1,5,8] => ([(0,7),(1,2),(1,6),(1,7),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,5,4,3,2,9,1,7,8] => ([(0,2),(1,2),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,9,6,7,8,5,1] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,9,5,6,7,8,4,1] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,4,5,6,7,8,3,1] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,4,5,6,7,8,2,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,1,9,7,8,6,5] => ([(0,3),(1,3),(2,3),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,1,9,6,7,8,5,4] => ([(0,2),(1,2),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,9,5,6,7,8,4,3] => ([(0,1),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,4,5,6,7,8,3,2] => ([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,4,7,3,9,1,8,2] => ([(0,2),(0,8),(1,6),(1,7),(1,8),(2,6),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[5,6,4,9,1,8,2,7,3] => ([(0,4),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[5,9,1,8,2,7,3,6,4] => ([(0,4),(0,8),(1,4),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,6),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,8,2,7,3,6,4,5] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,9,1,8,2,7,3,6] => ([(0,3),(0,4),(0,8),(1,5),(1,7),(1,8),(2,3),(2,4),(2,7),(2,8),(3,4),(3,6),(4,6),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,6,3,9,1,8,2,7] => ([(0,2),(0,5),(1,6),(1,7),(1,8),(2,5),(2,8),(3,4),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[5,4,6,3,7,2,9,1,8] => ([(0,2),(1,7),(1,8),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,4,8,2,9,1,7,3] => ([(0,1),(0,4),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7)],9)
[5,7,3,9,1,8,2,6,4] => ([(0,1),(0,2),(0,5),(0,6),(1,2),(1,6),(1,8),(2,5),(2,7),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[6,4,9,1,8,2,7,3,5] => ([(0,4),(0,7),(0,8),(1,3),(1,5),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(3,5),(3,6),(3,8),(4,6),(4,7),(5,6),(5,8),(6,7),(6,8)],9)
[4,5,9,1,8,2,7,3,6] => ([(0,2),(0,3),(0,8),(1,5),(1,7),(1,8),(2,4),(2,6),(3,4),(3,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,4,5,3,9,1,8,2,7] => ([(0,1),(0,4),(1,4),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[5,4,7,3,6,2,9,1,8] => ([(0,1),(1,8),(2,5),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,3,4,5,6,7,1,2] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,2,3,4,5,6,1,7] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,5,6,7,8,2,1,3] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,4,5,6,7,2,1,8] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,2,9,8,3,4,5,6,1] => ([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[9,8,2,3,4,5,1,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,5,6,7,8,2,1,3,4] => ([(0,2),(0,3),(0,4),(0,5),(0,8),(1,2),(1,3),(1,4),(1,5),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,9,4,5,6,7,2,1] => ([(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,4,5,6,2,1,7,8] => ([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,6,2,7,3,8,4,9,5] => ([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[6,7,1,9,2,3,4,5,8] => ([(0,8),(1,6),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[6,1,8,9,2,3,4,5,7] => ([(0,8),(1,6),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[3,4,5,2,1,6,7,8,9] => ([(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,5,8,9,1,2,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,7,8,9,1,2,5,6] => ([(0,7),(0,8),(1,7),(1,8),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,6,7,8,9,1,2,4,5] => ([(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,6,1,7,2,8,9] => ([(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,1,6,2,7,8,9] => ([(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,1,5,9,2,6,7,8] => ([(0,8),(1,7),(2,7),(3,7),(4,6),(4,8),(5,6),(5,8),(7,8)],9)
[1,3,7,8,9,2,4,5,6] => ([(1,8),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[2,6,7,8,9,1,3,4,5] => ([(0,8),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[4,3,5,2,6,1,7,8,9] => ([(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,3,6,2,7,1,8,9] => ([(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,5,7,2,8,4,9,6] => ([(1,8),(2,7),(3,6),(3,7),(4,6),(4,8),(5,6),(5,7),(5,8)],9)
[1,3,5,6,2,7,4,9,8] => ([(1,2),(3,8),(4,7),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,4,5,2,7,6,9,8] => ([(1,4),(2,3),(5,8),(6,8),(7,8)],9)
[3,5,7,1,2,4,6,9,8] => ([(0,1),(2,8),(3,7),(3,8),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,5,7,8,1,9,2,4,6] => ([(0,7),(0,8),(1,4),(1,7),(1,8),(2,3),(2,5),(2,6),(3,4),(3,8),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,5,6,7,1,8,2,9,4] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,9,8,7,6,4,3,2,5] => ([(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,7,5,4,3,2,6] => ([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,6,5,4,3,2,7] => ([(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,7,6,5,4,3,2,8] => ([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,7,6,3,4,2,5] => ([(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,7,4,5,3,2,6] => ([(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,5,6,4,3,2,7] => ([(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,6,7,5,4,3,2,8] => ([(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,7,8,6,5,4,3,2,9] => ([(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,2,3,4,5,6,1,7] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[7,8,9,2,3,4,5,1,6] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[6,7,8,9,2,3,4,1,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[5,6,7,8,9,2,3,1,4] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(6,8),(7,8)],9)
[7,8,9,2,3,4,1,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[6,7,8,9,2,3,1,4,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[4,5,6,7,8,1,9,2,3] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[7,9,3,4,5,6,2,1,8] => ([(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[3,9,2,1,5,6,7,8,4] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(5,6),(5,8),(6,8),(7,8)],9)
[3,8,1,4,5,6,7,2,9] => ([(1,2),(1,8),(2,7),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,9,3,4,5,2,7,1,8] => ([(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9)
[3,9,2,4,1,6,7,8,5] => ([(0,7),(0,8),(1,6),(1,8),(2,6),(2,8),(3,6),(3,8),(4,5),(4,7),(5,7),(5,8),(6,8),(7,8)],9)
[3,8,9,1,5,6,7,4,2] => ([(0,1),(0,8),(1,6),(1,7),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,7,1,4,5,6,2,8,9] => ([(2,3),(2,8),(3,7),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,8,7,6,5,4,3,1,9] => ([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,4,9,8,7,6,5,3] => ([(0,8),(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,1,9,2,3,4,5,6] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[6,7,8,1,9,2,3,4,5] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[5,6,7,8,1,9,2,3,4] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,1,2,3,4,5,7,6,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,3,4,5,9,6,7,8] => ([(3,4),(5,8),(6,8),(7,8)],9)
[7,2,6,5,4,3,1,9,8] => ([(0,1),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,1,9,5,8,7,6,4] => ([(0,1),(0,2),(1,2),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,3,5,4,2,1,9,8,7] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,2,1,9,7,8,6,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,3,4,8,6,5,7] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,3,8,5,6,4,7] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,2,9,4,5,6,3,7] => ([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,1,8,3,4,5,6,2,7] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,1,2,3,4,9,5,8,6] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8)],9)
[6,1,2,3,8,4,5,9,7] => ([(0,8),(1,8),(2,8),(3,4),(4,7),(5,7),(5,8),(6,7),(6,8)],9)
[5,1,2,8,3,4,6,9,7] => ([(0,8),(1,7),(2,7),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,1,9,2,3,5,6,8,7] => ([(0,8),(1,8),(2,7),(3,4),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,8,1,2,4,5,6,9,7] => ([(0,8),(1,8),(2,8),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,2,1,3,4,5,6,9,7] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,3,8,5,4,7,6] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,1,2,3,9,4,7,8,5] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8)],9)
[5,1,2,8,3,6,4,9,7] => ([(0,7),(1,7),(2,3),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8)],9)
[9,8,2,1,4,5,6,7,3] => ([(0,1),(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,1,8,2,5,3,6,9,7] => ([(0,8),(1,6),(2,3),(3,8),(4,6),(4,8),(5,7),(5,8),(6,7),(7,8)],9)
[3,9,1,4,2,5,6,8,7] => ([(0,8),(1,8),(2,3),(2,8),(3,8),(4,5),(4,8),(5,7),(6,7),(6,8),(7,8)],9)
[8,2,3,1,4,5,6,9,7] => ([(0,8),(1,8),(2,8),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,7,8,1,9,6] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,4,5,2,6,7,8,9] => ([(5,8),(6,8),(7,8)],9)
[2,3,4,5,7,9,1,6,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
[2,3,4,5,1,6,7,9,8] => ([(2,3),(4,8),(5,8),(6,8),(7,8)],9)
[4,5,6,1,7,8,9,2,3] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,1,4,5,3,6,7,8,9] => ([(4,8),(5,8),(6,7)],9)
[1,3,2,5,4,6,7,8,9] => ([(5,8),(6,7)],9)
[4,1,6,2,8,3,5,7,9] => ([(1,8),(2,7),(3,6),(3,7),(4,6),(4,8),(5,6),(5,7),(5,8)],9)
[4,1,6,2,8,3,9,5,7] => ([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9)
[4,1,6,2,7,3,8,5,9] => ([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8)],9)
[8,7,9,1,4,5,6,2,3] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[7,6,9,1,4,5,2,8,3] => ([(0,7),(0,8),(1,5),(1,6),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,7),(6,7),(7,8)],9)
[3,9,2,4,5,6,7,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,5,2,4,6,7,8,9] => ([(5,8),(6,7),(7,8)],9)
[4,1,2,3,5,6,8,7,9] => ([(3,4),(5,8),(6,8),(7,8)],9)
[1,2,4,7,3,5,6,8,9] => ([(4,8),(5,8),(6,7),(7,8)],9)
[5,1,2,3,4,7,6,8,9] => ([(2,3),(4,8),(5,8),(6,8),(7,8)],9)
[5,6,4,3,2,1,7,8,9] => ([(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,3,2,1,6,7,8,9] => ([(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,7,4,3,2,1,5,8,9] => ([(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[5,6,4,3,2,7,1,8,9] => ([(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,4,3,1,2,6,8,9] => ([(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,4,3,7,1,2,8,9] => ([(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[7,6,4,3,5,2,1,9,8] => ([(0,1),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,3,5,4,2,1,9,8] => ([(0,1),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,6,1,2,3,4,5,7] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,5,1,2,3,4,6] => ([(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,4,1,2,3,5] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,4,7,6,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,3,7,6,5,4,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,8,7,6,5,4,2,1] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,2,8,7,6,5,4,3,1] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,4,6,5,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,3,6,5,4,7,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,7,6,5,4,8,2,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,2,7,6,5,4,3,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,2,3,4,1,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,4,5,7,6,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,5,4,6,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,4,5,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,3,5,7,6,4,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,5,4,6,3,7,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,4,3,6,7,5,2,1] => ([(0,1),(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,4,3,2,1,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,3,2,1,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,1,3,4,5,6,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[6,1,2,9,3,4,5,7,8] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,1,2,3,5,9,6,7,8] => ([(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9)
[3,1,2,4,5,6,9,7,8] => ([(3,8),(4,8),(5,7),(6,7)],9)
[1,3,4,2,5,6,7,8,9] => ([(6,8),(7,8)],9)
[1,2,4,5,6,3,7,8,9] => ([(5,8),(6,8),(7,8)],9)
[1,2,3,5,6,7,8,4,9] => ([(4,8),(5,8),(6,8),(7,8)],9)
[2,1,5,3,6,7,4,8,9] => ([(2,3),(4,8),(5,8),(6,7),(7,8)],9)
[1,3,5,6,4,2,7,8,9] => ([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,5,2,1,6,4,7,8,9] => ([(3,5),(4,7),(4,8),(5,6),(6,7),(6,8),(7,8)],9)
[2,1,3,6,4,7,8,9,5] => ([(1,2),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,3,4,6,7,2,8,5,9] => ([(2,8),(3,8),(4,7),(5,7),(5,8),(6,7),(6,8)],9)
[3,2,6,1,4,7,8,5,9] => ([(1,6),(2,6),(3,7),(4,5),(4,8),(5,8),(6,7),(7,8)],9)
[2,4,6,1,7,5,3,8,9] => ([(2,7),(3,6),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8)],9)
[4,6,3,2,1,7,5,8,9] => ([(2,3),(3,8),(4,5),(4,6),(4,7),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,1,7,5,8,3,9,6] => ([(0,7),(1,5),(2,7),(2,8),(3,5),(3,8),(4,6),(4,8),(6,7),(6,8)],9)
[4,3,7,2,1,5,8,9,6] => ([(0,6),(1,3),(2,3),(3,6),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,5,7,8,6,4,2,9] => ([(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,5,7,2,1,8,6,4,9] => ([(1,6),(1,7),(2,4),(2,8),(3,6),(3,7),(3,8),(4,5),(4,8),(5,6),(5,7),(5,8),(6,7)],9)
[5,7,4,3,2,1,8,6,9] => ([(1,2),(2,8),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,6,8,1,9,7,5,3] => ([(0,6),(1,6),(1,8),(2,5),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(7,8)],9)
[4,6,8,3,2,1,9,7,5] => ([(0,2),(0,4),(1,6),(1,7),(1,8),(2,4),(2,5),(3,4),(3,6),(3,7),(3,8),(4,5),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,8,5,4,3,2,1,9,7] => ([(0,1),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,6,3,7,2,8,1,9] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,5,6,7,4,8,3,9,2] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,5,6,7,8,9,2,4,1] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[2,4,6,7,8,9,1,3,5] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[2,5,6,7,8,9,3,1,4] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[5,4,6,3,8,1,7,2,9] => ([(1,3),(1,8),(2,6),(2,7),(2,8),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[1,6,5,7,4,9,2,8,3] => ([(1,3),(1,8),(2,6),(2,7),(2,8),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[5,4,8,1,7,2,6,3,9] => ([(1,4),(1,5),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,7),(5,7),(6,7),(6,8),(7,8)],9)
[5,4,8,1,6,3,7,2,9] => ([(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(4,5),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[1,6,5,9,2,8,3,7,4] => ([(1,4),(1,5),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,7),(5,7),(6,7),(6,8),(7,8)],9)
[1,6,5,9,2,7,4,8,3] => ([(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(4,5),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[2,5,6,7,8,1,9,3,4] => ([(0,8),(1,6),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[4,5,6,7,1,2,8,3,9] => ([(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,3,6,7,8,9,2,4,5] => ([(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[3,5,6,7,8,1,2,9,4] => ([(0,8),(1,6),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[2,3,4,5,7,6,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,8,7,6,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,7,9,5,6,8] => ([(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,2,3,4,6,7,9,5,8] => ([(4,8),(5,8),(6,7),(7,8)],9)
[1,2,3,4,8,5,6,9,7] => ([(4,8),(5,8),(6,7),(7,8)],9)
[1,2,3,4,7,8,5,9,6] => ([(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,7,9,6,5,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,7,6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,8,6,7,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,9,6,8,7,1] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,4,5,2,6,7,8,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,3,4,5,8,6,7,9] => ([(4,8),(5,8),(6,7)],9)
[9,2,3,4,5,1,6,7,8] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,2,3,4,5,6,9,1,8] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[6,2,3,4,5,9,1,7,8] => ([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[5,2,3,4,9,1,6,7,8] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[4,2,3,9,1,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(7,8)],9)
[3,2,9,1,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,7),(7,8)],9)
[4,5,6,7,8,1,3,9,2] => ([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[4,5,3,6,7,8,9,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[5,3,4,6,7,8,9,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,5,4,3,2,1,6,7,8] => ([(0,8),(1,8),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,7,4,8,5,9,6] => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,2,3,4,7,5,9,8,6] => ([(4,7),(5,6),(5,8),(6,8),(7,8)],9)
[1,2,6,3,7,4,9,8,5] => ([(2,7),(3,4),(3,8),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[1,2,3,8,6,4,9,7,5] => ([(3,6),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,6,4,9,8,7,5] => ([(3,4),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,1,6,2,7,3,9,8,4] => ([(0,7),(1,2),(1,8),(2,8),(3,6),(3,8),(4,5),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
[1,5,2,8,6,3,9,7,4] => ([(1,6),(2,5),(2,8),(3,4),(3,6),(3,7),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[1,5,2,6,3,9,8,7,4] => ([(1,7),(2,3),(2,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[1,2,7,5,3,9,8,6,4] => ([(2,5),(2,7),(3,4),(3,6),(3,8),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,5,3,9,8,7,6,4] => ([(2,3),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,1,7,5,2,9,8,6,3] => ([(0,5),(1,4),(1,5),(1,7),(2,3),(2,6),(2,8),(3,6),(3,8),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[4,1,5,2,9,8,7,6,3] => ([(0,3),(1,2),(1,8),(2,3),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,6,4,2,9,8,7,5,3] => ([(1,2),(1,6),(2,6),(2,8),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,4,2,9,8,7,6,5,3] => ([(1,2),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,5,3,1,9,8,6,4,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,3,1,9,8,7,6,4,2] => ([(0,1),(0,2),(1,2),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,8,9,7,6] => ([(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,8,9,6,7,5] => ([(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[1,2,3,8,9,5,6,7,4] => ([(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[1,2,8,9,4,5,6,7,3] => ([(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[1,4,2,5,6,7,9,8,3] => ([(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,4,5,6,9,7,3,8] => ([(0,1),(2,8),(3,8),(4,8),(5,7),(6,7),(6,8),(7,8)],9)
[3,1,5,2,9,6,7,8,4] => ([(0,6),(1,2),(1,6),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(7,8)],9)
[4,5,1,6,8,7,9,2,3] => ([(0,5),(0,6),(1,7),(1,8),(2,7),(2,8),(3,4),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,1,5,9,6,7,4,8] => ([(0,8),(1,7),(2,4),(3,4),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,4,5,7,9,6,3,8] => ([(2,8),(3,8),(4,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,6,5,7,1,2,9,8] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,1,9,4,2,6,7,8,5] => ([(0,5),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,8),(5,6),(6,8),(7,8)],9)
[1,2,5,3,9,6,8,7,4] => ([(2,4),(3,7),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,1,7,6,8,2,9,3] => ([(0,8),(1,5),(1,6),(2,7),(2,8),(3,4),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[4,8,7,6,5,3,2,1,9] => ([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,8,7,4,6,3,2,1,9] => ([(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,4,7,6,5,3,2,1,9] => ([(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,9,8,5,7,4,1,3,2] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,5,1,6,4,3,2] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,8,3,4,5,6,9,7] => ([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,9,5,2,3,8,4,6,7] => ([(1,7),(1,8),(2,7),(2,8),(3,6),(3,8),(4,6),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[1,8,2,9,4,3,5,6,7] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,2,4,9,8,5,6,7] => ([(2,3),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,3,4,5,9,8,6,7] => ([(3,4),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,7,2,3,4,5,8,6] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[1,8,5,2,3,4,6,9,7] => ([(1,6),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[9,8,1,2,3,5,6,4,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,4,2,3,9,5,6,8,7] => ([(1,8),(2,8),(3,5),(4,5),(6,7),(6,8),(7,8)],9)
[4,9,8,1,2,5,3,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,4),(2,7),(2,8),(3,4),(3,7),(3,8),(4,6),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,2,4,5,9,6,8,7] => ([(3,8),(4,5),(6,7),(6,8),(7,8)],9)
[1,8,3,9,4,2,5,6,7] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[2,3,1,4,9,8,5,6,7] => ([(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(7,8)],9)
[8,7,5,6,4,3,2,1,9] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,5,7,4,3,2,1,9] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,4,3,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,5,6,7,4,3,2,1,9] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,7,5,8,4,3,2,1,9] => ([(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,7,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,6,5,3,2,1,4,8,9] => ([(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,6,5,4,2,3,1,9] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,9,8,6,5,7,4,3,1] => ([(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,1,8,2,3,4,5,9,6] => ([(0,8),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[6,8,1,2,3,4,5,9,7] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8)],9)
[9,6,7,4,5,2,3,1,8] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,6,5,4,3,7,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,6,4,5,1,7,8,9] => ([(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,8,5,6,7,1,9] => ([(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,5,4,7,2,6,1,8,9] => ([(2,6),(2,8),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,6,4,1,5,3,7,8,9] => ([(3,7),(4,6),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[4,5,2,6,3,1,7,8,9] => ([(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,6,4,5,9,2,7,8,1] => ([(0,7),(0,8),(1,5),(1,8),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,5,4,7,8,6,3,1,9] => ([(1,8),(2,3),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,6,2,5,8,3,7,1,9] => ([(1,5),(1,8),(2,3),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,5,7,6,1,4,2,8,9] => ([(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8)],9)
[5,6,2,3,7,4,1,8,9] => ([(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,7,2,3,6,9,4,8,1] => ([(0,4),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,8,4,1,6,3,7,5,9] => ([(1,7),(2,6),(2,8),(3,4),(3,5),(3,8),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[4,6,7,8,3,1,5,2,9] => ([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[6,7,2,3,4,8,5,1,9] => ([(1,5),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,5,9,7,1,8,2,6,4] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[5,7,8,3,9,4,1,6,2] => ([(0,2),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[7,8,2,3,4,5,9,6,1] => ([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,7,6,5,4,3,2,8,1] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,1,4,6,2,5,8,7,9] => ([(1,2),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,3,2,5,7,4,6,9,8] => ([(1,4),(2,3),(5,8),(6,7),(7,8)],9)
[1,9,8,5,6,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,8,5,4,6,7,3,2] => ([(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,5,4,6,7,8,3,2] => ([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,7,5,6,9,8] => ([(4,8),(5,8),(6,7)],9)
[9,8,7,6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,7,4,5,6,8,9,3] => ([(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,7,8,5,6,9] => ([(5,7),(5,8),(6,7),(6,8)],9)
[1,2,3,4,6,5,8,7,9] => ([(5,8),(6,7)],9)
[1,2,3,4,8,9,5,6,7] => ([(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,1,7,8,9,3,4,5,6] => ([(0,1),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[9,7,5,3,8,6,4,2,1] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,9,7,4,3,2,1,5] => ([(0,1),(0,2),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,3,2,1,4,9,7,5] => ([(0,7),(0,8),(1,2),(1,6),(2,6),(2,8),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,4,9,7,5,2,1,3] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,5,3,8,6,4,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,6,7,8,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,5,6,9,7,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,3,2,1,9,7,4,5] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(1,8),(2,3),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,8,4,3,2,1,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,6,3,4,9,7,5,2,1] => ([(0,4),(0,6),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,3),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,9,7,3,2,1,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,7),(7,8)],9)
[9,7,5,2,3,8,6,4,1] => ([(0,4),(0,6),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,3),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,2,1,3,4,9,7,5] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,6),(3,6),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,4,9,7,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,5,1,6,3,7,4,8,9] => ([(2,8),(3,6),(4,5),(4,8),(5,7),(6,7),(7,8)],9)
[2,6,1,7,3,8,4,9,5] => ([(0,8),(1,4),(2,6),(2,8),(3,5),(3,7),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
[3,4,6,1,7,2,8,5,9] => ([(1,7),(2,7),(2,8),(3,5),(3,8),(4,5),(4,8),(5,6),(6,7),(6,8)],9)
[3,2,6,1,7,4,8,5,9] => ([(1,8),(2,5),(2,8),(3,4),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[4,2,5,6,1,7,3,8,9] => ([(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8)],9)
[3,4,2,6,1,7,5,8,9] => ([(2,6),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(7,8)],9)
[4,2,5,7,1,8,3,9,6] => ([(0,6),(1,6),(1,7),(2,7),(2,8),(3,4),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[3,4,2,7,1,8,5,9,6] => ([(0,7),(1,2),(1,7),(2,6),(3,5),(3,8),(4,5),(4,8),(5,8),(6,7),(6,8)],9)
[5,3,6,4,7,1,8,2,9] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,5,2,6,7,1,8,4,9] => ([(1,7),(2,7),(2,8),(3,7),(3,8),(4,5),(4,8),(5,6),(5,8),(6,7),(6,8)],9)
[4,3,5,2,7,1,8,6,9] => ([(1,4),(2,4),(2,8),(3,7),(3,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,6,2,7,5,8,1,9,3] => ([(0,8),(1,7),(1,8),(2,3),(2,7),(2,8),(3,5),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[4,3,6,2,7,8,1,9,5] => ([(0,7),(1,7),(1,8),(2,7),(2,8),(3,4),(3,6),(3,8),(4,6),(4,8),(5,6),(5,7),(5,8),(6,8)],9)
[4,5,3,6,2,8,1,9,7] => ([(0,3),(1,3),(1,8),(2,7),(2,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,1,7,8,9,2,3,4,5] => ([(0,8),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[4,5,6,7,1,9,2,3,8] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8)],9)
[3,5,6,7,9,1,2,4,8] => ([(0,6),(1,7),(1,8),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(6,7),(6,8)],9)
[5,1,6,7,8,2,9,3,4] => ([(0,6),(1,7),(1,8),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(6,7),(6,8)],9)
[4,1,6,7,8,9,2,3,5] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8)],9)
[2,3,1,5,6,8,9,4,7] => ([(0,8),(1,8),(2,4),(3,4),(5,7),(5,8),(6,7),(6,8)],9)
[5,6,7,8,9,1,3,4,2] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(6,8),(7,8)],9)
[6,7,8,9,1,3,4,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[6,7,8,9,1,4,5,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[6,7,8,9,1,4,5,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,7,8,9,1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,1,4,5,6,2,3] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[7,8,9,1,4,5,6,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,1,5,6,3,4,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[7,8,9,1,5,6,4,3,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,1,5,6,7,3,4,2] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,1,5,6,7,4,3,2] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,1,6,7,4,5,2,3] => ([(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,1,6,7,4,5,3,2] => ([(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,1,6,7,5,4,3,2] => ([(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,1,7,8,5,6,3,4,2] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,7,8,5,6,4,3,2] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,7,9,6,8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,6,9,5,7,8,1] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,5,9,4,6,7,8,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,9,3,5,6,7,8,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[5,9,8,7,6,4,3,1,2] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,8,7,6,3,2,1,9] => ([(1,2),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,5,9,8,7,4,3,1,2] => ([(0,1),(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,5,8,7,6,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,1,8,9,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9)
[2,3,4,5,1,7,8,9,6] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9)
[2,9,3,4,5,6,1,7,8] => ([(0,8),(1,8),(2,7),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,8,3,4,5,1,6,9,7] => ([(0,6),(1,8),(2,7),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,7,3,4,1,5,8,9,6] => ([(0,8),(1,7),(2,6),(3,6),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[2,6,3,1,4,7,8,9,5] => ([(0,8),(1,7),(2,7),(3,7),(4,6),(5,6),(5,8),(6,8),(7,8)],9)
[4,2,5,3,7,6,9,8,1] => ([(0,3),(0,8),(1,2),(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,6,3,7,5,9,8,1] => ([(0,1),(0,8),(1,8),(2,5),(2,8),(3,4),(3,8),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,6,3,8,5,9,7,1] => ([(0,7),(0,8),(1,6),(1,8),(2,3),(2,4),(2,8),(3,5),(3,8),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[4,2,6,3,8,5,1,7,9] => ([(1,7),(2,6),(2,8),(3,4),(3,5),(3,8),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[4,2,6,3,8,5,7,1,9] => ([(1,7),(1,8),(2,6),(2,8),(3,4),(3,5),(3,8),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[4,2,6,3,5,8,7,1,9] => ([(1,2),(1,8),(2,8),(3,6),(3,8),(4,5),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,3,6,5,8,7,1,9] => ([(1,4),(1,8),(2,3),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,2,6,3,7,4,9,8,1] => ([(0,1),(0,8),(1,8),(2,7),(2,8),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,7,3,8,5,9,6,1] => ([(0,7),(0,8),(1,5),(1,8),(2,3),(2,7),(2,8),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,6,3,9,5,1,7,8] => ([(0,7),(1,7),(2,6),(2,8),(3,4),(3,5),(3,8),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[4,2,6,3,8,5,7,9,1] => ([(0,8),(1,7),(1,8),(2,6),(2,8),(3,4),(3,5),(3,8),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[4,2,6,3,5,8,1,7,9] => ([(1,4),(2,6),(2,8),(3,5),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,2,3,6,8,5,7,1,9] => ([(1,7),(1,8),(2,6),(2,8),(3,5),(3,8),(4,5),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,6,3,5,8,7,1,9] => ([(1,8),(2,3),(2,8),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,5,6,9,2,1,8,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(5,6),(6,7),(6,8),(7,8)],9)
[3,4,5,8,2,9,1,7,6] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,6),(5,6),(6,7),(6,8),(7,8)],9)
[3,4,7,2,8,9,1,5,6] => ([(0,7),(0,8),(1,7),(1,8),(2,4),(2,5),(2,8),(3,4),(3,5),(3,8),(4,6),(5,6),(6,7),(6,8),(7,8)],9)
[3,6,2,7,8,9,1,5,4] => ([(0,4),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,8),(5,6),(5,7),(5,8),(6,7)],9)
[5,2,6,7,8,9,1,4,3] => ([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7)],9)
[3,4,5,6,9,1,7,8,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8)],9)
[3,4,5,8,9,6,1,7,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,7,8,5,9,1,2,6] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,5),(2,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,9,2,6,1,8,7] => ([(0,1),(0,7),(1,7),(2,6),(2,8),(3,6),(3,8),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,6,7,4,8,9,1,5,2] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8)],9)
[3,4,8,2,5,9,1,7,6] => ([(0,7),(0,8),(1,6),(1,8),(2,6),(2,8),(3,4),(3,5),(3,8),(4,5),(4,7),(5,7),(6,7),(6,8),(7,8)],9)
[5,6,3,7,8,9,1,4,2] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(7,8)],9)
[3,7,2,4,8,9,1,5,6] => ([(0,6),(0,8),(1,7),(1,8),(2,4),(2,5),(2,8),(3,4),(3,5),(3,8),(4,7),(5,7),(6,7),(6,8),(7,8)],9)
[6,2,3,7,8,9,1,5,4] => ([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,6),(5,7),(6,7),(7,8)],9)
[8,9,7,6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,9,6,5,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,8,6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,2,4,5,6,9,7,8] => ([(4,8),(5,8),(6,7)],9)
[2,3,1,4,5,6,9,7,8] => ([(3,8),(4,8),(5,7),(6,7)],9)
[4,3,9,5,6,7,8,2,1] => ([(0,1),(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,8,5,6,7,1,9,4] => ([(0,7),(1,2),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[7,8,4,5,6,1,3,9,2] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,1,9,6,7,8,2,5] => ([(0,1),(0,2),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9)
[4,8,9,5,6,7,2,1,3] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[4,2,3,8,6,7,1,9,5] => ([(0,7),(1,5),(1,8),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(6,7),(6,8)],9)
[6,8,4,5,1,3,7,9,2] => ([(0,8),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,5,1,4,9,7,8,2,6] => ([(0,6),(0,8),(1,2),(1,6),(2,8),(3,4),(3,5),(3,7),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[8,3,4,9,6,7,2,5,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,7,9,5,6,2,1,8,3] => ([(0,7),(0,8),(1,5),(1,6),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,7),(6,7),(7,8)],9)
[8,1,2,5,3,4,6,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,2,3,6,4,5,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,2,6,4,3,5,7,9] => ([(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,2,6,3,5,4,7,9] => ([(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,2,3,7,5,4,6,8] => ([(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,2,3,7,4,6,5,8] => ([(1,8),(2,8),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,7,8,9,3,2,1,4] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(6,7),(6,8),(7,8)],9)
[6,7,8,9,3,4,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[6,7,8,9,3,4,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,3,4,5,1,2,6] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[7,8,9,3,4,5,2,1,6] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[7,8,9,4,5,2,3,1,6] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[7,8,9,4,5,3,2,1,6] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,4,5,6,2,3,1,7] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,4,5,6,3,2,1,7] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,5,6,3,4,1,2,7] => ([(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,5,6,3,4,2,1,7] => ([(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[8,9,5,6,4,3,2,1,7] => ([(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[9,6,7,4,5,3,2,1,8] => ([(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,1,8,2,3,4,5,6] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[9,6,1,7,2,8,3,4,5] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[8,6,1,9,7,2,3,4,5] => ([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(6,8),(7,8)],9)
[9,8,6,1,7,2,3,4,5] => ([(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,5,1,9,6,2,7,3,4] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[9,8,5,1,6,2,7,3,4] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,5,1,8,6,2,3,4] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,5,1,6,2,3,4] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,7,4,1,8,5,2,6,3] => ([(0,5),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,4,1,5,2,6,3] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,4,1,9,7,5,2,3] => ([(0,3),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,6,4,1,7,5,2,3] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,1,2,8,4,3,5,6,7] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,9,3,2,4,6,5,7] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,8,2,1,3,5,6,4,7] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,1,9,2,4,5,6,3,7] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[1,4,3,6,5,8,7,9,2] => ([(1,8),(2,7),(2,8),(3,6),(3,8),(4,5),(4,8),(5,8),(6,8),(7,8)],9)
[1,4,2,6,5,8,7,9,3] => ([(1,7),(2,8),(3,6),(3,8),(4,5),(4,8),(5,8),(6,8),(7,8)],9)
[1,5,2,6,4,8,7,9,3] => ([(1,7),(2,8),(3,4),(3,8),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[1,5,2,7,4,8,6,9,3] => ([(1,7),(2,8),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[1,5,2,7,4,9,6,8,3] => ([(1,7),(2,6),(2,8),(3,4),(3,5),(3,8),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[1,5,2,7,4,6,9,8,3] => ([(1,7),(2,3),(2,8),(3,8),(4,5),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[1,5,2,4,7,6,9,8,3] => ([(1,7),(2,5),(2,8),(3,4),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,5,4,7,6,9,8,3] => ([(2,7),(2,8),(3,6),(3,8),(4,5),(4,8),(5,8),(6,8),(7,8)],9)
[1,5,2,6,3,8,7,9,4] => ([(1,8),(2,7),(3,4),(3,8),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[1,6,2,7,4,8,5,9,3] => ([(1,8),(2,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[1,5,2,8,4,9,6,7,3] => ([(1,6),(2,3),(2,4),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[1,5,2,7,4,6,8,9,3] => ([(1,8),(2,8),(3,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[1,5,2,4,7,9,6,8,3] => ([(1,7),(2,7),(2,8),(3,6),(3,8),(4,5),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[1,2,5,7,4,6,9,8,3] => ([(2,3),(2,8),(3,8),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9)
[3,4,5,6,8,9,7,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,7,8,9,6,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,5,6,7,8,9,4,1,2] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[4,5,6,7,8,9,3,1,2] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,4,5,8,1,9,7,6,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,8)],9)
[3,4,7,1,8,9,6,5,2] => ([(0,4),(0,8),(1,4),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,6,1,7,8,9,4,5,2] => ([(0,1),(0,8),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[5,1,6,7,8,9,4,3,2] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,5,6,7,8,9,3,2,4] => ([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[3,4,5,8,9,6,7,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,7,8,5,9,6,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[3,4,5,9,1,6,7,8,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,8),(4,6),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[3,4,8,1,5,9,7,6,2] => ([(0,7),(0,8),(1,3),(1,8),(2,3),(2,8),(3,7),(4,5),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,3,7,8,9,4,1,2] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[3,7,1,4,8,9,6,5,2] => ([(0,1),(0,5),(1,8),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,2,6,7,8,9,3,1,4] => ([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[6,1,3,7,8,9,4,5,2] => ([(0,7),(1,7),(1,8),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,6,7,8,9,4,3,5] => ([(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[9,3,4,5,6,8,7,2,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,3,5,6,7,8,2,1] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,3,4,5,7,6,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,4,3,5,6,7,2,1] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,4,5,6,2,8,7,1] => ([(0,1),(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,2,4,5,6,8,7,3,1] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,4,3,5,6,7,2,8,1] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,2,5,6,7,8,4,1] => ([(0,1),(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,6,3,5,7,2,8,1,9] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,3,4,7,2,8,1,9] => ([(1,8),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,5,7,4,6,8,3,9,2] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,6,7,4,5,8,3,9,2] => ([(1,8),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,8,5,9,6,7] => ([(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,2,3,7,4,5,8,6,9] => ([(4,8),(5,8),(6,7),(7,8)],9)
[1,2,3,4,8,6,5,7,9] => ([(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,9,7,5,6,8] => ([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,4,9,3,5,6,7,8] => ([(0,1),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[3,7,1,2,4,5,6,9,8] => ([(0,1),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[3,1,2,6,9,4,5,7,8] => ([(0,8),(1,8),(2,4),(3,4),(5,7),(5,8),(6,7),(6,8)],9)
[4,6,1,2,3,5,9,7,8] => ([(0,6),(1,6),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8)],9)
[9,7,6,5,4,3,8,2,1] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,6,5,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,4,3,2,1,9,7,8,6] => ([(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,4,3,6,5,8,7,10,9] => ([(0,9),(1,8),(2,7),(3,6),(4,5)],10)
[3,4,1,2,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,8),(6,9),(7,8),(7,9)],10)
[4,3,2,1,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,3,2,5,4,1,8,7,10,9] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,3,2,5,4,7,6,1,10,9] => ([(0,1),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,2,5,4,7,6,9,8,1] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,8),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,6,1,2,3,8,7,10,9] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,5,1,6,2,4,8,7,10,9] => ([(0,3),(1,2),(4,7),(4,9),(5,6),(5,9),(6,8),(7,8),(8,9)],10)
[2,1,5,6,3,4,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,6,5,4,3,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,2,1,8,7,10,9] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,4,3,2,7,6,1,10,9] => ([(0,1),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,4,3,2,7,6,9,8,1] => ([(0,3),(0,8),(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,8,5,4,7,6,3,10,9] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,4,3,6,5,2,1,10,9] => ([(0,1),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,4,3,6,5,2,9,8,1] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,5,4,7,6,9,8,3] => ([(0,1),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,4,3,6,5,8,7,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,5,6,3,4,10,1,2,7] => ([(0,1),(0,8),(0,9),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,6,7,8,1,2,3,4,10,9] => ([(0,1),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[4,6,7,1,8,2,3,5,10,9] => ([(0,1),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,6,1,7,8,2,4,5,10,9] => ([(0,1),(2,3),(2,9),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[2,1,6,7,8,3,4,5,10,9] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,1,5,7,3,8,4,6,10,9] => ([(0,3),(1,2),(4,7),(4,9),(5,6),(5,9),(6,8),(7,8),(8,9)],10)
[3,5,1,7,2,8,4,6,10,9] => ([(0,1),(2,5),(2,9),(3,4),(3,6),(4,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[4,5,7,1,2,8,3,6,10,9] => ([(0,1),(2,3),(2,9),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[3,4,1,2,7,8,5,6,10,9] => ([(0,1),(2,8),(2,9),(3,5),(3,6),(4,5),(4,6),(7,8),(7,9)],10)
[2,1,4,3,7,8,5,6,10,9] => ([(0,5),(1,4),(2,3),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,4,3,8,7,6,5,10,9] => ([(0,5),(1,4),(2,3),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,8,7,6,5,10,9] => ([(0,1),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(8,9)],10)
[8,3,2,7,6,5,4,1,10,9] => ([(0,1),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,2,7,6,5,4,9,8,1] => ([(0,3),(0,8),(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,8,7,6,5,4,3,10,9] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,4,3,2,1,10,9] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,6,5,4,3,2,10,1,8] => ([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,6,5,4,3,2,9,8,1] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,7,6,5,4,9,8,3] => ([(0,1),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,6,5,4,3,8,7,2,1] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,10,7,6,9,8,5] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,10,7,6,9,8,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,2,9,6,5,8,7,4,1] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,9,6,5,8,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,5,4,7,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,9,6,7,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,7,8,9,10,3,4,5,6] => ([(0,1),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[3,7,1,8,9,10,2,4,5,6] => ([(0,1),(0,9),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[4,7,8,1,9,10,2,3,5,6] => ([(0,1),(0,8),(0,9),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,7,8,9,1,10,2,3,4,6] => ([(0,3),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[6,7,8,9,10,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[5,6,8,9,1,2,10,3,4,7] => ([(0,1),(0,8),(0,9),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,6,8,1,9,2,10,3,5,7] => ([(0,3),(0,7),(0,9),(1,2),(1,6),(1,9),(2,4),(2,8),(3,5),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(7,8),(8,9)],10)
[3,6,1,8,9,2,10,4,5,7] => ([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[2,1,6,8,9,3,10,4,5,7] => ([(0,1),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,5,8,3,9,10,4,6,7] => ([(0,1),(2,3),(2,9),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[3,5,1,8,2,9,10,4,6,7] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,8),(3,4),(3,5),(3,8),(4,9),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[4,5,8,1,2,9,10,3,6,7] => ([(0,6),(0,7),(0,9),(1,4),(1,5),(1,9),(2,4),(2,5),(2,9),(3,6),(3,7),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10)
[7,3,2,8,9,10,1,4,5,6] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[3,4,1,2,8,9,10,5,6,7] => ([(0,2),(0,3),(1,2),(1,3),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,1,4,3,8,9,10,5,6,7] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,1,4,3,7,9,5,10,6,8] => ([(0,3),(1,2),(4,7),(4,9),(5,6),(5,9),(6,8),(7,8),(8,9)],10)
[3,4,1,2,7,9,5,10,6,8] => ([(0,2),(0,3),(1,2),(1,3),(4,7),(4,9),(5,6),(5,9),(6,8),(7,8),(8,9)],10)
[4,5,7,1,2,9,3,10,6,8] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,8),(3,4),(3,5),(3,8),(4,9),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[3,5,1,7,2,9,4,10,6,8] => ([(0,3),(0,7),(1,2),(1,6),(2,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(7,9)],10)
[2,1,5,7,3,9,4,10,6,8] => ([(0,1),(2,5),(2,9),(3,4),(3,6),(4,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[2,1,6,7,9,3,4,10,5,8] => ([(0,1),(2,3),(2,9),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[3,6,1,7,9,2,4,10,5,8] => ([(0,3),(0,7),(1,2),(1,6),(2,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,6,7,1,9,2,3,10,5,8] => ([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[5,6,7,9,1,2,3,10,4,8] => ([(0,1),(0,9),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,5,4,3,2,9,10,1,6,7] => ([(0,2),(0,3),(0,9),(1,2),(1,3),(1,9),(2,8),(3,8),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,5,6,3,4,9,10,7,8] => ([(0,1),(2,8),(2,9),(3,5),(3,6),(4,5),(4,6),(7,8),(7,9)],10)
[3,5,1,6,2,4,9,10,7,8] => ([(0,2),(0,3),(1,2),(1,3),(4,7),(4,9),(5,6),(5,9),(6,8),(7,8),(8,9)],10)
[4,5,6,1,2,3,9,10,7,8] => ([(0,2),(0,3),(1,2),(1,3),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,4,1,2,6,5,9,10,7,8] => ([(0,1),(2,8),(2,9),(3,5),(3,6),(4,5),(4,6),(7,8),(7,9)],10)
[2,1,4,3,6,5,9,10,7,8] => ([(0,5),(1,4),(2,3),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,4,3,6,5,10,9,8,7] => ([(0,5),(1,4),(2,3),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,6,5,10,9,8,7] => ([(0,1),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(8,9)],10)
[6,3,2,5,4,1,10,9,8,7] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,2,5,4,9,8,7,6,1] => ([(0,3),(0,8),(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,5,4,3,10,9,8,7] => ([(0,1),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(8,9)],10)
[6,5,4,3,2,1,10,9,8,7] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,4,3,2,9,8,7,6,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,8),(1,9),(2,3),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,5,4,9,8,7,6,3] => ([(0,1),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,4,3,8,7,6,5,2,1] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,10,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,5),(0,7),(0,9),(1,2),(1,3),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,10,9,8,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,10,9,8,7,6,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,2,9,8,7,6,5,4,1] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,9,8,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,8,7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,2,1,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,2,6,4,1,8,7,10,9] => ([(0,3),(1,2),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,5,2,7,4,8,6,1,10,9] => ([(0,1),(2,8),(2,9),(3,7),(3,9),(4,5),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[3,5,2,7,4,9,6,10,8,1] => ([(0,8),(0,9),(1,7),(1,9),(2,3),(2,4),(2,9),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[2,1,5,6,4,3,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,6,3,2,1,8,7,10,9] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,7,3,2,8,6,1,10,9] => ([(0,1),(2,5),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,7,3,2,9,6,10,8,1] => ([(0,5),(0,9),(1,4),(1,5),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,5,7,4,8,6,3,10,9] => ([(0,3),(1,2),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,6,7,3,8,5,2,1,10,9] => ([(0,1),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,6,7,3,9,5,2,10,8,1] => ([(0,2),(0,9),(1,7),(1,8),(1,9),(2,5),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,5,7,4,9,6,10,8,3] => ([(0,1),(2,8),(2,9),(3,7),(3,9),(4,5),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[4,6,8,3,9,5,10,7,2,1] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,7,8,6,5,10,9] => ([(0,5),(1,4),(2,3),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,2,1,7,8,6,5,10,9] => ([(0,1),(2,8),(2,9),(3,6),(3,7),(4,6),(4,7),(5,8),(5,9),(6,7),(8,9)],10)
[3,6,2,7,8,5,4,1,10,9] => ([(0,1),(2,5),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,6,2,7,9,5,4,10,8,1] => ([(0,4),(0,9),(1,3),(1,9),(2,7),(2,8),(2,9),(3,5),(3,9),(4,6),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,7,8,5,4,3,10,9] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,7,8,4,3,2,1,10,9] => ([(0,1),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,7,9,4,3,2,10,8,1] => ([(0,1),(0,9),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,7,9,5,4,10,8,3] => ([(0,1),(2,5),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,8,9,4,3,10,7,2,1] => ([(0,5),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,7,9,6,10,8,5] => ([(0,3),(1,2),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,4,2,1,7,9,6,10,8,5] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(2,9),(3,5),(3,9),(4,5),(4,6),(4,9),(5,9),(6,9),(7,8)],10)
[3,6,2,8,9,5,10,7,4,1] => ([(0,2),(0,9),(1,7),(1,8),(1,9),(2,5),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,8,9,5,10,7,4,3] => ([(0,1),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,7,8,9,4,10,6,3,2,1] => ([(0,6),(0,7),(0,8),(0,9),(1,5),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,8,9,10,1,4,5,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,8,9,10,1,4,5,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[6,7,8,9,10,4,3,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,8,9,10,1,3,4,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[6,7,8,9,10,3,4,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[6,7,8,9,10,3,4,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,8,9,10,2,3,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[2,1,4,3,6,5,9,10,8,7] => ([(0,5),(1,4),(2,3),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,2,1,6,5,9,10,8,7] => ([(0,1),(2,8),(2,9),(3,6),(3,7),(4,6),(4,7),(5,8),(5,9),(6,7),(8,9)],10)
[3,5,2,6,4,1,9,10,8,7] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(2,9),(3,5),(3,9),(4,5),(4,6),(4,9),(5,9),(6,9),(7,8)],10)
[3,5,2,8,4,9,10,7,6,1] => ([(0,5),(0,9),(1,4),(1,5),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,5,6,4,3,9,10,8,7] => ([(0,1),(2,8),(2,9),(3,6),(3,7),(4,6),(4,7),(5,8),(5,9),(6,7),(8,9)],10)
[4,5,6,3,2,1,9,10,8,7] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(7,8),(7,9),(8,9)],10)
[4,5,8,3,2,9,10,7,6,1] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,9),(2,5),(2,6),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,5,8,4,9,10,7,6,3] => ([(0,1),(2,5),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,7,8,3,9,10,6,5,2,1] => ([(0,5),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,8,9,10,7,6,5] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,2,1,8,9,10,7,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(7,8),(7,9),(8,9)],10)
[3,7,2,8,9,10,6,5,4,1] => ([(0,1),(0,9),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,7,8,9,10,6,5,4,3] => ([(0,1),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,8,9,10,1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,8,9,10,5,4,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,7,8,9,1,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,7,8,10,1,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[2,3,4,5,6,7,9,10,1,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,4,5,6,8,9,10,1,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,4,5,7,8,9,10,1,6] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,4,6,7,8,9,10,1,5] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,5,6,7,8,9,10,1,4] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,4,5,6,7,8,9,10,1,3] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,5,6,7,8,9,10,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,8,9,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,8,9,4,5,6,1,2,3,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,7,8,5,6,9,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,7,8,4,5,9,1,2,3,6] => ([(0,1),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,6,7,4,5,8,1,2,3,9] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[10,7,8,3,4,9,1,2,5,6] => ([(0,4),(0,7),(0,8),(0,9),(1,4),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,6,7,3,4,8,1,2,5,9] => ([(0,9),(1,2),(1,7),(1,8),(1,9),(2,5),(2,6),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,8,10,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[9,8,10,4,5,6,1,2,3,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[9,7,10,5,6,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,7,10,4,5,8,1,2,3,6] => ([(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(8,9)],10)
[9,6,10,4,5,7,1,2,3,8] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,7,10,3,4,8,1,2,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(8,9)],10)
[9,6,10,3,4,7,1,2,5,8] => ([(0,8),(0,9),(1,4),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[8,7,9,5,6,10,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,9,4,5,10,1,2,3,6] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,9,4,5,10,1,2,3,7] => ([(0,1),(0,8),(0,9),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,6,8,4,5,9,1,2,3,10] => ([(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,7,9,3,4,10,1,2,5,6] => ([(0,2),(0,7),(0,8),(0,9),(1,2),(1,7),(1,8),(1,9),(2,5),(2,6),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[8,6,9,3,4,10,1,2,5,7] => ([(0,2),(0,8),(0,9),(1,2),(1,7),(1,8),(1,9),(2,5),(2,6),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[7,6,8,3,4,9,1,2,5,10] => ([(1,2),(1,8),(1,9),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,6,10,5,7,8,1,2,3,4] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,9),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[9,6,10,4,7,8,1,2,3,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,5,10,4,6,7,1,2,3,8] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,6,10,3,7,8,1,2,4,5] => ([(0,3),(0,4),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9)],10)
[9,5,10,3,6,7,1,2,4,8] => ([(0,8),(0,9),(1,2),(1,4),(1,5),(1,8),(1,9),(2,3),(2,6),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,6,9,5,7,10,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,9,4,7,10,1,2,3,5] => ([(0,1),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,5,9,4,6,10,1,2,3,7] => ([(0,1),(0,8),(0,9),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,5,8,4,6,9,1,2,3,10] => ([(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,6,9,3,7,10,1,2,4,5] => ([(0,2),(0,3),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,9),(3,4),(3,5),(3,6),(3,9),(4,5),(4,7),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,5,9,3,6,10,1,2,4,7] => ([(0,1),(0,8),(0,9),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,5,8,3,6,9,1,2,4,10] => ([(1,6),(1,8),(1,9),(2,3),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,8),(7,9)],10)
[8,4,9,3,5,10,1,2,6,7] => ([(0,4),(0,8),(0,9),(1,4),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,9),(4,6),(4,7),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,4,8,3,5,9,1,2,6,10] => ([(1,2),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,6,10,2,7,8,1,3,4,5] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[9,5,10,2,6,7,1,3,4,8] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[8,6,9,2,7,10,1,3,4,5] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,8),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,8),(5,9),(6,8),(7,8),(7,9),(8,9)],10)
[8,5,9,2,6,10,1,3,4,7] => ([(0,2),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,7),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[7,5,8,2,6,9,1,3,4,10] => ([(1,6),(1,7),(1,9),(2,4),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(7,8),(8,9)],10)
[8,4,9,2,5,10,1,3,6,7] => ([(0,5),(0,8),(0,9),(1,5),(1,8),(1,9),(2,3),(2,7),(2,8),(2,9),(3,6),(3,7),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,4,8,2,5,9,1,3,6,10] => ([(1,2),(1,7),(1,9),(2,6),(2,8),(3,4),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[1,2,3,4,5,6,7,8,10,9] => ([(8,9)],10)
[2,1,3,4,5,6,7,8,9,10] => ([(8,9)],10)
[9,1,2,3,4,5,6,7,10,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[2,10,1,3,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,2,3,4,5,6,7,8,9,10] => ([],10)
[1,2,3,4,5,6,7,9,10,8] => ([(7,9),(8,9)],10)
[1,2,3,4,5,6,8,9,10,7] => ([(6,9),(7,9),(8,9)],10)
[1,2,3,4,5,7,8,9,10,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[1,2,3,4,6,7,8,9,10,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,2,3,5,6,7,8,9,10,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,2,4,5,6,7,8,9,10,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,3,4,5,6,7,8,9,10,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,10,8,7,6,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,10,7,6,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,10,6,5,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,10,5,4,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,5,10,4,3,2,1] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,5,4,10,3,2,1] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,5,4,3,10,2,1] => ([(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,5,4,3,2,10,1] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,5,4,3,2,1,10] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,3,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,1,2,3,4,5,6,9,7,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,3,4,5,9,6,7,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,2,3,4,10,5,6,7,8] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,1,2,3,9,4,5,6,7,8] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,9,3,4,5,6,7,8] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,10,2,3,4,5,6,7,8] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,1,2,3,4,5,6,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,1,2,3,4,5,6,9,10,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[7,1,2,3,4,5,10,9,6,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8)],10)
[6,1,2,3,4,10,9,5,7,8] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8)],10)
[5,1,2,3,9,10,4,6,7,8] => ([(0,7),(1,7),(2,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,1,2,10,9,3,5,6,7,8] => ([(0,7),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[3,1,10,9,2,4,5,6,7,8] => ([(0,6),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[2,9,10,1,3,4,5,6,7,8] => ([(0,7),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,10,9,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,5,6,4,3,2,1,10] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,8,6,7,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,2,1,3,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,5,6,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,6,8,10,1,3,5,7,9] => ([(0,9),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[2,4,6,9,10,1,3,5,7,8] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[2,4,7,8,10,1,3,5,6,9] => ([(0,9),(1,8),(2,7),(2,9),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[2,4,7,9,10,1,3,5,6,8] => ([(0,9),(1,7),(1,8),(2,6),(2,9),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[2,4,8,9,10,1,3,5,6,7] => ([(0,9),(1,5),(1,9),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[2,5,6,8,10,1,3,4,7,9] => ([(0,9),(1,8),(2,7),(2,9),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[2,5,6,9,10,1,3,4,7,8] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[2,5,7,8,10,1,3,4,6,9] => ([(0,9),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[2,5,7,9,10,1,3,4,6,8] => ([(0,9),(1,7),(1,8),(2,5),(2,6),(2,9),(3,4),(3,7),(3,8),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[2,5,8,9,10,1,3,4,6,7] => ([(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[2,6,7,8,10,1,3,4,5,9] => ([(0,9),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[2,6,7,9,10,1,3,4,5,8] => ([(0,9),(1,7),(1,8),(2,4),(2,5),(2,6),(2,9),(3,4),(3,5),(3,6),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[2,6,8,9,10,1,3,4,5,7] => ([(0,9),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[2,7,8,9,10,1,3,4,5,6] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[3,4,6,8,10,1,2,5,7,9] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[3,4,6,9,10,1,2,5,7,8] => ([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,7,8,10,1,2,5,6,9] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[3,4,7,9,10,1,2,5,6,8] => ([(0,6),(0,7),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,8,9,10,1,2,5,6,7] => ([(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,5,6,8,10,1,2,4,7,9] => ([(0,9),(1,7),(1,8),(2,6),(2,9),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[3,5,6,9,10,1,2,4,7,8] => ([(0,6),(0,7),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,5,7,8,10,1,2,4,6,9] => ([(0,9),(1,7),(1,8),(2,5),(2,6),(2,9),(3,4),(3,7),(3,8),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[3,5,7,9,10,1,2,4,6,8] => ([(0,8),(0,9),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,5,8,9,10,1,2,4,6,7] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,6,7,8,10,1,2,4,5,9] => ([(0,9),(1,7),(1,8),(2,4),(2,5),(2,6),(2,9),(3,4),(3,5),(3,6),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[3,6,7,9,10,1,2,4,5,8] => ([(0,8),(0,9),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,6,8,9,10,1,2,4,5,7] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,7,8,9,10,1,2,4,5,6] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,5,6,8,10,1,2,3,7,9] => ([(0,9),(1,5),(1,9),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[4,5,6,9,10,1,2,3,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,5,7,8,10,1,2,3,6,9] => ([(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[4,5,7,9,10,1,2,3,6,8] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,5,8,9,10,1,2,3,6,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,6,7,8,10,1,2,3,5,9] => ([(0,9),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[4,6,7,9,10,1,2,3,5,8] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,6,8,9,10,1,2,3,5,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,7,8,9,10,1,2,3,5,6] => ([(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[5,6,7,8,10,1,2,3,4,9] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[5,6,7,9,10,1,2,3,4,8] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,6,8,9,10,1,2,3,4,7] => ([(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[5,7,8,9,10,1,2,3,4,6] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[3,1,4,5,6,7,8,9,10,2] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[10,3,4,5,6,7,8,1,2,9] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,1,4,5,6,7,8,9,2,3] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[2,10,4,5,6,7,8,1,3,9] => ([(0,9),(1,8),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,3,4,5,6,7,1,10,2,9] => ([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[3,1,10,5,6,7,8,9,2,4] => ([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[9,1,4,5,6,7,8,2,10,3] => ([(0,9),(1,8),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,10,1,2,3,4,5,6,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,10,1,2,3,4,5,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,8,9,1,2,3,4,5,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,9,8,1,2,3,4,5,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[10,7,8,9,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[9,10,7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,7,8,9,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,10,6,7,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,6,7,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,9,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,9,8,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,9,8,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,8,9,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[9,10,7,8,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,7,8,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,9,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,9,8,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,7,6,5,4,3,2,1,10] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,2,3,4,5,6,7,8,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,10,2,3,4,5,6,7,8,9] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[8,9,1,2,3,4,5,6,7,10] => ([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,9,10,2,3,4,5,6,7,8] => ([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,4,1,3,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10)
[2,4,1,6,3,5,8,7,10,9] => ([(0,3),(1,2),(4,7),(5,6),(6,8),(7,9),(8,9)],10)
[2,4,1,6,3,8,5,7,10,9] => ([(0,9),(1,8),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,4,1,6,3,8,5,10,7,9] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,4,1,6,3,8,5,9,7,10] => ([(1,9),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,4,1,6,3,7,5,9,8,10] => ([(1,9),(2,8),(3,4),(5,6),(5,7),(6,8),(7,9)],10)
[2,4,1,5,3,7,6,9,8,10] => ([(1,4),(2,3),(5,8),(6,7),(7,9),(8,9)],10)
[2,3,1,5,4,7,6,9,8,10] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[1,3,2,5,4,7,6,9,8,10] => ([(2,9),(3,8),(4,7),(5,6)],10)
[3,4,1,2,5,6,7,8,9,10] => ([(6,8),(6,9),(7,8),(7,9)],10)
[3,2,1,4,5,6,7,8,9,10] => ([(7,8),(7,9),(8,9)],10)
[4,5,6,1,2,3,7,8,9,10] => ([(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,2,5,1,3,6,7,8,9,10] => ([(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[4,3,2,1,5,6,7,8,9,10] => ([(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,7,8,1,2,3,4,9,10] => ([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[5,2,6,7,1,3,4,8,9,10] => ([(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(7,8),(8,9)],10)
[5,6,3,4,1,2,7,8,9,10] => ([(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,3,2,6,1,4,7,8,9,10] => ([(4,5),(4,9),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,1,6,7,8,9,10] => ([(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,2,7,8,9,1,3,4,5,10] => ([(1,8),(1,9),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[6,7,3,4,8,1,2,5,9,10] => ([(2,3),(2,8),(2,9),(3,6),(3,7),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[6,3,2,7,8,1,4,5,9,10] => ([(2,4),(2,5),(2,9),(3,4),(3,5),(3,9),(4,8),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,4,7,2,5,1,3,8,9,10] => ([(3,4),(3,6),(3,7),(3,9),(4,5),(4,7),(4,8),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,4,3,2,7,1,5,8,9,10] => ([(3,4),(3,9),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,2,1,7,8,9,10] => ([(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,3,4,9,10,1,2,5,6] => ([(0,2),(0,3),(0,8),(0,9),(1,2),(1,3),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,9,4,5,6,1,2,3,10] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,4,3,2,8,9,1,5,6,10] => ([(1,3),(1,4),(1,9),(2,3),(2,4),(2,9),(3,8),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,5,6,3,4,1,2,9,10] => ([(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,5,3,8,2,6,1,4,9,10] => ([(2,3),(2,4),(2,8),(2,9),(3,4),(3,7),(3,9),(4,6),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,4,3,2,8,1,6,9,10] => ([(2,3),(2,9),(3,8),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,2,1,8,9,10] => ([(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,9,10,2,6,7,1,3,4] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[8,5,3,9,2,6,10,1,4,7] => ([(0,1),(0,7),(0,9),(1,6),(1,8),(2,4),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[8,6,9,4,7,2,5,1,3,10] => ([(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,4,3,9,2,7,1,5,10] => ([(1,2),(1,3),(1,8),(1,9),(2,3),(2,7),(2,9),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,5,4,3,2,9,1,7,10] => ([(1,2),(1,9),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,4,3,2,1,9,10] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,4,3,10,2,8,1,6] => ([(0,1),(0,2),(0,8),(0,9),(1,2),(1,7),(1,9),(2,6),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,1,4,5,6,7,8,9,10] => ([(7,9),(8,9)],10)
[2,3,4,1,5,6,7,8,9,10] => ([(6,9),(7,9),(8,9)],10)
[2,3,4,5,1,6,7,8,9,10] => ([(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,1,7,8,9,10] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,7,1,8,9,10] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,7,8,1,9,10] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,4,1,5,6,7,8,9,10,2] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,5,6,1,7,8,9,10,2] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,5,6,7,8,9,1,10,2] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,8,7,6,5,4,3,1,10,2] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,10,7,6,5,4,3,2,1,9] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,8,7,6,5,4,3,10,9,2] => ([(1,2),(1,9),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,10,9,7,6,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,10,9,8,6,5,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,10,9,8,7,5,4,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,10,9,8,7,6,4,3,2,1] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,10,9,8,7,6,5,3,2,1] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,10,9,8,7,6,5,4,2,1] => ([(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,9,8,7,6,5,4,3,1] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,7,10,8,9] => ([(7,9),(8,9)],10)
[1,2,3,4,5,6,10,7,8,9] => ([(6,9),(7,9),(8,9)],10)
[1,2,3,4,5,10,6,7,8,9] => ([(5,9),(6,9),(7,9),(8,9)],10)
[1,2,3,4,10,5,6,7,8,9] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,2,3,10,4,5,6,7,8,9] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,2,10,3,4,5,6,7,8,9] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[5,4,3,2,1,10,9,8,7,6] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,5,6,7,8,9,10,2,1] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,10,9,5,6,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,5,6,8,7,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,8,10,6,9,7,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,6,7,10,9,8,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,7,8,3,4,6,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,10,9,3,4,6,5,1,2] => ([(0,2),(0,3),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,3,6,8,4,7,5,1,2] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,8,10,6,9,4,7,5,1,2] => ([(0,8),(0,9),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,6,7,10,9,4,8,5,1,2] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,3,4,5,8,7,6,1,2] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,8,10,4,5,9,7,6,1,2] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,7,10,5,9,8,6,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,3),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,5,6,10,9,8,7,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,7,8,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,10,9,5,6,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,5,6,8,7,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[5,8,10,6,9,7,1,2,4,3] => ([(0,4),(0,5),(0,8),(0,9),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,7,10,9,8,1,2,4,3] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(8,9)],10)
[9,10,7,8,1,4,6,2,5,3] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,10,9,1,4,6,2,5,3] => ([(0,4),(0,5),(0,8),(0,9),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,1,6,8,4,7,2,5,3] => ([(0,8),(0,9),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,10,6,9,4,7,2,5,3] => ([(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,6,7,10,9,4,8,2,5,3] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(8,9)],10)
[9,10,1,4,5,8,7,2,6,3] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,10,4,5,9,7,2,6,3] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[1,4,7,10,5,9,8,2,6,3] => ([(1,8),(1,9),(2,3),(2,6),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[1,4,5,6,10,9,8,2,7,3] => ([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,7,8,1,2,3,6,5,4] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,10,9,1,2,3,6,5,4] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(8,9)],10)
[9,10,1,6,8,2,3,7,5,4] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,10,6,9,2,3,7,5,4] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(8,9)],10)
[1,6,7,10,9,2,3,8,5,4] => ([(1,3),(1,4),(1,8),(1,9),(2,3),(2,4),(2,8),(2,9),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,1,2,5,8,3,7,6,4] => ([(0,8),(0,9),(1,8),(1,9),(2,3),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,10,2,5,9,3,7,6,4] => ([(1,8),(1,9),(2,3),(2,6),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[1,2,7,10,5,9,3,8,6,4] => ([(2,3),(2,4),(2,8),(2,9),(3,4),(3,7),(3,9),(4,6),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,5,6,10,9,3,8,7,4] => ([(2,6),(2,9),(3,6),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[9,10,1,2,3,4,8,7,6,5] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,10,2,3,4,9,7,6,5] => ([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,7,10,3,4,9,8,6,5] => ([(2,6),(2,9),(3,6),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[1,2,3,6,10,4,9,8,7,5] => ([(3,4),(3,9),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,10,9,8,7,6] => ([(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,7,6,5,9,8,10] => ([(1,2),(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,3,2,1,6,5,4,9,8,10] => ([(1,2),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,6),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,9,6,5,8,7,10] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],10)
[6,3,2,1,9,5,4,8,7,10] => ([(1,2),(1,8),(2,8),(3,4),(3,5),(3,9),(4,5),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,3,2,1,8,5,4,7,6,10] => ([(1,2),(1,3),(1,9),(2,3),(2,9),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,2,1,9,4,3,8,7,10] => ([(1,2),(1,7),(2,7),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[9,5,2,1,8,4,3,7,6,10] => ([(1,2),(1,8),(1,9),(2,8),(2,9),(3,4),(3,7),(3,9),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,3,2,1,7,6,5,10,8,9] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,3,2,1,6,5,4,10,8,9] => ([(0,2),(1,2),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,6),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,8,6,5,10,7,9] => ([(0,4),(1,4),(1,9),(2,3),(2,9),(3,9),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],10)
[6,3,2,1,8,5,4,10,7,9] => ([(0,2),(1,2),(1,8),(3,4),(3,5),(3,9),(4,5),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,3,2,1,7,5,4,10,6,9] => ([(0,1),(1,7),(2,3),(2,4),(2,9),(3,4),(3,9),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,2,1,8,4,3,10,7,9] => ([(0,2),(1,2),(1,5),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,2,1,7,4,3,10,6,9] => ([(0,1),(1,4),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,10,6,5,9,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,3),(2,9),(3,9),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7),(8,9)],10)
[6,3,2,1,10,5,4,9,7,8] => ([(0,7),(0,9),(1,7),(1,9),(2,3),(2,4),(2,8),(3,4),(3,8),(4,8),(5,6),(5,8),(5,9),(6,8),(6,9),(7,9)],10)
[7,3,2,1,10,5,4,9,6,8] => ([(0,7),(0,8),(1,2),(1,3),(1,9),(2,3),(2,9),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8)],10)
[10,3,2,1,9,5,4,8,6,7] => ([(0,1),(0,2),(0,9),(1,2),(1,9),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,2,1,10,4,3,9,7,8] => ([(0,4),(0,9),(1,4),(1,9),(2,3),(2,7),(2,8),(3,7),(3,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8)],10)
[7,5,2,1,10,4,3,9,6,8] => ([(0,4),(0,8),(1,4),(1,8),(1,9),(2,3),(2,7),(2,9),(3,7),(3,9),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[10,5,2,1,9,4,3,8,6,7] => ([(0,1),(0,7),(0,9),(1,7),(1,9),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,3,2,1,8,7,5,10,6,9] => ([(0,2),(1,8),(1,9),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(8,9)],10)
[5,3,2,1,8,7,4,10,6,9] => ([(0,1),(1,8),(2,3),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,9),(5,6),(5,9),(6,9),(7,9)],10)
[8,3,2,1,7,6,4,10,5,9] => ([(0,1),(1,8),(2,3),(2,4),(2,9),(3,4),(3,9),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,2,1,8,7,3,10,6,9] => ([(0,1),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,8),(4,9),(5,8),(5,9),(7,8),(7,9),(8,9)],10)
[8,4,2,1,7,6,3,10,5,9] => ([(0,1),(1,8),(2,3),(2,7),(2,9),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[4,3,2,1,10,7,5,9,6,8] => ([(0,8),(0,9),(1,7),(1,9),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[5,3,2,1,10,7,4,9,6,8] => ([(0,7),(0,9),(1,2),(1,6),(1,9),(2,7),(2,9),(3,4),(3,5),(3,8),(4,5),(4,8),(5,8),(6,8),(6,9),(7,9)],10)
[7,3,2,1,10,6,4,9,5,8] => ([(0,5),(0,8),(1,2),(1,3),(1,9),(2,3),(2,9),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,3,2,1,9,6,4,8,5,7] => ([(0,1),(0,2),(0,9),(1,2),(1,9),(2,9),(3,6),(3,8),(3,9),(4,5),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,2,1,10,7,3,9,6,8] => ([(0,5),(0,9),(1,2),(1,5),(1,9),(2,8),(2,9),(3,4),(3,6),(3,7),(4,6),(4,7),(5,9),(6,7),(6,8),(7,8),(8,9)],10)
[7,4,2,1,10,6,3,9,5,8] => ([(0,3),(0,8),(1,2),(1,7),(1,9),(2,7),(2,9),(3,6),(3,8),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,9)],10)
[10,4,2,1,9,6,3,8,5,7] => ([(0,6),(0,8),(0,9),(1,2),(1,7),(1,9),(2,7),(2,9),(3,4),(3,5),(3,8),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[7,6,2,1,10,5,3,9,4,8] => ([(0,3),(0,7),(1,2),(1,8),(1,9),(2,8),(2,9),(3,5),(3,7),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[10,6,2,1,9,5,3,8,4,7] => ([(0,1),(0,7),(0,9),(1,7),(1,9),(2,3),(2,8),(2,9),(3,5),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[5,4,3,1,8,7,2,10,6,9] => ([(0,1),(1,5),(2,3),(2,5),(2,9),(3,5),(3,9),(4,6),(4,7),(4,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,4,3,1,7,6,2,10,5,9] => ([(0,1),(1,7),(2,5),(2,6),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[5,4,3,1,10,7,2,9,6,8] => ([(0,4),(0,9),(1,2),(1,4),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(8,9)],10)
[7,4,3,1,10,6,2,9,5,8] => ([(0,2),(0,8),(1,5),(1,6),(1,9),(2,3),(2,8),(3,4),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[10,4,3,1,9,6,2,8,5,7] => ([(0,5),(0,6),(0,9),(1,4),(1,8),(1,9),(2,3),(2,4),(2,8),(2,9),(3,7),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,3,1,10,5,2,9,4,8] => ([(0,2),(0,7),(1,3),(1,8),(1,9),(2,5),(2,7),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[10,6,3,1,9,5,2,8,4,7] => ([(0,3),(0,8),(0,9),(1,2),(1,7),(1,9),(2,5),(2,7),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,3,1,2,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,1,5,2,7,4,9,6,8] => ([(0,8),(0,9),(1,7),(1,9),(2,3),(2,4),(2,9),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[10,9,4,1,6,2,8,3,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,5,1,7,2,3,4,6] => ([(0,6),(0,7),(0,8),(0,9),(1,5),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,4,3,2,10,1,9] => ([(0,1),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,10,2,9,1,8] => ([(0,1),(0,2),(1,2),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,2,9,1,8,10] => ([(1,2),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,10,3,9,2,8,1,7] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(1,9),(2,3),(2,4),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,9,2,8,1,7,10] => ([(1,2),(1,3),(2,3),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,2,8,10,1,7,9] => ([(0,3),(1,2),(1,9),(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,2,8,1,7,9,10] => ([(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,10,4,9,3,8,2,7,1,6] => ([(0,3),(0,5),(0,7),(0,9),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,9,3,8,2,7,1,6,10] => ([(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(2,9),(3,5),(3,7),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,8,2,7,10,1,6,9] => ([(0,3),(1,2),(1,3),(1,7),(2,7),(2,9),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,8,2,7,1,6,9,10] => ([(2,3),(2,7),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,7,9,1,6,8,10] => ([(1,4),(2,3),(2,9),(3,4),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,7,1,6,8,9,10] => ([(3,4),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,8,3,7,2,6,10,1,5,9] => ([(0,2),(1,5),(1,7),(1,9),(2,3),(2,9),(3,4),(3,6),(3,8),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,8,3,7,2,6,1,5,9,10] => ([(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,7,10,2,6,9,1,5,8] => ([(0,6),(0,8),(1,2),(1,7),(1,9),(2,7),(2,9),(3,4),(3,5),(3,6),(3,8),(4,5),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,7,2,6,9,1,5,8,10] => ([(1,6),(2,5),(2,6),(2,8),(3,4),(3,7),(3,9),(4,7),(4,9),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,7,2,6,1,5,8,9,10] => ([(3,6),(3,8),(4,5),(4,7),(4,9),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,6,8,10,1,5,7,9] => ([(0,8),(1,7),(1,9),(2,6),(2,8),(3,4),(3,5),(3,9),(4,5),(4,9),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[4,3,2,6,8,1,5,7,9,10] => ([(2,8),(3,4),(3,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[4,3,2,6,1,5,7,8,9,10] => ([(4,5),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,6,9,2,5,8,1,4,7,10] => ([(1,7),(1,9),(2,6),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,6,2,5,8,10,1,4,7,9] => ([(0,8),(1,4),(1,8),(2,5),(2,9),(3,6),(3,7),(3,9),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[3,6,2,5,8,1,4,7,9,10] => ([(2,7),(3,6),(3,9),(4,5),(4,7),(4,8),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[3,6,2,5,1,4,7,8,9,10] => ([(4,7),(4,9),(5,6),(5,8),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,5,7,9,1,4,6,8,10] => ([(1,8),(2,3),(2,9),(3,9),(4,7),(4,9),(5,6),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[3,2,5,7,1,4,6,8,9,10] => ([(3,8),(4,5),(4,9),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[3,2,5,1,4,6,7,8,9,10] => ([(5,8),(6,7),(6,9),(7,9),(8,9)],10)
[2,4,6,8,1,3,5,7,9,10] => ([(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[2,4,6,1,3,5,7,8,9,10] => ([(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[2,4,1,3,5,6,7,8,9,10] => ([(6,9),(7,8),(8,9)],10)
[9,7,6,5,4,3,2,1,10,8] => ([(0,1),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,4,5,9,2,3,6,10,1] => ([(0,9),(1,2),(1,7),(1,8),(1,9),(2,5),(2,6),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,10,7,9,5,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,6,8,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,10,6,9,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,10,6,9,5,8,3,4,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,7,8,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,10,7,9,4,6,3,5,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,6,8,4,7,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,10,6,9,4,7,3,5,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,10,6,9,4,8,3,5,1,2] => ([(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,10,5,8,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,10,5,9,4,7,3,6,1,2] => ([(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,10,5,9,4,8,3,6,1,2] => ([(0,1),(0,3),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,10,5,9,4,8,3,7,1,2] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,7,8,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,10,7,9,5,6,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,6,8,5,7,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,10,6,9,5,7,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,10,6,9,5,8,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,7,8,4,6,2,5,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,10,7,9,4,6,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,6,8,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,10,6,9,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,10,6,9,4,8,2,5,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[9,10,5,8,4,7,2,6,1,3] => ([(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,10,5,9,4,7,2,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[7,10,5,9,4,8,2,6,1,3] => ([(0,2),(0,3),(0,4),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,10,5,9,4,8,2,7,1,3] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(1,3),(1,5),(1,7),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[9,10,7,8,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,10,7,9,3,6,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,6,8,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,10,6,9,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[7,10,6,9,3,8,2,5,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,9),(1,2),(1,4),(1,5),(1,6),(1,8),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,5,8,3,7,2,6,1,4] => ([(0,1),(0,3),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,10,5,9,3,7,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,10,5,9,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,5),(0,7),(0,9),(1,2),(1,3),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,10,5,9,3,8,2,7,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,10,4,9,3,7,2,6,1,5] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(1,3),(1,5),(1,7),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[7,10,4,9,3,8,2,6,1,5] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,10,4,9,3,8,2,7,1,5] => ([(0,1),(0,3),(0,5),(0,7),(0,9),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,5,6,7,8,9,1,2,10] => ([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,4,5,6,7,8,9,10,2,3] => ([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,7,8,5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,7,8,5,3,6,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,7,5,8,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,10,5,8,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,9,5,8,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,9,5,7,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,9,6,7,3,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,8,9,6,7,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,6,5,4,3,2,1,10,9,8] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,2,1,9,8,10] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,2,1,9,8,7,10] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,2,1,8,7,9,10] => ([(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,1,9,8,7,6,10] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,1,8,7,6,10,9] => ([(0,1),(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,1,8,7,6,9,10] => ([(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,1,7,6,9,8,10] => ([(1,4),(2,3),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,1,7,6,8,9,10] => ([(3,4),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,8,7,6,5,9,10] => ([(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(8,9)],10)
[4,3,2,1,7,6,5,10,9,8] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,7,6,5,8,9,10] => ([(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,6,5,8,7,9,10] => ([(2,5),(3,4),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,2,1,6,5,7,8,9,10] => ([(4,5),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,1,6,5,4,9,8,7,10] => ([(1,8),(1,9),(2,6),(2,7),(3,4),(3,5),(4,5),(6,7),(8,9)],10)
[3,2,1,6,5,4,8,7,10,9] => ([(0,3),(1,2),(4,8),(4,9),(5,6),(5,7),(6,7),(8,9)],10)
[3,2,1,6,5,4,8,7,9,10] => ([(2,3),(4,8),(4,9),(5,6),(5,7),(6,7),(8,9)],10)
[3,2,1,6,5,4,7,8,9,10] => ([(4,8),(4,9),(5,6),(5,7),(6,7),(8,9)],10)
[3,2,1,5,4,7,6,9,8,10] => ([(1,6),(2,5),(3,4),(7,8),(7,9),(8,9)],10)
[3,2,1,5,4,7,6,8,9,10] => ([(3,6),(4,5),(7,8),(7,9),(8,9)],10)
[3,2,1,5,4,6,7,8,9,10] => ([(5,6),(7,8),(7,9),(8,9)],10)
[2,1,4,3,6,5,8,7,9,10] => ([(2,9),(3,8),(4,7),(5,6)],10)
[2,1,4,3,6,5,7,8,9,10] => ([(4,9),(5,8),(6,7)],10)
[2,1,4,3,5,6,7,8,9,10] => ([(6,9),(7,8)],10)
[3,1,4,2,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10)
[3,1,5,2,6,4,8,7,10,9] => ([(0,3),(1,2),(4,7),(5,6),(6,8),(7,9),(8,9)],10)
[3,1,5,2,7,4,8,6,10,9] => ([(0,9),(1,8),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,1,5,2,7,4,9,6,10,8] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,1,5,2,7,4,9,6,8,10] => ([(1,9),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,1,2,5,4,7,6,9,8,10] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[4,5,6,7,8,9,10,1,2,3] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,5,6,7,8,9,10,2,3,1] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[5,6,7,8,9,10,1,2,3,4] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[5,6,7,8,9,10,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,9,10,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,9,10,5,6,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,10,5,6,7,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[9,7,5,3,1,10,8,6,4,2] => ([(0,3),(0,5),(0,7),(0,9),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,5,3,1,10,9,6,4,2] => ([(0,1),(0,4),(0,6),(0,9),(1,4),(1,6),(1,9),(2,3),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,5,3,1,10,8,7,4,2] => ([(0,2),(0,3),(0,7),(0,8),(1,4),(1,5),(1,6),(1,9),(2,3),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,5,3,1,10,9,7,4,2] => ([(0,1),(0,3),(0,7),(0,9),(1,3),(1,7),(1,9),(2,4),(2,5),(2,6),(2,8),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,3,1,10,9,8,4,2] => ([(0,1),(0,2),(0,8),(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,4,3,1,10,8,6,5,2] => ([(0,2),(0,3),(0,7),(0,8),(1,4),(1,5),(1,6),(1,9),(2,3),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,4,3,1,10,9,6,5,2] => ([(0,1),(0,5),(0,6),(0,9),(1,5),(1,6),(1,9),(2,3),(2,4),(2,7),(2,8),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,4,3,1,10,8,7,5,2] => ([(0,4),(0,5),(0,7),(0,9),(1,2),(1,3),(1,6),(1,8),(2,3),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,4,3,1,10,9,7,5,2] => ([(0,1),(0,3),(0,6),(0,9),(1,3),(1,6),(1,9),(2,4),(2,5),(2,7),(2,8),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,4,3,1,10,9,8,5,2] => ([(0,1),(0,2),(0,6),(0,9),(1,2),(1,6),(1,9),(2,6),(2,9),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,4,3,1,10,8,7,6,2] => ([(0,5),(0,6),(0,7),(0,9),(1,2),(1,3),(1,4),(1,8),(2,3),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,4,3,1,10,9,7,6,2] => ([(0,3),(0,4),(0,5),(0,8),(1,2),(1,6),(1,7),(1,9),(2,6),(2,7),(2,9),(3,4),(3,5),(3,8),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,4,3,1,10,9,8,6,2] => ([(0,1),(0,2),(0,4),(0,9),(1,2),(1,4),(1,9),(2,4),(2,9),(3,5),(3,6),(3,7),(3,8),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,1,10,9,8,7,2] => ([(0,1),(0,2),(0,3),(0,9),(1,2),(1,3),(1,9),(2,3),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,2,1,10,8,6,4,3] => ([(0,1),(0,4),(0,6),(0,9),(1,4),(1,6),(1,9),(2,3),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,5,2,1,10,9,6,4,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,5,2,1,10,8,7,4,3] => ([(0,1),(0,5),(0,6),(0,9),(1,5),(1,6),(1,9),(2,3),(2,4),(2,7),(2,8),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,5,2,1,10,9,7,4,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,2,1,10,9,8,4,3] => ([(0,1),(0,2),(0,8),(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,4,2,1,10,8,6,5,3] => ([(0,1),(0,3),(0,7),(0,9),(1,3),(1,7),(1,9),(2,4),(2,5),(2,6),(2,8),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,4,2,1,10,9,6,5,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,4,2,1,10,8,7,5,3] => ([(0,1),(0,3),(0,6),(0,9),(1,3),(1,6),(1,9),(2,4),(2,5),(2,7),(2,8),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,4,2,1,10,9,7,5,3] => ([(0,1),(0,5),(0,6),(0,8),(1,5),(1,6),(1,8),(2,3),(2,4),(2,7),(2,9),(3,4),(3,7),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,4,2,1,10,9,8,5,3] => ([(0,1),(0,2),(0,6),(0,9),(1,2),(1,6),(1,9),(2,6),(2,9),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,4,2,1,10,8,7,6,3] => ([(0,3),(0,4),(0,5),(0,8),(1,2),(1,6),(1,7),(1,9),(2,6),(2,7),(2,9),(3,4),(3,5),(3,8),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,4,2,1,10,9,7,6,3] => ([(0,1),(0,4),(0,5),(0,9),(1,4),(1,5),(1,9),(2,3),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,4,2,1,10,9,8,6,3] => ([(0,1),(0,2),(0,5),(0,9),(1,2),(1,5),(1,9),(2,5),(2,9),(3,4),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,2,1,10,9,8,7,3] => ([(0,1),(0,2),(0,3),(0,9),(1,2),(1,3),(1,9),(2,3),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,3,2,1,10,8,6,5,4] => ([(0,1),(0,2),(0,8),(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,3,2,1,10,9,6,5,4] => ([(0,1),(0,2),(0,8),(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,3,2,1,10,8,7,5,4] => ([(0,1),(0,2),(0,6),(0,9),(1,2),(1,6),(1,9),(2,6),(2,9),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,3,2,1,10,9,7,5,4] => ([(0,1),(0,2),(0,6),(0,9),(1,2),(1,6),(1,9),(2,6),(2,9),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,3,2,1,10,9,8,5,4] => ([(0,1),(0,2),(0,7),(0,8),(1,2),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,3,2,1,10,8,7,6,4] => ([(0,1),(0,2),(0,4),(0,9),(1,2),(1,4),(1,9),(2,4),(2,9),(3,5),(3,6),(3,7),(3,8),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,3,2,1,10,9,7,6,4] => ([(0,1),(0,2),(0,5),(0,9),(1,2),(1,5),(1,9),(2,5),(2,9),(3,4),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,3,2,1,10,9,8,6,4] => ([(0,1),(0,2),(0,7),(0,8),(1,2),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,6),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,3,2,1,10,9,8,7,4] => ([(0,1),(0,2),(0,3),(0,9),(1,2),(1,3),(1,9),(2,3),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[9,4,3,2,1,10,8,7,6,5] => ([(0,1),(0,2),(0,3),(0,9),(1,2),(1,3),(1,9),(2,3),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,4,3,2,1,10,9,7,6,5] => ([(0,1),(0,2),(0,3),(0,9),(1,2),(1,3),(1,9),(2,3),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,3,2,1,10,9,8,6,5] => ([(0,1),(0,2),(0,3),(0,9),(1,2),(1,3),(1,9),(2,3),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[6,4,3,2,1,10,9,8,7,5] => ([(0,1),(0,2),(0,3),(0,9),(1,2),(1,3),(1,9),(2,3),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(8,9)],10)
[6,1,7,2,8,3,9,4,10,5] => ([(0,9),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[6,1,7,8,9,10,2,3,4,5] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[10,9,8,7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,6,5,4,3,2,1,7] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,7,6,5,4,3,2,1,9] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,1,2,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,10,1,2,3,4,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,1,2,3,4,5,6,8,9] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,10,1,2,3,4,5,6,7,9] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,10,1,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[4,3,1,10,2,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8)],10)
[8,9,1,2,3,4,5,6,10,7] => ([(0,7),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,8,7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,4,7,3,6,1,2,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,4,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,9,4,8,3,7,1,2,6] => ([(0,3),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,5,8,2,4,7,1,3,6] => ([(0,5),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,5,8,4,7,1,2,3,6] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,3,5,7,1,2,4,6] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,5,7,1,2,3,4,6] => ([(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,10,5,9,2,4,8,1,3,7] => ([(0,3),(0,8),(0,9),(1,2),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,10,5,9,4,8,1,2,3,7] => ([(0,6),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,6,9,2,5,8,1,4,7] => ([(0,6),(0,8),(0,9),(1,5),(1,7),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,9,3,5,8,1,2,4,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,9,5,8,1,2,3,4,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,2,4,6,8,1,3,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,4,6,8,1,2,3,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,6,8,1,2,3,4,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,7,10,3,6,9,1,2,5,8] => ([(0,6),(0,9),(1,5),(1,7),(1,8),(2,3),(2,4),(2,6),(2,9),(3,4),(3,5),(3,7),(3,8),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,10,2,4,6,9,1,3,5,8] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[7,10,4,6,9,1,2,3,5,8] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,9),(8,9)],10)
[7,10,6,9,1,2,3,4,5,8] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,9),(8,9)],10)
[10,3,5,7,9,1,2,4,6,8] => ([(0,8),(0,9),(1,6),(1,7),(1,9),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,7,9,1,2,3,4,6,8] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[10,7,9,1,2,3,4,5,6,8] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,6,8,10,1,2,3,5,7,9] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[6,8,10,1,2,3,4,5,7,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,7,6,5,4,3,2,1,9,8] => ([(0,1),(0,9),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,4,3,2,10,9,1] => ([(0,1),(0,9),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,5,6,7,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,8,9,6,7,10,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,7,8,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,3,6,7,4,5,8,1,2] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,8,9,6,7,4,5,10,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,6,7,8,9,4,5,10,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,3,4,5,6,7,8,1,2] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,8,9,4,5,6,7,10,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,7,8,5,6,9,10,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,9,10,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,8,9,6,7,10,1,2,3,4] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[9,10,7,8,1,4,5,2,3,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,9,10,1,4,5,2,3,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[9,10,1,6,7,4,5,2,3,8] => ([(0,8),(0,9),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,9,6,7,4,5,2,3,10] => ([(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,6,7,8,9,4,5,2,3,10] => ([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,1,4,5,6,7,2,3,8] => ([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,9,4,5,6,7,2,3,10] => ([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,4,7,8,5,6,9,2,3,10] => ([(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,4,5,6,7,8,9,2,3,10] => ([(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,1,6,7,2,3,4,5,8] => ([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,9,6,7,2,3,4,5,10] => ([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,6,7,8,9,2,3,4,5,10] => ([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[9,10,1,2,5,6,3,4,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,9,2,5,6,3,4,7,10] => ([(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,7,8,5,6,3,4,9,10] => ([(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,5,6,7,8,3,4,9,10] => ([(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,9,2,3,4,5,6,7,10] => ([(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,7,8,3,4,5,6,9,10] => ([(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,3,6,7,4,5,8,9,10] => ([(6,8),(6,9),(7,8),(7,9)],10)
[9,8,7,6,4,5,3,2,1,10] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,9,6,5,4,3,2,1,10] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,9,5,4,3,2,1,10] => ([(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,10,4,3,2,1,9] => ([(0,1),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,4,9,3,2,1,10] => ([(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,4,3,9,2,1,10] => ([(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,10,9,6,5,4,3,2,1,8] => ([(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,9,10,5,4,3,2,1,7] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,5,9,10,4,3,2,1,6] => ([(0,1),(0,2),(0,4),(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,4,10,9,3,2,1,5] => ([(0,1),(0,2),(0,7),(0,8),(0,9),(1,2),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,3,9,10,2,1,4] => ([(0,3),(0,8),(0,9),(1,3),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,4,2,9,10,1,3] => ([(0,8),(0,9),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,7,6,5,4,3,1,10,9,2] => ([(0,1),(0,9),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,7,10,1,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[2,10,9,8,7,6,5,4,1,3] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,10,8,7,6,5,4,3,2] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,2,3,4,5,6,10,7,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,2,1,8,7,6,5,4,3,10] => ([(1,2),(1,9),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,9,8,7,6,5,4,1,10] => ([(1,2),(1,9),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,3,1,8,7,6,5,4,10,2] => ([(0,9),(1,2),(1,8),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,2,10,1,7,6,5,4,3,8] => ([(0,8),(0,9),(1,2),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,2,9,8,7,6,5,10,1,3] => ([(0,8),(0,9),(1,2),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,10,2,8,7,6,5,4,1,9] => ([(0,9),(1,2),(1,8),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,5,4,3,1,2,10] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,8,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,10,9,8,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,1,10,9,8,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,10,9,8,7,6,5,4] => ([(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,10,9,8,7,6,5] => ([(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,10,9,8,7] => ([(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,7,10,9,8] => ([(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,3,2,1,6,5,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,4,3,2,1,8,7,6,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,8),(1,9),(2,3),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,4,3,1,7,6,2,5] => ([(0,4),(0,5),(0,7),(0,8),(0,9),(1,2),(1,3),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,2,1,4,3,6,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,4,1,6,2,3,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,4,3,1,9,8,7,2,6] => ([(0,5),(0,6),(0,7),(0,9),(1,2),(1,3),(1,4),(1,9),(2,3),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,5,2,1,8,4,3,7,6] => ([(0,1),(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,5,4,1,8,7,2,3,6] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,3,1,5,2,7,4,6] => ([(0,6),(0,7),(0,8),(0,9),(1,5),(1,7),(1,8),(1,9),(2,3),(2,4),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,2,1,10,9,4,3,8,7] => ([(0,3),(0,8),(0,9),(1,2),(1,6),(1,7),(2,6),(2,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(8,9)],10)
[6,5,4,1,10,9,8,2,3,7] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,3,2,1,6,5,4,9,8,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,9),(2,3),(2,4),(2,9),(3,4),(3,9),(4,9),(5,6),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,5,1,9,8,2,3,4,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,2,1,4,3,6,5,8,7] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,8),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,6,1,8,2,3,4,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,1,7,6,2,10,9,5,8] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(5,8),(6,7),(6,9),(7,9)],10)
[7,2,1,10,4,3,6,5,9,8] => ([(0,1),(0,9),(1,9),(2,3),(2,8),(3,8),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,4,1,10,6,2,9,3,5,8] => ([(0,5),(0,9),(1,4),(1,8),(2,4),(2,6),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,7),(4,8),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,6,1,10,9,2,3,4,5,8] => ([(0,8),(0,9),(1,6),(1,7),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(8,9)],10)
[10,5,1,7,2,9,3,4,6,8] => ([(0,8),(0,9),(1,7),(1,9),(2,6),(2,7),(2,9),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[10,7,1,9,2,3,4,5,6,8] => ([(0,8),(0,9),(1,7),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,1,6,2,8,3,10,5,7,9] => ([(0,9),(1,8),(2,6),(2,8),(3,7),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,9)],10)
[6,1,8,2,10,3,4,5,7,9] => ([(0,9),(1,8),(2,7),(2,8),(3,7),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,1,10,2,3,4,5,6,7,9] => ([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,1,9,8,7,6,5,4,3,2] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,1,10,9,7,6,5,4,3,2] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,1,10,9,8,6,5,4,3,2] => ([(0,1),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,1,10,9,8,7,5,4,3,2] => ([(0,1),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,1,10,9,8,7,6,4,3,2] => ([(0,1),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,10,9,8,7,6,5,3,2] => ([(0,1),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,10,9,8,7,6,5,4,2] => ([(0,1),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,3,4,5,6,7,9,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,7,8,10,9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,6,5,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,10,5,8,3,6,2,4,1] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,3,2,5,4,7,6,9,8] => ([(0,9),(1,8),(1,9),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,1,2,3,4,6,7,8,9,5] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,8,9,1,2,3,4,5,10] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[1,7,8,9,10,2,3,4,5,6] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[5,6,7,8,9,1,2,3,4,10] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[1,6,7,8,9,10,2,3,4,5] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[1,2,4,3,5,6,7,8,9,10] => ([(8,9)],10)
[1,2,4,6,8,10,9,7,5,3] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,1,5,6,7,8,9,10,3] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10)
[2,3,4,5,6,7,9,1,10,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10)
[2,3,5,1,6,7,8,9,10,4] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(7,9)],10)
[2,3,4,5,6,8,1,9,10,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(7,9)],10)
[2,3,4,6,1,7,8,9,10,5] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(7,9)],10)
[2,3,4,5,7,1,8,9,10,6] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(7,9)],10)
[4,1,2,5,6,7,8,9,10,3] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[4,3,1,5,6,7,8,10,2,9] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[2,6,1,5,3,7,8,9,10,4] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[5,3,4,1,6,7,9,2,10,8] => ([(0,9),(1,9),(2,3),(3,4),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,8,1,6,7,4,9,10,5] => ([(0,8),(1,8),(2,4),(3,4),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[6,3,4,5,1,8,2,9,10,7] => ([(0,6),(1,6),(2,6),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(7,8),(8,9)],10)
[2,3,4,10,1,7,8,9,5,6] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[9,2,1,3,4,5,6,7,8,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,2,4,6,10,1,3,5,9] => ([(0,4),(1,7),(1,8),(1,9),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,7,9,4,6,8,1,3,5] => ([(0,8),(1,2),(1,5),(1,7),(1,8),(1,9),(2,4),(2,6),(2,7),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,2,4,8,10,1,3,7,9] => ([(0,5),(1,3),(1,5),(2,7),(2,8),(2,9),(3,6),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[2,8,5,7,4,6,10,1,3,9] => ([(0,9),(1,2),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,5,2,4,7,9,6,8,1,3] => ([(0,6),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,9,2,8,5,7,4,6,1,3] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,2,4,10,1,3,9] => ([(0,1),(1,4),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,2,6,5,9,4,8,1,3] => ([(0,7),(0,8),(0,9),(1,2),(1,6),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[6,10,5,9,8,7,2,4,1,3] => ([(0,1),(0,5),(0,6),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[4,10,3,9,2,6,8,1,5,7] => ([(0,4),(0,6),(0,8),(1,5),(1,7),(1,9),(2,3),(2,7),(2,8),(2,9),(3,5),(3,7),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,10,7,9,2,6,8,1,5] => ([(0,1),(0,7),(0,9),(1,7),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,6,2,5,4,8,10,1,7,9] => ([(0,7),(1,6),(1,9),(2,3),(2,7),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[3,6,10,2,5,9,4,8,1,7] => ([(0,5),(0,9),(1,4),(1,7),(1,8),(2,3),(2,5),(2,6),(2,9),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,8,2,4,7,6,10,1,9] => ([(0,2),(1,7),(1,9),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,7,10,2,4,6,9,8,1] => ([(0,7),(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,3,5,8,2,4,7,6,1] => ([(0,5),(0,7),(0,8),(0,9),(1,2),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,3,6,2,5,4,10,1,9] => ([(0,1),(1,9),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,3,5,10,2,4,9,8,1] => ([(0,1),(0,5),(0,9),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,9),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,6,10,9,8,2,5,7,4,1] => ([(0,4),(0,9),(1,3),(1,4),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,3,6,2,5,4,1] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,8,2,7,6,10,1,9] => ([(0,1),(1,9),(2,3),(2,7),(2,9),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,7,10,2,6,9,8,1] => ([(0,3),(0,8),(0,9),(1,2),(1,7),(1,9),(2,7),(2,9),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,10,4,9,3,8,2,7,6,1] => ([(0,3),(0,5),(0,7),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,8,3,7,6,5,2,10,1,9] => ([(0,1),(1,9),(2,3),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,7,3,6,5,10,2,9,8,1] => ([(0,5),(0,8),(0,9),(1,2),(1,6),(1,9),(2,6),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,6,10,3,5,9,8,7,2,1] => ([(0,6),(0,8),(0,9),(1,2),(1,6),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,4,8,3,7,6,5,2,1] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,10,2,9,8,1] => ([(0,1),(0,2),(0,9),(1,2),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,10,3,9,8,7,2,1] => ([(0,1),(0,2),(0,7),(0,8),(0,9),(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,10,4,9,8,7,6,3,2,1] => ([(0,1),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,2,3,4,5,6,7,8,1,10] => ([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,3,4,5,6,7,8,9,2] => ([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,4,5,6,7,8,3,2] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,1,2,3,4,5,6,7,10,9] => ([(0,1),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,7,9,8,1,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,4,5,6,7,8,10,9,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,10,8,9,7] => ([(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,10,7,8,9,6] => ([(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,10,6,7,8,9,5] => ([(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,10,5,6,7,8,9,4] => ([(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,10,4,5,6,7,8,9,3] => ([(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,2,3,4,5,6,7,8,9,1] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,6,8,5,7,10,9] => ([(4,9),(5,8),(6,7),(8,9)],10)
[1,2,3,4,7,5,8,6,10,9] => ([(4,9),(5,8),(6,7),(8,9)],10)
[1,2,3,5,7,4,6,9,8,10] => ([(4,9),(5,8),(6,7),(8,9)],10)
[1,2,3,6,4,7,5,9,8,10] => ([(4,9),(5,8),(6,7),(8,9)],10)
[7,10,1,2,3,4,5,6,8,9] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[6,10,1,2,3,4,5,7,8,9] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,10,1,2,3,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,10,1,2,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,9,8,7,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,9,8,6,7,5,4,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,9,8,7,6,5,4,3,2,10] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,8,9,10,1,3,4,5,6,7] => ([(0,6),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,1,9,2,10,3,4,5,6,7] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,1,8,2,9,3,10,4,5,6] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,1,6,2,7,3,8,4,10,9] => ([(0,1),(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[4,1,5,2,6,3,8,7,10,9] => ([(0,3),(1,2),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[2,1,3,4,5,6,7,9,10,8] => ([(5,9),(6,9),(7,8)],10)
[2,1,3,4,5,6,7,8,10,9] => ([(6,9),(7,8)],10)
[7,1,2,3,4,5,8,9,10,6] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[6,1,2,3,4,7,8,9,10,5] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10)
[5,1,2,3,6,7,8,9,10,4] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[9,7,5,4,3,2,1,10,8,6] => ([(0,1),(0,2),(1,2),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,5,4,3,2,1,9,7,10] => ([(1,2),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,3,2,1,10,8,6,4] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(1,9),(2,3),(2,4),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,4,3,2,1,9,7,5,10] => ([(1,2),(1,3),(2,3),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,4,3,2,1,9,6,10,7] => ([(0,3),(1,2),(1,9),(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,4,3,2,1,8,6,9,10] => ([(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,4,2,1,9,7,5,3,10] => ([(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(2,9),(3,5),(3,7),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,3,2,1,9,6,4,10,7] => ([(0,3),(1,2),(1,3),(1,7),(2,7),(2,9),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,3,2,1,8,6,4,9,10] => ([(2,3),(2,7),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,3,2,1,8,5,9,6,10] => ([(1,4),(2,3),(2,9),(3,4),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,4,3,2,1,7,5,8,9,10] => ([(3,4),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,3,1,9,6,4,2,10,7] => ([(0,2),(1,5),(1,7),(1,9),(2,3),(2,9),(3,4),(3,6),(3,8),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,3,1,8,6,4,2,9,10] => ([(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,2,1,9,6,3,10,7,4] => ([(0,6),(0,8),(1,2),(1,7),(1,9),(2,7),(2,9),(3,4),(3,5),(3,6),(3,8),(4,5),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,2,1,8,5,3,9,6,10] => ([(1,6),(2,5),(2,6),(2,8),(3,4),(3,7),(3,9),(4,7),(4,9),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[6,4,2,1,7,5,3,8,9,10] => ([(3,6),(3,8),(4,5),(4,7),(4,9),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,3,2,1,8,4,9,5,10,6] => ([(0,8),(1,7),(1,9),(2,6),(2,8),(3,4),(3,5),(3,9),(4,5),(4,9),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[6,3,2,1,7,4,8,5,9,10] => ([(2,8),(3,4),(3,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[5,3,2,1,6,4,7,8,9,10] => ([(4,5),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,1,8,5,2,9,6,3,10] => ([(1,7),(1,9),(2,6),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,3,1,8,4,2,9,5,10,6] => ([(0,8),(1,4),(1,8),(2,5),(2,9),(3,6),(3,7),(3,9),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[6,3,1,7,4,2,8,5,9,10] => ([(2,7),(3,6),(3,9),(4,5),(4,7),(4,8),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[5,3,1,6,4,2,7,8,9,10] => ([(4,7),(4,9),(5,6),(5,8),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,2,1,7,3,8,4,9,5,10] => ([(1,8),(2,3),(2,9),(3,9),(4,7),(4,9),(5,6),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[5,2,1,6,3,7,4,8,9,10] => ([(3,8),(4,5),(4,9),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[4,2,1,5,3,6,7,8,9,10] => ([(5,8),(6,7),(6,9),(7,9),(8,9)],10)
[5,1,6,2,7,3,8,4,9,10] => ([(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[4,1,5,2,6,3,7,8,9,10] => ([(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[3,1,4,2,5,6,7,8,9,10] => ([(6,9),(7,8),(8,9)],10)
[1,9,2,3,4,5,6,7,8,10] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,2,3,4,5,6,7,9,8,10] => ([(8,9)],10)
[10,3,4,5,6,7,8,9,1,2] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,3,4,5,6,7,8,1,10,2] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[8,3,4,5,6,7,1,9,10,2] => ([(0,9),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[7,3,4,5,6,1,8,9,10,2] => ([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[6,3,4,5,1,7,8,9,10,2] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[5,3,4,1,6,7,8,9,10,2] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[4,3,1,5,6,7,8,9,10,2] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[10,9,4,5,6,7,8,1,2,3] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,8,5,6,7,1,9,2,4] => ([(0,6),(0,8),(0,9),(1,5),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,4,7,6,1,8,9,2,5] => ([(0,5),(0,8),(0,9),(1,5),(1,8),(1,9),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,4,5,1,7,8,9,2,6] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[5,3,4,1,6,10,8,9,2,7] => ([(0,9),(1,5),(1,6),(1,8),(2,3),(2,4),(2,7),(3,7),(3,9),(4,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[4,3,1,5,6,7,10,9,2,8] => ([(0,9),(1,9),(2,9),(3,7),(3,8),(4,5),(4,6),(5,6),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,4,5,6,7,8,10,2,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[9,2,3,4,5,6,7,10,1,8] => ([(0,1),(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,2,10,4,5,6,7,8,1,3] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[2,10,4,5,6,7,8,9,1,3] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[9,8,4,5,6,7,1,2,10,3] => ([(0,7),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,9,5,6,7,8,1,3,4] => ([(0,7),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,3,8,5,6,7,1,2,10,4] => ([(0,7),(1,5),(1,6),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,4,5,6,1,8,2,10,3] => ([(0,8),(1,6),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,4,9,6,7,8,1,3,5] => ([(0,8),(1,6),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,8,5,6,7,1,9,3,4] => ([(0,7),(1,5),(1,6),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,2,4,5,6,7,8,9,10] => ([(8,9)],10)
[9,2,3,4,5,6,7,8,10,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,2,3,4,5,6,7,10,9,1] => ([(0,1),(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,3,4,5,6,10,8,9,1] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[6,2,3,4,5,10,7,8,9,1] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[5,2,3,4,10,6,7,8,9,1] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[4,2,3,10,5,6,7,8,9,1] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[3,2,10,4,5,6,7,8,9,1] => ([(0,1),(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,3,4,5,6,7,8,9,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,6,7,5,8,9,1,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,4,5,7,8,6,9,10,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,3,1,8,6,4,2,10] => ([(1,4),(1,6),(1,8),(1,9),(2,3),(2,5),(2,7),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,8,6,4,2,9,7,5,3] => ([(1,4),(1,6),(1,8),(1,9),(2,3),(2,5),(2,7),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,2,4,5,6,7,8,9,10] => ([(7,9),(8,9)],10)
[9,7,6,5,4,3,2,1,8,10] => ([(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,2,4,5,6,7,8,9,1] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,2,3,4,5,6,8,7,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,2,3,4,5,6,7,9,8] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,4,5,6,7,8,10,2,9] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,3,4,5,6,7,8,9,2,10] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,2,3,4,5,6,8,10,9,7] => ([(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,7,8,10,9,6] => ([(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,7,9,10,8,6] => ([(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,7,10,9,8,6] => ([(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,6,7,8,10,9,5] => ([(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,6,7,9,10,8,5] => ([(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,6,7,10,9,8,5] => ([(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,6,8,10,9,7,5] => ([(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,6,10,9,8,7,5] => ([(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,5,6,7,9,10,8,4] => ([(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,5,6,7,10,9,8,4] => ([(3,9),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,5,6,8,9,10,7,4] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,5,6,8,10,9,7,4] => ([(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,5,6,10,9,8,7,4] => ([(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,5,7,9,10,8,6,4] => ([(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,5,7,10,9,8,6,4] => ([(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,5,10,9,8,7,6,4] => ([(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,5,7,8,10,9,6,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,5,7,9,10,8,6,3] => ([(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,5,7,10,9,8,6,3] => ([(2,9),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,5,10,9,8,7,6,3] => ([(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,6,10,9,8,7,5,3] => ([(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,10,9,8,7,6,5,3] => ([(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,5,7,9,10,8,6,4,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,5,7,10,9,8,6,4,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,5,10,9,8,7,6,4,2] => ([(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,10,9,8,7,6,5,4,2] => ([(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,8,2,3,4,5,6,10,7] => ([(0,9),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,1,2,3,4,5,6,10,8] => ([(0,7),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[2,10,1,9,3,4,5,6,7,8] => ([(0,7),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[2,10,8,1,3,4,5,6,7,9] => ([(0,9),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,4,5,6,7,9,1,2,8] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,5,7,9,1,2,4,6,8,10] => ([(1,9),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[4,1,2,3,5,6,7,8,9,10] => ([(6,9),(7,9),(8,9)],10)
[5,1,2,3,4,6,7,8,9,10] => ([(5,9),(6,9),(7,9),(8,9)],10)
[8,1,2,3,4,5,6,7,9,10] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[7,1,2,3,4,5,6,8,9,10] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[6,1,2,3,4,5,7,8,9,10] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,4,1,6,2,5,8,7,10,9] => ([(0,3),(1,2),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,8,6,4,2,1,3,5,7,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,2,1,4,3,5,7,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,4,2,1,6,3,5,7,9] => ([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,4,2,1,8,3,5,7,9] => ([(0,9),(1,6),(1,9),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,4,2,1,10,3,5,7,9] => ([(0,6),(1,6),(1,9),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(7,8),(7,9),(8,9)],10)
[8,6,4,2,9,1,3,5,7,10] => ([(1,5),(1,9),(2,5),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,4,2,7,1,3,5,8,10] => ([(1,9),(2,5),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,4,2,5,1,3,6,8,10] => ([(1,9),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,2,3,1,4,6,8,10] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,3,1,2,4,6,8,10] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,10,3,4,5,6,7,9,8] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,9,4,5,6,10,7,8] => ([(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,3,4,10,5,6,7,9,8] => ([(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,10,6,7,9,8] => ([(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,9,10,7,8] => ([(6,8),(6,9),(7,8),(7,9)],10)
[8,1,2,3,4,5,9,6,10,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[7,10,1,2,3,4,5,9,6,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[6,1,10,2,3,4,5,9,7,8] => ([(0,8),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9)],10)
[5,1,2,3,4,6,9,7,10,8] => ([(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,8)],10)
[4,1,2,3,10,5,6,9,7,8] => ([(0,9),(1,9),(2,7),(3,7),(4,7),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[3,1,2,4,5,10,6,9,7,8] => ([(2,9),(3,5),(4,5),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,2,3,4,5,7,10,6,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[9,1,2,3,5,7,10,4,6,8] => ([(0,9),(1,9),(2,9),(3,7),(3,9),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[9,1,3,5,7,10,2,4,6,8] => ([(0,9),(1,7),(1,9),(2,8),(2,9),(3,6),(3,7),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[7,8,9,6,5,4,3,2,1,10] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,8,9,5,4,3,2,1,10] => ([(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,8,9,4,3,2,1,10] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,8,9,3,2,1,10] => ([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,8,9,2,1,10] => ([(1,8),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,2,8,9,1,10] => ([(1,9),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,5,4,2,1,3,10] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,5,3,2,1,4,10] => ([(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,4,3,2,1,5,10] => ([(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,5,4,3,2,1,6,10] => ([(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,6,5,4,3,2,1,7,10] => ([(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,3,4,5,6,7,8,9,2] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,9,3,4,5,6,7,10,2,8] => ([(1,2),(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,2,3,4,5,6,1,10,8,7] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(6,7),(6,9),(7,9),(8,9)],10)
[9,1,10,4,5,6,7,8,3,2] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[8,10,3,4,5,6,7,1,9,2] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[10,6,1,2,3,4,9,5,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,7,1,2,3,4,9,5,6,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,10,1,2,3,4,8,5,6,7] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,1,5,2,3,4,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,5,3,4,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,1,2,3,10,4,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(7,9)],10)
[7,6,1,2,3,4,10,9,5,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(5,6),(5,7),(6,7),(7,8),(7,9),(8,9)],10)
[9,7,1,2,3,4,8,5,10,6] => ([(0,7),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[5,9,1,2,3,4,6,7,10,8] => ([(0,7),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9)],10)
[10,8,4,9,1,2,3,5,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[2,10,1,5,3,4,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,5,2,10,4,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,7),(6,8),(6,9),(7,8)],10)
[4,1,2,10,3,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(7,9)],10)
[9,10,1,8,7,6,5,4,3,2] => ([(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,2,5,4,7,6,9,8,1,10] => ([(1,8),(1,9),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,4,3,6,5,8,7,10,9,1] => ([(0,9),(1,8),(1,9),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,5,4,7,6,1,10,8,9] => ([(0,8),(1,8),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9)],10)
[3,2,5,4,9,8,6,7,1,10] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,5,4,1,8,6,10,7,9] => ([(0,8),(1,7),(2,7),(2,8),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9)],10)
[3,2,5,4,1,10,9,6,7,8] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[3,2,7,6,4,5,9,8,1,10] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,7,6,4,5,1,10,8,9] => ([(0,4),(1,4),(2,3),(2,9),(3,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,9,6,4,8,5,7,1,10] => ([(1,2),(1,9),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,1,6,4,8,5,10,7,9] => ([(0,9),(1,8),(2,3),(2,4),(3,4),(5,6),(5,7),(6,8),(7,9)],10)
[3,2,1,6,4,10,9,5,7,8] => ([(0,6),(1,2),(1,3),(2,3),(4,8),(4,9),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[3,2,9,8,7,4,5,6,1,10] => ([(1,2),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,1,8,7,4,5,10,6,9] => ([(0,6),(1,2),(1,3),(2,3),(4,8),(4,9),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[3,2,1,10,7,4,9,5,6,8] => ([(0,1),(0,2),(1,2),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,2,1,10,9,8,4,5,6,7] => ([(0,1),(0,2),(1,2),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,2,3,7,6,9,8,1,10] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,2,3,7,6,1,10,8,9] => ([(0,4),(1,4),(2,3),(2,9),(3,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,2,3,9,8,6,7,1,10] => ([(1,7),(1,8),(1,9),(2,5),(2,6),(2,9),(3,5),(3,6),(3,9),(4,7),(4,8),(4,9),(5,6),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,2,3,1,8,6,10,7,9] => ([(0,4),(1,3),(2,3),(2,4),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,2,3,1,10,9,6,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7),(8,9)],10)
[7,4,2,6,3,5,9,8,1,10] => ([(1,2),(1,9),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,2,6,3,5,1,10,8,9] => ([(0,2),(1,2),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,4,2,6,3,8,5,7,1,10] => ([(1,7),(1,8),(1,9),(2,6),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,2,6,3,8,5,10,7,9] => ([(1,9),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,4,2,6,3,10,9,5,7,8] => ([(1,6),(2,5),(2,6),(3,8),(3,9),(4,8),(4,9),(5,7),(7,8),(7,9),(8,9)],10)
[9,4,2,8,7,3,5,6,1,10] => ([(1,4),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,2,8,7,3,5,10,6,9] => ([(1,5),(2,4),(3,8),(3,9),(4,6),(5,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,2,10,7,3,9,5,6,8] => ([(1,3),(2,8),(2,9),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[1,4,2,10,9,8,3,5,6,7] => ([(1,2),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,2,3,4,9,8,1,10] => ([(1,2),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,2,3,4,1,10,8,9] => ([(0,2),(1,2),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,5,2,3,8,4,7,1,10] => ([(1,4),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,6,5,2,3,8,4,10,7,9] => ([(1,6),(2,5),(2,6),(3,8),(3,9),(4,8),(4,9),(5,7),(7,8),(7,9),(8,9)],10)
[1,6,5,2,3,10,9,4,7,8] => ([(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(8,9)],10)
[9,8,5,2,7,3,4,6,1,10] => ([(1,6),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,8,5,2,7,3,4,10,6,9] => ([(1,3),(2,8),(2,9),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[1,10,5,2,7,3,9,4,6,8] => ([(1,8),(1,9),(2,7),(2,9),(3,6),(3,7),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[1,10,5,2,9,8,3,4,6,7] => ([(1,6),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,2,3,4,5,1,10] => ([(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,8,7,6,2,3,4,10,5,9] => ([(1,2),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,7,6,2,3,9,4,5,8] => ([(1,6),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,6,2,8,3,4,5,7] => ([(1,7),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,8,7,2,3,4,5,6] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,5,4,7,6,1,10,9,8] => ([(0,1),(0,2),(1,2),(3,8),(3,9),(4,7),(4,9),(5,6),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,5,4,9,8,7,6,1,10] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,5,4,1,8,7,10,9,6] => ([(0,3),(0,9),(1,2),(1,9),(2,9),(3,9),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8)],10)
[3,2,5,4,1,10,9,8,7,6] => ([(0,3),(0,9),(1,2),(1,9),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],10)
[3,2,7,6,5,4,9,8,1,10] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,7,6,5,4,1,10,9,8] => ([(0,1),(0,2),(1,2),(3,4),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,9,6,5,8,7,4,1,10] => ([(1,2),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,1,6,5,8,7,10,9,4] => ([(0,1),(0,2),(1,2),(3,8),(3,9),(4,7),(4,9),(5,6),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,1,6,5,10,9,8,7,4] => ([(0,1),(0,2),(1,2),(3,4),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,1,8,7,6,5,10,9,4] => ([(0,1),(0,2),(1,2),(3,4),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,1,10,7,6,9,8,5,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,7,6,9,8,1,10] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,7,6,1,10,9,8] => ([(0,1),(0,2),(1,2),(3,4),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,9,8,7,6,1,10] => ([(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,9),(3,4),(3,5),(3,9),(4,5),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,1,8,7,10,9,6] => ([(0,3),(0,9),(1,2),(1,9),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],10)
[7,4,3,6,5,2,9,8,1,10] => ([(1,2),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,3,6,5,2,1,10,9,8] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,4,3,6,5,8,7,2,1,10] => ([(1,6),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,3,6,5,8,7,10,9,2] => ([(1,8),(1,9),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,4,3,6,5,10,9,8,7,2] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,4,3,8,7,6,5,2,1,10] => ([(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,3,8,7,6,5,10,9,2] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,3,10,7,6,9,8,5,2] => ([(1,2),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,3,10,9,8,7,6,5,2] => ([(1,2),(1,9),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,2,9,8,1,10] => ([(1,2),(1,9),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,5,4,3,8,7,2,1,10] => ([(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,6,5,4,3,8,7,10,9,2] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,6,5,4,3,10,9,8,7,2] => ([(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,9),(3,4),(3,5),(3,9),(4,5),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,5,4,7,6,3,2,1,10] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,8,5,4,7,6,3,10,9,2] => ([(1,2),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,5,4,7,6,9,8,3,2] => ([(1,6),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,5,4,9,8,7,6,3,2] => ([(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,7,6,5,4,9,8,3,2] => ([(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,6,5,8,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,7,4,8,3,9,2,10,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,7,4,8,3,10,2,9,1] => ([(0,2),(0,9),(1,7),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,4,7,3,8,2,9,1,10] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,1,2,3,4,5,10] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,10,1,2,3,4,5,9,6,7] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[10,8,1,9,2,3,4,5,6,7] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,7,1,2,3,4,5,9,10,6] => ([(0,7),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,1,5,6,7,8,9,3,4] => ([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,9,2,3,4,5,6,7,8,1] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,3,1,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,6,5,8,10,9,7] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,6,8,7,5,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,8,10,7,9,5,6] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,4,3,6,7,10,8,9,5] => ([(0,3),(1,2),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,6,5,3,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,6,5,3,8,10,9,7] => ([(0,1),(2,9),(3,8),(4,5),(4,8),(5,8),(6,7),(6,9),(7,9)],10)
[2,1,6,8,5,7,3,4,10,9] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,8,7,5,10,4,9,3,6] => ([(0,1),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,7,5,10,8,4,9,3] => ([(0,1),(2,7),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,5,8,6,7,3,10,9] => ([(0,3),(1,2),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,8,5,10,6,7,9,3,4] => ([(0,1),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,4,7,10,6,9,8,3,5] => ([(0,1),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,4,5,6,10,7,8,9,3] => ([(0,1),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,3,1,6,5,8,10,9,7] => ([(0,1),(2,9),(3,8),(4,5),(4,8),(5,8),(6,7),(6,9),(7,9)],10)
[2,4,3,1,6,8,7,5,10,9] => ([(0,1),(2,9),(3,8),(4,5),(4,8),(5,8),(6,7),(6,9),(7,9)],10)
[2,4,3,1,8,10,7,9,5,6] => ([(0,5),(1,2),(1,5),(2,5),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,4,3,1,6,7,10,8,9,5] => ([(0,8),(1,9),(2,9),(3,4),(3,8),(4,8),(5,7),(5,9),(6,7),(6,9),(7,9)],10)
[4,6,3,5,1,2,8,7,10,9] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,6,3,5,1,2,8,10,9,7] => ([(0,5),(1,2),(1,5),(2,5),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[6,5,3,8,2,7,1,4,10,9] => ([(0,1),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,3,7,2,10,4,9,1,6] => ([(0,2),(0,3),(0,9),(1,4),(1,5),(1,8),(1,9),(2,3),(2,6),(2,9),(3,7),(3,8),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,3,7,2,10,8,4,9,1] => ([(0,4),(0,9),(1,7),(1,8),(1,9),(2,4),(2,8),(2,9),(3,5),(3,6),(3,7),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,5,3,8,6,2,7,1,10,9] => ([(0,1),(2,7),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,3,5,10,2,7,9,1,4] => ([(0,4),(0,7),(0,9),(1,5),(1,6),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[4,7,3,6,10,1,9,8,2,5] => ([(0,4),(0,8),(0,9),(1,2),(1,5),(1,7),(1,9),(2,5),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,5,3,6,10,7,1,8,9,2] => ([(0,8),(0,9),(1,7),(1,9),(2,7),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,6,4,5,1,8,7,10,9] => ([(0,3),(1,2),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,6,4,5,1,8,10,9,7] => ([(0,8),(1,9),(2,9),(3,4),(3,8),(4,8),(5,7),(5,9),(6,7),(6,9),(7,9)],10)
[6,3,8,4,5,7,1,2,10,9] => ([(0,1),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,3,7,4,5,10,2,9,1,6] => ([(0,4),(0,5),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,3,7,4,5,10,8,2,9,1] => ([(0,6),(0,9),(1,6),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,8,4,7,6,1,3,10,9] => ([(0,1),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,5,10,4,7,6,2,9,1,3] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[2,7,10,4,8,6,9,5,1,3] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,5,6,4,10,8,7,3,9,1] => ([(0,9),(1,7),(1,9),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,8,5,6,7,1,10,9] => ([(0,1),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,3,4,10,5,6,7,9,1,2] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,7,4,10,5,6,9,8,1,3] => ([(0,9),(1,6),(1,8),(1,9),(2,3),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,6,10,5,9,7,8,1,4] => ([(0,9),(1,9),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,4,5,10,6,7,8,9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,1,8,9,10,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10)
[2,3,4,5,6,8,9,1,10,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(6,9),(7,8),(7,9)],10)
[4,5,6,1,7,8,9,10,2,3] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,5,6,1,7,8,9,10,2,4] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,4,6,1,7,8,9,10,2,5] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,9),(5,6),(5,9),(6,7),(7,8),(7,9)],10)
[3,4,5,1,7,8,9,10,2,6] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,9),(5,7),(5,9),(6,7),(6,9)],10)
[2,1,4,3,6,5,8,9,10,7] => ([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10)
[2,1,4,3,6,7,8,5,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10)
[2,1,4,3,8,7,9,10,5,6] => ([(0,3),(1,2),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,4,3,6,7,8,9,10,5] => ([(0,3),(1,2),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,1,4,5,6,3,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10)
[2,1,4,5,6,3,8,9,10,7] => ([(0,1),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10)
[2,1,6,5,7,8,3,4,10,9] => ([(0,3),(1,2),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,8,5,9,7,3,10,6,4] => ([(0,1),(2,8),(2,9),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,5,7,8,9,10,3,4] => ([(0,1),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,4,5,6,7,8,3,10,9] => ([(0,3),(1,2),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,1,8,5,6,7,9,10,3,4] => ([(0,1),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,4,7,6,8,9,3,10,5] => ([(0,1),(2,9),(3,8),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,4,5,6,7,8,9,10,3] => ([(0,1),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,1,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10)
[2,3,4,1,6,5,8,9,10,7] => ([(0,1),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10)
[2,3,4,1,6,7,8,5,10,9] => ([(0,1),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10)
[2,3,4,1,8,7,9,10,5,6] => ([(0,5),(1,5),(2,5),(3,8),(3,9),(4,8),(4,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,4,1,6,7,8,9,10,5] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10)
[4,3,5,6,1,2,8,7,10,9] => ([(0,3),(1,2),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,3,5,6,1,2,8,9,10,7] => ([(0,5),(1,5),(2,5),(3,8),(3,9),(4,8),(4,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[6,3,7,5,1,8,4,2,10,9] => ([(0,1),(2,8),(2,9),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,3,9,5,1,7,4,10,6,2] => ([(0,6),(0,9),(1,2),(1,8),(1,9),(2,5),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[6,3,7,5,1,8,9,10,4,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,5,6,7,8,1,2,10,9] => ([(0,1),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,3,9,5,6,7,1,10,4,2] => ([(0,8),(0,9),(1,6),(1,7),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[4,3,7,8,6,10,9,2,5,1] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,3),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,3,5,6,7,8,9,10,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,4,5,6,1,8,7,10,9] => ([(0,3),(1,2),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[6,3,4,5,7,8,1,2,10,9] => ([(0,1),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,3,4,5,9,7,1,10,6,2] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[6,3,4,5,7,8,9,10,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,5,4,6,7,1,8,3,10,9] => ([(0,1),(2,9),(3,8),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,5,4,6,7,1,9,10,3,2] => ([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[2,7,4,8,6,1,9,5,10,3] => ([(0,8),(1,9),(2,7),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[2,5,4,6,7,8,9,1,10,3] => ([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,4,5,6,7,8,1,10,9] => ([(0,1),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[8,3,4,5,6,7,9,10,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,7,4,5,6,8,9,1,10,3] => ([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,6,5,7,8,1,9,10,4] => ([(0,9),(1,9),(2,8),(3,8),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,5,2,3,6,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,3,2,5,6,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,7,2,3,4,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[5,3,6,2,4,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,6,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,8,9,2,3,4,5,10,1] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[6,3,7,8,2,4,5,9,10,1] => ([(0,9),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,4,5,2,3,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[6,4,3,7,2,5,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,4),(3,8),(3,9),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,2,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,1,3,4,5,6,2] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[7,3,8,9,10,2,4,5,6,1] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,8),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,3,8,9,2,5,6,10,1] => ([(0,9),(1,3),(1,4),(1,8),(1,9),(2,3),(2,4),(2,8),(2,9),(3,7),(3,9),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,8,3,6,2,4,9,10,1] => ([(0,9),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,4),(3,6),(3,7),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,4,3,8,2,6,9,10,1] => ([(0,9),(1,9),(2,3),(2,8),(2,9),(3,7),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,2,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,9,3,6,10,2,4,7,1] => ([(0,1),(0,6),(0,8),(0,9),(1,5),(1,7),(1,9),(2,3),(2,5),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,4,3,9,10,2,6,7,1] => ([(0,2),(0,3),(0,8),(0,9),(1,2),(1,3),(1,8),(1,9),(2,7),(2,9),(3,7),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,6,7,4,5,2,3,10,1] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,6,4,9,3,7,2,5,10,1] => ([(0,9),(1,2),(1,3),(1,7),(1,8),(1,9),(2,3),(2,6),(2,8),(2,9),(3,5),(3,7),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,5,4,3,9,2,7,10,1] => ([(0,9),(1,2),(1,8),(1,9),(2,7),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,4,3,2,9,10,1] => ([(0,9),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,4,10,3,8,2,6,1] => ([(0,1),(0,2),(0,7),(0,8),(0,9),(1,2),(1,6),(1,8),(1,9),(2,5),(2,7),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,6,5,4,3,10,2,8,1] => ([(0,1),(0,8),(0,9),(1,7),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,9,2,8,3,7,4,6,5] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,3,6,5,10,9,7,8,2] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,3,8,7,5,6,10,9,2] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,3,10,7,5,9,6,8,2] => ([(1,2),(1,9),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,3,10,9,8,5,6,7,2] => ([(1,2),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,6,5,3,4,8,7,10,9,2] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,6,5,3,4,10,9,7,8,2] => ([(1,7),(1,8),(1,9),(2,5),(2,6),(2,9),(3,5),(3,6),(3,9),(4,7),(4,8),(4,9),(5,6),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,8,5,3,7,4,6,10,9,2] => ([(1,2),(1,9),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,5,3,7,4,9,6,8,2] => ([(1,7),(1,8),(1,9),(2,6),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,5,3,9,8,4,6,7,2] => ([(1,4),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,8,7,6,3,4,5,10,9,2] => ([(1,2),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,7,6,3,4,9,5,8,2] => ([(1,4),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,6,3,8,4,5,7,2] => ([(1,6),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,8,7,3,4,5,6,2] => ([(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,2,6,5,8,7,10,9,4] => ([(0,8),(1,8),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9)],10)
[3,1,2,6,5,10,9,7,8,4] => ([(0,4),(1,4),(2,3),(2,9),(3,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,2,8,7,5,6,10,9,4] => ([(0,4),(1,4),(2,3),(2,9),(3,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,2,10,7,5,9,6,8,4] => ([(0,2),(1,2),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,2,10,9,8,5,6,7,4] => ([(0,2),(1,2),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,5,2,4,8,7,10,9,6] => ([(0,8),(1,7),(2,7),(2,8),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9)],10)
[3,1,5,2,4,10,9,7,8,6] => ([(0,4),(1,3),(2,3),(2,4),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,5,2,7,4,6,10,9,8] => ([(0,9),(1,8),(2,3),(2,4),(3,4),(5,6),(5,7),(6,8),(7,9)],10)
[3,1,5,2,9,8,4,6,7,10] => ([(1,6),(2,5),(2,6),(3,8),(3,9),(4,8),(4,9),(5,7),(7,8),(7,9),(8,9)],10)
[3,1,7,6,2,4,5,10,9,8] => ([(0,6),(1,2),(1,3),(2,3),(4,8),(4,9),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[3,1,7,6,2,4,9,5,8,10] => ([(1,5),(2,4),(3,8),(3,9),(4,6),(5,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,9,6,2,8,4,5,7,10] => ([(1,3),(2,8),(2,9),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[3,1,9,8,7,2,4,5,6,10] => ([(1,2),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,1,2,3,8,7,10,9,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[5,4,1,2,3,10,9,7,8,6] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7),(8,9)],10)
[5,4,1,2,7,3,6,10,9,8] => ([(0,6),(1,2),(1,3),(2,3),(4,8),(4,9),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[5,4,1,2,7,3,9,6,8,10] => ([(1,6),(2,5),(2,6),(3,8),(3,9),(4,8),(4,9),(5,7),(7,8),(7,9),(8,9)],10)
[5,4,1,2,9,8,3,6,7,10] => ([(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(8,9)],10)
[7,4,1,6,2,3,5,10,9,8] => ([(0,1),(0,2),(1,2),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,4,1,6,2,3,9,5,8,10] => ([(1,3),(2,8),(2,9),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[9,4,1,6,2,8,3,5,7,10] => ([(1,8),(1,9),(2,7),(2,9),(3,6),(3,7),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[9,4,1,8,7,2,3,5,6,10] => ([(1,6),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,1,2,3,4,10,9,8] => ([(0,1),(0,2),(1,2),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,1,2,3,9,4,8,10] => ([(1,2),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,5,1,2,8,3,4,7,10] => ([(1,6),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,5,1,7,2,3,4,6,10] => ([(1,7),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,3,4,9,6,7,8,5] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,9,3,4,5,6,7,8,2] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,9,2,10,3,4,5,6,7,8] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,4,2,3,6,5,8,7,10,9] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[1,3,4,2,6,5,8,7,10,9] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[2,1,3,4,5,6,7,10,8,9] => ([(5,9),(6,9),(7,8)],10)
[10,2,3,4,5,6,7,8,1,9] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,10,1,4,5,6,7,8,9,2] => ([(0,1),(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,1,10,3,4,5,6,7,2,9] => ([(0,9),(1,8),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,2,1,10,4,5,6,7,3,9] => ([(0,8),(1,2),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,10,8,3,4,5,6,1,2,9] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,9,1,2,10,5,6,7,8,4] => ([(0,2),(0,9),(1,2),(1,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,5,6,7,10,9,8,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,9,8,10,7,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,9,4,8,3,7,2,6,1] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,5,2,4,7,6,9,8,10] => ([(2,5),(3,4),(6,9),(7,8),(8,9)],10)
[1,4,2,5,3,7,6,9,8,10] => ([(2,5),(3,4),(6,9),(7,8),(8,9)],10)
[10,3,1,5,6,7,8,9,2,4] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[10,4,1,5,6,7,8,9,2,3] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,2,6,8,10,1,3,5,7,9] => ([(0,9),(1,7),(1,9),(2,5),(2,8),(3,4),(3,7),(3,9),(4,6),(4,8),(5,6),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[4,6,2,8,10,1,3,5,7,9] => ([(0,9),(1,7),(1,9),(2,6),(2,7),(2,9),(3,4),(3,5),(3,8),(4,6),(4,8),(5,6),(5,7),(5,9),(6,8),(7,8),(8,9)],10)
[4,6,8,2,10,1,3,5,7,9] => ([(0,9),(1,8),(1,9),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(4,5),(4,8),(4,9),(5,6),(5,7),(6,7),(6,8),(7,8),(7,9)],10)
[4,6,8,10,2,1,3,5,7,9] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,6,8,2,9,1,3,5,7,10] => ([(1,7),(1,9),(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(4,5),(4,7),(4,9),(5,6),(5,8),(6,8),(6,9),(7,8),(8,9)],10)
[4,6,2,7,9,1,3,5,8,10] => ([(1,8),(2,5),(2,7),(2,8),(3,4),(3,6),(3,9),(4,7),(4,9),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[4,2,5,7,9,1,3,6,8,10] => ([(1,8),(2,7),(2,9),(3,5),(3,8),(4,6),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[2,3,5,7,9,1,4,6,8,10] => ([(1,9),(2,9),(3,8),(4,7),(4,9),(5,6),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[9,7,10,8,6,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,10,8,6,4,3,2,1] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,2,9,6,3,10,7,4,1] => ([(0,6),(0,8),(0,9),(1,5),(1,7),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,3,8,4,9,5,1,10,6,2] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[2,3,4,5,6,7,10,8,9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,10,7,8,9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,10,5,6,7,8,9,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,10,4,5,6,7,8,9,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,6,5,9,8,10,7] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,7,6,8,5,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,7,6,9,8,10,5] => ([(0,3),(1,2),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,1,4,3,8,7,9,6,10,5] => ([(0,3),(1,2),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,5,4,6,3,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,5,4,6,3,9,8,10,7] => ([(0,1),(2,9),(3,8),(4,5),(4,8),(5,8),(6,7),(6,9),(7,9)],10)
[2,1,5,4,7,6,8,3,10,9] => ([(0,3),(1,2),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,1,5,4,7,6,9,8,10,3] => ([(0,9),(1,2),(3,8),(3,9),(4,7),(4,9),(5,6),(5,9),(6,9),(7,9),(8,9)],10)
[2,1,5,4,8,7,9,6,10,3] => ([(0,1),(2,9),(3,8),(3,9),(4,5),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,5,7,4,8,3,10,9] => ([(0,3),(1,2),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,5,7,4,9,8,10,3] => ([(0,1),(2,9),(3,8),(3,9),(4,5),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,5,8,7,9,4,10,3] => ([(0,9),(1,2),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,7,6,8,5,9,4,10,3] => ([(0,1),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,1,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,1,6,5,9,8,10,7] => ([(0,1),(2,9),(3,8),(4,5),(4,8),(5,8),(6,7),(6,9),(7,9)],10)
[3,2,4,1,7,6,8,5,10,9] => ([(0,1),(2,9),(3,8),(4,5),(4,8),(5,8),(6,7),(6,9),(7,9)],10)
[3,2,4,1,7,6,9,8,10,5] => ([(0,9),(1,8),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,7),(6,8),(7,8)],10)
[3,2,4,1,8,7,9,6,10,5] => ([(0,7),(1,9),(2,3),(2,7),(3,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[3,2,5,4,6,1,8,7,10,9] => ([(0,3),(1,2),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[3,2,5,4,6,1,9,8,10,7] => ([(0,9),(1,8),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,7),(6,8),(7,8)],10)
[3,2,5,4,7,6,8,1,10,9] => ([(0,9),(1,2),(3,8),(3,9),(4,7),(4,9),(5,6),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,5,4,7,6,9,8,10,1] => ([(0,9),(1,8),(1,9),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,5,4,8,7,9,6,10,1] => ([(0,9),(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,6,5,7,4,8,1,10,9] => ([(0,1),(2,9),(3,8),(3,9),(4,5),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,6,5,7,4,9,8,10,1] => ([(0,9),(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,6,5,8,7,9,4,10,1] => ([(0,9),(1,8),(1,9),(2,3),(2,9),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,7,6,8,5,9,4,10,1] => ([(0,9),(1,2),(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,5,2,6,1,8,7,10,9] => ([(0,3),(1,2),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,5,2,6,1,9,8,10,7] => ([(0,7),(1,9),(2,3),(2,7),(3,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[4,3,5,2,7,6,8,1,10,9] => ([(0,1),(2,9),(3,8),(3,9),(4,5),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,5,2,7,6,9,8,10,1] => ([(0,9),(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,5,2,8,7,9,6,10,1] => ([(0,9),(1,8),(1,9),(2,7),(2,9),(3,4),(3,7),(3,9),(4,7),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[4,3,6,5,7,2,8,1,10,9] => ([(0,9),(1,2),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,6,5,7,2,9,8,10,1] => ([(0,9),(1,8),(1,9),(2,3),(2,9),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,6,5,8,7,9,2,10,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,7,6,8,5,9,2,10,1] => ([(0,9),(1,8),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,6,3,7,2,8,1,10,9] => ([(0,1),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,6,3,7,2,9,8,10,1] => ([(0,9),(1,2),(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,6,3,8,7,9,2,10,1] => ([(0,9),(1,8),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,7,6,8,3,9,2,10,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,9,7,10,8] => ([(6,9),(7,8),(8,9)],10)
[2,3,4,5,6,9,10,1,7,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[1,2,3,4,5,7,6,8,9,10] => ([(8,9)],10)
[1,2,3,5,4,6,7,8,9,10] => ([(8,9)],10)
[1,2,3,5,4,7,6,9,8,10] => ([(4,9),(5,8),(6,7)],10)
[1,8,9,10,2,3,4,5,6,7] => ([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,5,6,7,8,9,10,2,3,4] => ([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,4,2,1,5,6,7,8,9,10] => ([(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,1,2,5,6,7,8,9,10] => ([(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,1,2,7,8,9,10] => ([(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,1,2,8,9,10] => ([(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,5,4,3,10,1,2,7,8] => ([(0,2),(0,9),(1,2),(1,9),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,7,10,9,1,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,10,8,9,1,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,5,6,10,8,1,9,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,5,6,10,8,1,7,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,10,1,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[2,3,4,5,10,7,8,9,1,6] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,5,10,7,8,1,9,6] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,5,10,7,8,1,6,9] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,5,10,7,1,9,6,8] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,5,10,7,1,6,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[2,3,4,5,10,1,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10)
[2,3,4,10,6,7,8,1,9,5] => ([(0,9),(1,9),(2,9),(3,7),(3,8),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,10,6,7,8,1,5,9] => ([(0,9),(1,9),(2,9),(3,8),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,10,6,7,1,8,9,5] => ([(0,8),(1,8),(2,8),(3,7),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[2,3,4,10,6,7,1,9,5,8] => ([(0,8),(1,8),(2,8),(3,6),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,3,4,10,6,7,1,5,8,9] => ([(0,8),(1,8),(2,8),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[2,3,4,10,6,1,8,5,9,7] => ([(0,8),(1,8),(2,8),(3,7),(3,9),(4,5),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[2,3,4,10,6,1,8,5,7,9] => ([(0,9),(1,8),(2,8),(3,8),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[2,3,4,10,6,1,5,7,8,9] => ([(0,9),(1,9),(2,9),(3,8),(4,8),(5,8),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,10,1,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[2,3,10,5,6,1,8,9,4,7] => ([(0,8),(1,8),(2,3),(2,4),(2,9),(3,7),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[2,3,10,5,6,1,8,4,9,7] => ([(0,8),(1,8),(2,6),(2,9),(3,6),(3,7),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,10,5,6,1,8,4,7,9] => ([(0,9),(1,8),(2,8),(3,6),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,3,10,5,6,1,4,7,8,9] => ([(0,9),(1,9),(2,9),(3,8),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[2,3,10,5,1,7,4,9,6,8] => ([(0,8),(1,8),(2,7),(2,9),(3,4),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[2,3,10,5,1,7,4,6,8,9] => ([(0,9),(1,9),(2,8),(3,8),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[2,3,10,5,1,4,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,4,1,6,3,8,5,9,7] => ([(0,8),(1,7),(1,9),(2,3),(2,4),(2,9),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[2,10,4,1,6,3,8,5,7,9] => ([(0,8),(1,9),(2,7),(2,9),(3,4),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[2,10,4,1,6,3,5,7,8,9] => ([(0,9),(1,9),(2,9),(3,5),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[2,10,4,1,3,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,5,4,3,2,9,1,10] => ([(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,5,6,8,9,10,1,2,7] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,5,6,7,8,9,10,1,2,4] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,4,5,6,7,8,1,2,9,10] => ([(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,10,1,5,6,7,3,4,2] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,9,10,5,6,7,1,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,9,10,1,5,6,3,4,7,2] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,9,10,5,6,1,3,4,7,2] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,9,10,5,6,3,4,7,1,2] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,5,6,10,1,3,4,7,2] => ([(0,2),(0,7),(0,8),(0,9),(1,2),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,9,5,6,10,3,4,7,1,2] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,10,1,5,6,7,3,2,4] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,6,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,1,5,6,3,7,2,4] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,6,1,3,7,2,4] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,6,3,7,1,2,4] => ([(0,1),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,5,6,10,1,3,7,2,4] => ([(0,2),(0,4),(0,5),(0,8),(0,9),(1,2),(1,6),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,5,6,10,3,7,1,2,4] => ([(0,3),(0,4),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,10,1,5,6,3,2,4,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,6,1,3,2,4,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,6,3,1,2,4,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,6,3,2,4,7,1] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,9,5,6,10,1,3,2,4,7] => ([(0,3),(0,8),(0,9),(1,3),(1,6),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,5,6,10,3,1,2,4,7] => ([(0,2),(0,8),(0,9),(1,2),(1,5),(1,6),(1,8),(1,9),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,5,6,10,3,2,4,7,1] => ([(0,1),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,9,10,1,5,3,6,7,2,4] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,1,3,6,7,2,4] => ([(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,3,6,7,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,5,10,1,3,6,7,2,4] => ([(0,5),(0,6),(0,8),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,5,10,3,6,7,1,2,4] => ([(0,1),(0,3),(0,4),(0,5),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,10,1,5,3,6,2,4,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,1,3,6,2,4,7] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,3,6,1,2,4,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,3,6,2,4,7,1] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,9,5,10,1,3,6,2,4,7] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9)],10)
[8,9,5,10,3,6,1,2,4,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,5,10,3,6,2,4,7,1] => ([(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,9,5,3,6,10,1,2,4,7] => ([(0,1),(0,8),(0,9),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,5,3,6,10,2,4,7,1] => ([(0,1),(0,7),(0,8),(0,9),(1,5),(1,6),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,5,9,10,1,3,6,7,2,4] => ([(0,4),(0,6),(0,7),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(7,8),(8,9)],10)
[8,5,9,10,3,6,7,1,2,4] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,5,9,10,1,3,6,2,4,7] => ([(0,7),(0,8),(0,9),(1,5),(1,7),(1,8),(1,9),(2,3),(2,5),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9)],10)
[8,5,9,10,3,6,1,2,4,7] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,5,9,10,3,6,2,4,7,1] => ([(0,5),(0,6),(0,8),(0,9),(1,3),(1,4),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,9,5,6,7,8,2,3,4] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,10,8,6,7,2,3,4,5] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[8,1,9,10,7,2,3,4,5,6] => ([(0,8),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[10,1,8,9,2,3,4,5,6,7] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,1,10,9,6,7,8,2,4,5] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,9,10,8,7,2,4,5,6] => ([(0,1),(1,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,8,9,10,2,4,5,6,7] => ([(0,1),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,2,5,1,6,3,8,7,10,9] => ([(0,3),(1,2),(4,7),(5,7),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[4,2,6,1,7,3,8,5,10,9] => ([(0,9),(1,2),(3,6),(3,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8)],10)
[4,2,6,1,8,3,9,5,10,7] => ([(0,9),(1,7),(1,8),(2,6),(2,9),(3,4),(3,5),(3,7),(4,6),(4,8),(5,6),(5,9),(7,8)],10)
[4,2,6,1,8,3,9,5,7,10] => ([(1,6),(1,7),(2,3),(2,9),(3,8),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(8,9)],10)
[4,2,6,1,7,3,5,9,8,10] => ([(1,2),(3,6),(3,7),(4,5),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[4,2,5,1,3,7,6,9,8,10] => ([(1,4),(2,3),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[2,3,4,5,9,7,8,10,6,1] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,9,6,7,8,10,1,5] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,9,5,6,7,8,10,4,1] => ([(0,9),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,9,4,5,6,7,8,10,3,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,3,4,5,6,7,8,10,1,2] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,4,5,6,8,10,1,9,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9)],10)
[2,3,4,5,7,8,1,10,6,9] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,8),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,4,6,7,1,8,10,5,9] => ([(0,9),(1,9),(2,9),(3,8),(4,5),(5,8),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,5,6,1,7,8,10,9,4] => ([(0,9),(1,9),(2,8),(3,8),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9)],10)
[2,4,5,1,6,7,8,10,3,9] => ([(0,9),(1,9),(2,9),(3,8),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,1,5,6,7,8,10,2,9] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,2,4,5,6,7,8,10,9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[1,3,5,7,2,4,6,9,8,10] => ([(2,3),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[2,4,1,5,3,6,7,8,9,10] => ([(5,9),(6,8),(7,8),(7,9)],10)
[5,6,2,1,3,7,4,8,9,10] => ([(3,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,2,5,1,6,4,7,8,9,10] => ([(4,8),(5,8),(5,9),(6,7),(6,9),(7,9)],10)
[6,7,2,1,8,3,4,9,5,10] => ([(1,7),(2,3),(2,8),(2,9),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(7,8),(7,9)],10)
[3,6,4,1,7,2,8,5,9,10] => ([(2,7),(3,6),(3,9),(4,7),(4,9),(5,6),(5,8),(5,9),(6,8),(7,8),(8,9)],10)
[3,6,7,2,1,4,8,5,9,10] => ([(2,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,2,6,1,7,5,3,8,9,10] => ([(3,6),(3,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(7,9),(8,9)],10)
[4,3,2,6,1,7,5,8,9,10] => ([(3,5),(4,5),(4,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,7,1,8,2,9,5,10,6] => ([(0,9),(1,5),(1,9),(2,4),(2,7),(3,4),(3,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[7,8,9,3,2,1,4,5,10,6] => ([(0,3),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,7,2,5,1,8,3,9,6,10] => ([(1,6),(2,6),(2,8),(3,4),(3,7),(3,8),(4,7),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[4,3,7,8,2,1,5,9,6,10] => ([(1,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,2,7,1,8,6,4,9,10] => ([(2,7),(2,9),(3,6),(3,8),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(7,9)],10)
[5,4,3,2,7,1,8,6,9,10] => ([(2,4),(3,4),(3,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,8,9,2,1,6,3,10,7,4] => ([(0,6),(0,9),(1,2),(1,3),(1,4),(1,9),(2,3),(2,7),(2,8),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[5,3,8,6,4,1,9,2,10,7] => ([(0,3),(1,3),(1,9),(2,5),(2,8),(2,9),(3,7),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,5,8,2,6,1,9,4,10,7] => ([(0,5),(1,7),(1,9),(2,5),(2,6),(3,6),(3,8),(3,9),(4,6),(4,7),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10)
[5,4,3,8,9,2,1,6,10,7] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,8),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,4,2,8,1,9,7,5,3,10] => ([(1,4),(1,5),(1,7),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,5),(4,7),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,6,2,8,1,9,7,5,10] => ([(1,6),(1,8),(2,6),(2,8),(2,9),(3,4),(3,7),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,8),(7,9)],10)
[6,5,4,3,2,8,1,9,7,10] => ([(1,3),(2,3),(2,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,3,7,2,9,1,10,8,6,4] => ([(0,4),(0,5),(0,7),(1,6),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,7),(5,7),(5,9),(6,8),(6,9),(8,9)],10)
[5,4,3,7,2,9,1,10,8,6] => ([(0,3),(0,7),(1,3),(1,7),(1,9),(2,7),(2,8),(2,9),(3,7),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[7,6,5,4,3,2,9,1,10,8] => ([(0,2),(1,2),(1,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,3,4,5,6,7,8,9] => ([(0,1),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,1,2,10,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8)],10)
[4,1,2,3,10,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10)
[5,1,2,3,4,10,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8)],10)
[6,1,2,3,4,5,10,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10)
[7,1,2,3,4,5,6,10,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8)],10)
[10,8,6,4,2,9,7,5,3,1] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,4,1,8,5,2,9,6,3] => ([(0,6),(0,8),(0,9),(1,5),(1,7),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,3,8,5,2,10,7,4,1] => ([(0,2),(0,7),(0,9),(1,5),(1,6),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,1,7,3,10,6,2,8,4] => ([(0,6),(0,9),(1,3),(1,8),(1,9),(2,5),(2,6),(2,7),(2,9),(3,4),(3,7),(3,8),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,6,2,7,3,8,4,9,5,1] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,3,8,4,10,6,2,9,5,1] => ([(0,4),(0,6),(0,9),(1,7),(1,8),(1,9),(2,3),(2,7),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[8,4,7,3,10,6,2,9,5,1] => ([(0,3),(0,6),(0,9),(1,2),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,8,3,6,1,9,4,7,2] => ([(0,1),(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,4),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,4,7,2,10,5,8,3,6,1] => ([(0,1),(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,4),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,7,2,8,3,9,4,6,1] => ([(0,5),(0,7),(0,8),(0,9),(1,4),(1,6),(1,8),(1,9),(2,3),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,3,10,5,7,2,9,4,6,1] => ([(0,6),(0,8),(0,9),(1,3),(1,5),(1,7),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,3,9,4,7,2,10,5,6,1] => ([(0,7),(0,8),(0,9),(1,3),(1,4),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[9,3,5,7,1,10,4,6,8,2] => ([(0,5),(0,8),(0,9),(1,4),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,6),(4,8),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,4,6,8,2,9,3,5,7,1] => ([(0,5),(0,7),(0,8),(0,9),(1,4),(1,6),(1,8),(1,9),(2,3),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,4,5,6,7,1,8,2,9,3] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,2,9,3,10,4,5,6,7,1] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[9,3,8,2,10,4,5,6,7,1] => ([(0,5),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,9,3,7,1,10,4,8,2] => ([(0,1),(0,8),(0,9),(1,7),(1,9),(2,5),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,8),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,10,4,8,2,9,3,7,1] => ([(0,3),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,9),(2,5),(2,6),(2,7),(2,9),(3,4),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,9,3,8,2,10,4,7,1] => ([(0,3),(0,8),(0,9),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,9,3,8,2,10,4,7,1] => ([(0,1),(0,8),(0,9),(1,5),(1,7),(1,9),(2,3),(2,4),(2,6),(2,7),(2,9),(3,4),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[9,2,7,6,5,4,10,3,8,1] => ([(0,8),(0,9),(1,2),(1,8),(1,9),(2,7),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,7,6,5,4,8,1,9,2] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,2,10,3,7,6,5,4,8,1] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,6,5,4,9,2,10,3,8,1] => ([(0,1),(0,8),(0,9),(1,2),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[6,4,7,5,10,3,9,2,8,1] => ([(0,3),(0,6),(0,9),(1,5),(1,7),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,4,7,5,9,2,10,3,8,1] => ([(0,1),(0,4),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,5,6,4,9,2,10,3,8,1] => ([(0,1),(0,8),(0,9),(1,2),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[6,5,7,4,9,2,10,3,8,1] => ([(0,1),(0,8),(0,9),(1,2),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[5,6,7,3,8,4,9,1,10,2] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,6,7,3,8,4,10,2,9,1] => ([(0,2),(0,9),(1,7),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,8,4,7,3,10,2,9,1] => ([(0,1),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,8,4,7,3,10,2,9,1] => ([(0,1),(0,9),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,2,5,6,7,8,9,10,1,3] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[7,8,10,1,2,3,4,5,6,9] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,5,6,7,8,10,1,2,3,9] => ([(0,6),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,6,7,5,8,4,9,3,10,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,8,10,7,9] => ([(6,9),(7,8),(8,9)],10)
[8,9,10,4,5,6,2,3,1,7] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,9,4,5,6,10,2,3,1,7] => ([(0,1),(0,7),(0,8),(1,5),(1,6),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,9,10,4,5,2,3,6,1,7] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,9,4,5,10,2,3,6,1,7] => ([(0,4),(0,7),(0,8),(1,4),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,9,4,5,2,3,6,10,1,7] => ([(0,2),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,4,5,9,10,2,3,6,1,7] => ([(0,4),(0,5),(0,8),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,4,5,9,2,3,6,10,1,7] => ([(0,2),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,9,10,4,5,6,2,1,3,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,4,5,6,10,2,1,3,7] => ([(0,1),(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,10,4,5,2,6,1,3,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,4,5,10,2,6,1,3,7] => ([(0,4),(0,8),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,4,5,2,6,10,1,3,7] => ([(0,1),(0,8),(0,9),(1,6),(1,7),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,4,5,9,10,2,6,1,3,7] => ([(0,4),(0,5),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,4,5,9,2,6,10,1,3,7] => ([(0,1),(0,6),(0,9),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[8,9,10,4,5,2,1,3,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,4,5,10,2,1,3,6,7] => ([(0,5),(0,8),(0,9),(1,5),(1,8),(1,9),(2,3),(2,4),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,4,5,2,10,1,3,6,7] => ([(0,2),(0,8),(0,9),(1,2),(1,8),(1,9),(2,6),(2,7),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,4,5,2,1,3,6,10,7] => ([(0,2),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,4,5,9,10,2,1,3,6,7] => ([(0,5),(0,6),(0,9),(1,5),(1,6),(1,9),(2,4),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[8,4,5,9,2,10,1,3,6,7] => ([(0,4),(0,7),(0,9),(1,4),(1,7),(1,9),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,8),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[8,4,5,9,2,1,3,6,10,7] => ([(0,2),(1,8),(1,9),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,10,4,2,5,6,1,3,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,4,10,2,5,6,1,3,7] => ([(0,6),(0,8),(0,9),(1,2),(1,6),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(7,8),(7,9)],10)
[8,9,4,2,5,6,10,1,3,7] => ([(0,1),(0,8),(0,9),(1,6),(1,7),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,4,9,10,2,5,6,1,3,7] => ([(0,6),(0,7),(0,9),(1,4),(1,5),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(7,8),(8,9)],10)
[8,4,9,2,5,6,10,1,3,7] => ([(0,1),(0,7),(0,9),(1,6),(1,8),(2,3),(2,6),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[8,9,10,4,2,5,1,3,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,4,10,2,5,1,3,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,4,2,5,10,1,3,6,7] => ([(0,4),(0,8),(0,9),(1,4),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,4,2,5,1,3,6,10,7] => ([(0,2),(1,8),(1,9),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,4,9,10,2,5,1,3,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,4,9,2,5,1,3,6,10,7] => ([(0,2),(1,8),(1,9),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,4,2,5,9,10,1,3,6,7] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,4),(2,5),(2,9),(3,4),(3,5),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,4,2,5,9,1,3,6,10,7] => ([(0,4),(1,7),(1,9),(2,5),(2,8),(2,9),(3,6),(3,8),(3,9),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[4,8,9,10,2,5,6,1,3,7] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[4,8,9,2,5,6,10,1,3,7] => ([(0,1),(0,6),(0,9),(1,7),(1,8),(2,5),(2,6),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[4,8,9,10,2,5,1,3,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,8,9,2,5,10,1,3,6,7] => ([(0,4),(0,7),(0,8),(1,4),(1,7),(1,8),(2,3),(2,6),(2,9),(3,7),(3,8),(3,9),(4,6),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[4,8,9,2,5,1,3,6,10,7] => ([(0,3),(1,8),(1,9),(2,5),(2,6),(2,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,8,2,5,9,10,1,3,6,7] => ([(0,1),(0,8),(0,9),(1,7),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[4,8,2,5,9,1,3,6,10,7] => ([(0,5),(1,7),(1,9),(2,3),(2,8),(2,9),(3,6),(3,8),(4,6),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[6,5,3,1,2,4,8,7,10,9] => ([(0,3),(1,2),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,5,3,1,2,4,6,10,9] => ([(0,1),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,7,5,3,1,2,4,6,8] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,3,1,2,4,6,9,8,10] => ([(1,2),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,3,1,2,4,7,6,9,8,10] => ([(1,4),(2,3),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,6,5,9,7,10,8] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10)
[2,1,4,3,7,5,8,6,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10)
[2,1,4,3,7,5,9,6,10,8] => ([(0,3),(1,2),(4,7),(5,6),(6,8),(7,9),(8,9)],10)
[2,1,4,3,8,5,9,6,10,7] => ([(0,3),(1,2),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[2,1,5,3,6,4,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10)
[2,1,5,3,6,4,9,7,10,8] => ([(0,1),(2,9),(3,7),(4,6),(5,8),(6,7),(8,9)],10)
[2,1,5,3,7,4,8,6,10,9] => ([(0,3),(1,2),(4,7),(5,6),(6,8),(7,9),(8,9)],10)
[2,1,5,3,7,4,9,6,10,8] => ([(0,9),(1,8),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,1,5,3,8,4,9,6,10,7] => ([(0,1),(2,8),(3,6),(4,6),(4,9),(5,7),(5,9),(7,8),(8,9)],10)
[2,1,6,3,7,4,8,5,10,9] => ([(0,3),(1,2),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[2,1,6,3,7,4,9,5,10,8] => ([(0,1),(2,8),(3,6),(4,6),(4,9),(5,7),(5,9),(7,8),(8,9)],10)
[2,1,6,3,8,4,9,5,10,7] => ([(0,1),(2,7),(3,6),(4,6),(4,9),(5,7),(5,8),(6,8),(7,9),(8,9)],10)
[2,1,7,3,8,4,9,5,10,6] => ([(0,1),(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[3,1,4,2,6,5,9,7,10,8] => ([(0,1),(2,9),(3,7),(4,6),(5,8),(6,7),(8,9)],10)
[3,1,4,2,7,5,8,6,10,9] => ([(0,1),(2,9),(3,7),(4,6),(5,8),(6,7),(8,9)],10)
[3,1,4,2,7,5,9,6,10,8] => ([(0,7),(1,6),(2,9),(3,8),(4,5),(4,8),(5,9),(6,7)],10)
[3,1,4,2,8,5,9,6,10,7] => ([(0,9),(1,8),(2,5),(3,4),(4,5),(6,7),(6,8),(7,9),(8,9)],10)
[3,1,5,2,6,4,9,7,10,8] => ([(0,7),(1,6),(2,9),(3,8),(4,5),(4,8),(5,9),(6,7)],10)
[3,1,5,2,8,4,9,6,10,7] => ([(0,9),(1,7),(2,4),(2,5),(3,6),(3,9),(4,7),(5,8),(6,8),(8,9)],10)
[3,1,6,2,7,4,8,5,10,9] => ([(0,1),(2,8),(3,6),(4,6),(4,9),(5,7),(5,9),(7,8),(8,9)],10)
[3,1,6,2,7,4,9,5,10,8] => ([(0,7),(1,6),(2,3),(2,8),(3,9),(4,6),(4,8),(5,7),(5,9),(8,9)],10)
[3,1,6,2,8,4,9,5,10,7] => ([(0,9),(1,5),(2,8),(2,9),(3,5),(3,6),(4,6),(4,7),(6,8),(7,8),(7,9)],10)
[3,1,7,2,8,4,9,5,10,6] => ([(0,9),(1,5),(2,5),(2,8),(3,7),(3,9),(4,6),(4,8),(6,7),(6,9),(7,8),(8,9)],10)
[4,1,5,2,6,3,9,7,10,8] => ([(0,9),(1,8),(2,5),(3,4),(4,5),(6,7),(6,8),(7,9),(8,9)],10)
[4,1,5,2,7,3,8,6,10,9] => ([(0,1),(2,8),(3,6),(4,6),(4,9),(5,7),(5,9),(7,8),(8,9)],10)
[4,1,5,2,7,3,9,6,10,8] => ([(0,9),(1,7),(2,4),(2,5),(3,6),(3,9),(4,7),(5,8),(6,8),(8,9)],10)
[4,1,5,2,8,3,9,6,10,7] => ([(0,9),(1,8),(2,4),(2,8),(3,5),(3,9),(4,6),(5,7),(6,7),(6,8),(7,9)],10)
[4,1,6,2,7,3,8,5,10,9] => ([(0,1),(2,7),(3,6),(4,6),(4,9),(5,7),(5,8),(6,8),(7,9),(8,9)],10)
[4,1,6,2,7,3,9,5,10,8] => ([(0,9),(1,5),(2,8),(2,9),(3,5),(3,6),(4,6),(4,7),(6,8),(7,8),(7,9)],10)
[4,1,6,2,8,3,9,5,10,7] => ([(0,9),(1,8),(2,6),(2,8),(3,7),(3,9),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7)],10)
[4,1,7,2,8,3,9,5,10,6] => ([(0,9),(1,7),(2,6),(2,9),(3,7),(3,8),(4,5),(4,6),(4,9),(5,7),(5,8),(6,8),(8,9)],10)
[5,1,6,2,7,3,9,4,10,8] => ([(0,9),(1,5),(2,5),(2,8),(3,7),(3,9),(4,6),(4,8),(6,7),(6,9),(7,8),(8,9)],10)
[5,1,6,2,8,3,9,4,10,7] => ([(0,9),(1,7),(2,6),(2,9),(3,7),(3,8),(4,5),(4,6),(4,9),(5,7),(5,8),(6,8),(8,9)],10)
[5,1,7,2,8,3,9,4,10,6] => ([(0,9),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9)],10)
[9,3,4,5,6,7,1,2,10,8] => ([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[1,7,2,8,3,9,4,10,5,6] => ([(1,9),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[1,7,2,8,3,9,10,4,5,6] => ([(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,7,2,8,9,3,4,10,5,6] => ([(1,9),(2,7),(2,8),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[1,7,2,8,9,3,10,4,5,6] => ([(1,9),(2,6),(2,7),(2,8),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[1,7,2,8,9,10,3,4,5,6] => ([(1,9),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[1,7,8,2,3,9,4,10,5,6] => ([(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,7,8,2,3,9,10,4,5,6] => ([(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,7,8,2,9,3,4,10,5,6] => ([(1,6),(1,7),(2,8),(2,9),(3,5),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,7,8,2,9,3,10,4,5,6] => ([(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,7,8,2,9,10,3,4,5,6] => ([(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,7,8,9,2,3,4,10,5,6] => ([(1,5),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,7,8,9,2,3,10,4,5,6] => ([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,7,8,9,2,10,3,4,5,6] => ([(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,1,2,8,3,9,4,10,5,6] => ([(0,9),(1,9),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[7,1,2,8,3,9,10,4,5,6] => ([(0,9),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,1,2,8,9,3,4,10,5,6] => ([(0,9),(1,9),(2,7),(2,8),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[7,1,2,8,9,3,10,4,5,6] => ([(0,9),(1,9),(2,6),(2,7),(2,8),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[7,1,2,8,9,10,3,4,5,6] => ([(0,9),(1,9),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[7,1,8,2,3,9,4,10,5,6] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,1,8,2,3,9,10,4,5,6] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,1,8,2,9,3,4,10,5,6] => ([(0,9),(1,6),(1,7),(2,8),(2,9),(3,5),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,1,8,2,9,10,3,4,5,6] => ([(0,9),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,1,8,9,2,3,4,10,5,6] => ([(0,9),(1,5),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,1,8,9,2,3,10,4,5,6] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,1,8,9,2,10,3,4,5,6] => ([(0,9),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,1,8,9,10,2,3,4,5,6] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[7,8,1,2,3,9,4,10,5,6] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,1,2,3,9,10,4,5,6] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,1,2,9,3,4,10,5,6] => ([(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,8,1,2,9,3,10,4,5,6] => ([(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,1,2,9,10,3,4,5,6] => ([(0,8),(0,9),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,1,9,2,3,4,10,5,6] => ([(0,8),(0,9),(1,5),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,8,1,9,2,3,10,4,5,6] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,8,1,9,2,10,3,4,5,6] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,8,1,9,10,2,3,4,5,6] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[7,8,9,1,2,3,4,10,5,6] => ([(0,5),(0,6),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,8,9,1,2,3,10,4,5,6] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,8,9,1,2,10,3,4,5,6] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,8,9,1,10,2,3,4,5,6] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[7,2,8,9,10,1,3,4,5,6] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(1,9),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[9,10,6,4,2,1,3,5,8,7] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,8,4,2,1,3,6,5,9] => ([(0,9),(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,7,10,4,2,1,3,6,8,5] => ([(0,5),(0,8),(0,9),(1,5),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[8,9,10,4,2,1,3,7,6,5] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,7),(1,8),(1,9),(2,3),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,8,5,6,2,1,4,3,7,9] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,5,6,2,1,4,3,8,7] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,5,8,2,1,4,6,3,9] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,10,2,1,4,6,8,3] => ([(0,6),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(7,8),(7,9),(8,9)],10)
[8,9,5,10,2,1,4,7,6,3] => ([(0,1),(0,5),(0,7),(0,8),(0,9),(1,5),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,6,7,8,2,1,5,4,3,9] => ([(0,9),(1,2),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[9,6,7,10,2,1,5,4,8,3] => ([(0,7),(0,8),(0,9),(1,2),(1,5),(1,6),(1,7),(1,9),(2,5),(2,6),(2,7),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[8,6,9,10,2,1,5,7,4,3] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,9),(2,4),(2,5),(2,6),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[7,8,9,10,2,1,6,5,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,3,4,2,1,5,7,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,6,3,4,2,1,5,8,7] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,8,3,4,2,1,6,5,9] => ([(0,9),(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,7,10,3,4,2,1,6,8,5] => ([(0,4),(0,8),(0,9),(1,4),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[8,9,10,3,4,2,1,7,6,5] => ([(0,1),(0,2),(0,7),(0,8),(0,9),(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,8,5,3,6,2,4,1,7,9] => ([(0,9),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,5,3,6,2,4,1,8,7] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,5,3,8,2,4,6,1,9] => ([(0,9),(1,4),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,3,10,2,4,6,8,1] => ([(0,4),(0,8),(0,9),(1,4),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,5,3,10,2,4,7,6,1] => ([(0,1),(0,2),(0,7),(0,8),(0,9),(1,2),(1,7),(1,8),(1,9),(2,3),(2,6),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,6,7,3,8,2,5,4,1,9] => ([(0,9),(1,3),(1,4),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,7,3,10,2,5,4,8,1] => ([(0,2),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,7),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,9,3,10,2,5,7,4,1] => ([(0,3),(0,4),(0,6),(0,7),(0,9),(1,2),(1,5),(1,6),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,3,10,2,6,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,4,5,6,3,2,1,7,9] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,4,5,6,3,2,1,8,7] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,4,5,8,3,2,6,1,9] => ([(0,9),(1,4),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,4,5,10,3,2,6,8,1] => ([(0,4),(0,8),(0,9),(1,4),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,4,5,10,3,2,7,6,1] => ([(0,1),(0,2),(0,5),(0,6),(0,9),(1,2),(1,5),(1,6),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,4,7,8,3,5,2,1,9] => ([(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,4,7,10,3,5,2,8,1] => ([(0,3),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,4,9,10,3,5,7,2,1] => ([(0,2),(0,3),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,4,9,10,3,6,5,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,6,7,8,4,3,2,1,9] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,6,7,10,4,3,2,8,1] => ([(0,4),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,6,9,10,4,3,7,2,1] => ([(0,2),(0,6),(0,7),(0,8),(0,9),(1,2),(1,6),(1,7),(1,8),(1,9),(2,5),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,8,9,10,4,6,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,4,5,6,7,9,1,3,8] => ([(0,8),(1,6),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,3,4,5,6,7,1,9,2,8] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[10,9,8,6,4,2,1,3,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,7,6,4,2,1,3,5,9] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,9,6,4,2,1,3,8,5] => ([(0,2),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,4,2,1,3,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,5,4,2,1,3,7,9] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,6,5,4,2,1,3,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,5,7,4,2,1,6,3,9] => ([(0,9),(1,5),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,9,7,4,2,1,6,8,3] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,5,7,4,2,1,6,3] => ([(0,4),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,7,6,5,4,2,1,3,9] => ([(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,9,6,5,4,2,1,8,3] => ([(0,4),(0,8),(0,9),(1,2),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,9,8,5,7,2,1,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,4,3,2,1,5,7,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,6,4,3,2,1,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,7,6,4,3,2,1,5,9] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,9,6,4,3,2,1,8,5] => ([(0,1),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,3,5,2,4,1,7,9] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,6,3,5,2,4,1,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,3,7,5,2,4,6,1,9] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,9,7,5,2,4,6,8,1] => ([(0,7),(0,8),(0,9),(1,4),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,3,7,5,2,4,6,1] => ([(0,4),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,7,6,3,5,2,4,1,9] => ([(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,9,6,3,5,2,4,8,1] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,3,8,6,5,2,7,4,1] => ([(0,5),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,5,4,3,2,1,7,9] => ([(0,9),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,5,7,4,3,2,6,1,9] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,9,7,4,3,2,6,8,1] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,5,7,4,3,2,6,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,4,7,6,3,5,2,1,9] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,4,9,7,6,3,5,2,8,1] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,4,9,6,8,3,5,7,2,1] => ([(0,5),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,4,7,6,3,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,9,6,5,4,3,2,8,1] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,9,8,5,4,3,7,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,9,8,7,4,6,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,8,9,10,1,4,5,6,7] => ([(0,1),(0,9),(1,9),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[2,3,4,5,8,9,10,1,6,7] => ([(0,9),(1,9),(2,9),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[2,3,4,7,8,9,10,1,5,6] => ([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,3,6,7,8,9,10,1,4,5] => ([(0,9),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,5,6,7,8,9,10,1,3,4] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,2,7,3,8,4,9,5,10,6] => ([(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[4,1,2,3,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10)
[7,1,2,3,4,5,9,6,10,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,6),(6,8),(7,8),(7,9)],10)
[3,4,5,6,7,1,8,2,10,9] => ([(0,9),(1,2),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,4,5,6,10,7,8,2,9,3] => ([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,4,5,6,10,7,1,8,3,9] => ([(0,9),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,5,6,8,7,1,10,2,9] => ([(0,5),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,5,6,7,10,8,1,9,2,4] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,4,5,9,6,7,2,8,10,3] => ([(1,9),(2,7),(2,9),(3,7),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,5,6,7,1,9,8,10] => ([(1,2),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,1,7,6,9,8,10] => ([(1,4),(2,3),(5,9),(6,9),(7,9),(8,9)],10)
[3,4,5,6,7,8,10,1,9,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[7,8,9,6,1,2,3,4,10,5] => ([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[2,8,9,10,7,1,3,4,5,6] => ([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,9,7,5,6,1,2,3,10,4] => ([(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[2,9,10,8,6,7,1,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,8,9,5,1,2,3,4,10,6] => ([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[7,8,9,1,6,2,3,4,10,5] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[2,8,9,10,6,1,3,4,5,7] => ([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[2,8,9,10,1,7,3,4,5,6] => ([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[4,2,3,5,6,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,6,7,4,5,2,3,1,8] => ([(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,4,5,10,1,2,3,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,4,3,9,10,1,2,5,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[9,6,10,1,3,7,8,2,4,5] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[9,10,6,7,4,5,1,2,3,8] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,6,4,10,3,7,1,2,5,8] => ([(0,8),(0,9),(1,3),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[10,1,8,9,6,7,4,5,2,3] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,8,6,1,4,9,3,7,2,5] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,7),(1,8),(1,9),(2,3),(2,6),(2,8),(2,9),(3,5),(3,6),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,5,4,1,3,9,2,7] => ([(0,1),(0,7),(0,9),(1,8),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,7,6,5,4,3,1,2,9] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,6,5,7,8,9,10] => ([(8,9)],10)
[1,2,3,4,5,6,8,7,9,10] => ([(8,9)],10)
[10,7,6,5,4,3,2,1,8,9] => ([(0,9),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,3,4,5,6,9,8,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,3,4,5,9,7,8,6] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,3,9,5,6,7,8,4] => ([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,9,4,5,6,7,8,3] => ([(0,9),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,5,6,7,9,10,1,8,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[3,4,5,7,8,9,10,1,6,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[3,4,6,7,8,9,10,1,5,2] => ([(0,8),(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[4,5,6,7,8,9,10,1,3,2] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[6,4,5,7,3,8,2,9,1,10] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,5,6,4,3,2,10,1] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,2,4,6,8,1,3,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,2,4,6,10,1,3,5,9] => ([(0,4),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,7,10,2,4,6,8,1,3,5] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,9),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[8,9,10,7,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[5,6,2,4,8,10,1,3,7,9] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,9),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,6,9,10,2,4,8,1,3,7] => ([(0,4),(0,7),(0,8),(1,3),(1,5),(1,6),(1,9),(2,3),(2,5),(2,6),(2,9),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,5,8,2,4,6,10,1,3,9] => ([(0,1),(1,8),(1,9),(2,5),(2,6),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,9,5,10,2,4,6,8,1,3] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[5,8,9,10,7,2,4,6,1,3] => ([(0,5),(0,6),(0,7),(0,9),(1,2),(1,3),(1,4),(1,6),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[6,7,8,5,2,4,10,1,3,9] => ([(0,1),(1,7),(1,9),(2,3),(2,4),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[9,6,7,5,10,2,4,8,1,3] => ([(0,1),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[8,9,6,10,5,7,2,4,1,3] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[7,8,9,10,6,5,2,4,1,3] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,2,6,8,10,1,5,7,9] => ([(0,8),(1,7),(1,9),(2,5),(2,9),(3,5),(3,9),(4,6),(4,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[3,4,9,10,2,6,8,1,5,7] => ([(0,5),(0,9),(1,5),(1,9),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,4,7,8,2,6,10,1,5,9] => ([(0,3),(1,8),(1,9),(2,8),(2,9),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[9,3,4,7,10,2,6,8,1,5] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[8,9,10,3,4,7,2,6,1,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[5,3,6,2,4,8,10,1,7,9] => ([(0,6),(1,2),(1,6),(2,9),(3,4),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[5,3,6,9,10,2,4,8,1,7] => ([(0,7),(0,8),(0,9),(1,3),(1,8),(1,9),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[5,7,3,8,2,4,6,10,1,9] => ([(0,1),(1,9),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[5,7,9,3,10,2,4,6,8,1] => ([(0,6),(0,8),(0,9),(1,4),(1,6),(1,8),(1,9),(2,3),(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,9,10,3,7,2,4,6,1] => ([(0,2),(0,3),(0,6),(0,8),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,6,7,8,5,2,4,10,1,9] => ([(0,2),(1,8),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[9,3,6,7,5,10,2,4,8,1] => ([(0,7),(0,8),(0,9),(1,2),(1,8),(1,9),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,8,3,9,10,5,7,2,4,1] => ([(0,3),(0,5),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,8,9,10,3,6,5,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,6,3,2,8,10,1,7,9] => ([(0,6),(1,2),(1,6),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,6,3,9,10,2,8,1,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,5,3,8,2,6,10,1,9] => ([(0,1),(1,9),(2,3),(2,8),(2,9),(3,7),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,5,9,3,10,2,6,8,1] => ([(0,4),(0,5),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,8,5,9,10,3,7,2,6,1] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,4,8,3,5,2,10,1,9] => ([(0,1),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,9,4,3,5,10,2,8,1] => ([(0,1),(0,7),(0,9),(1,8),(1,9),(2,3),(2,4),(2,7),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,9,4,10,3,5,7,2,1] => ([(0,1),(0,5),(0,7),(0,8),(0,9),(1,4),(1,6),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,8,9,10,6,3,5,2,1] => ([(0,4),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,7,8,4,3,2,10,1,9] => ([(0,1),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,6,7,4,3,10,2,8,1] => ([(0,1),(0,8),(0,9),(1,7),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,5,6,4,10,3,7,2,1] => ([(0,1),(0,7),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,5,10,4,6,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,5,6,8,10,9,3,7] => ([(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,3,5,7,8,10,6,9,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,5,7,8,10,3,9,6] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9)],10)
[1,2,4,6,7,5,10,8,3,9] => ([(2,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[1,3,4,2,7,8,10,5,9,6] => ([(1,6),(2,6),(3,7),(3,9),(4,7),(4,9),(5,8),(5,9),(7,8),(8,9)],10)
[1,3,4,6,7,2,10,8,5,9] => ([(1,8),(2,8),(3,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9)],10)
[1,2,3,5,6,9,8,10,7,4] => ([(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,5,6,9,8,10,3,7] => ([(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,3,5,7,9,6,10,8,4] => ([(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[1,2,4,5,7,9,3,10,8,6] => ([(2,9),(3,9),(4,7),(4,8),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8)],10)
[1,2,4,6,5,9,7,10,3,8] => ([(2,9),(3,4),(3,9),(4,9),(5,6),(5,9),(6,8),(7,8),(7,9),(8,9)],10)
[1,3,4,2,7,9,5,10,8,6] => ([(1,6),(2,6),(3,4),(3,9),(4,7),(5,8),(5,9),(7,8),(7,9),(8,9)],10)
[1,3,4,6,2,9,7,10,5,8] => ([(1,8),(2,8),(3,5),(3,9),(4,8),(4,9),(5,7),(6,7),(6,9),(7,9)],10)
[1,2,3,5,8,7,9,6,10,4] => ([(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,5,8,7,9,3,10,6] => ([(2,9),(3,9),(4,8),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,4,6,8,5,9,3,10,7] => ([(2,8),(3,9),(4,7),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[1,2,4,7,6,8,5,9,3,10] => ([(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,4,2,8,7,9,5,10,6] => ([(1,9),(2,4),(3,4),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,3,4,6,8,2,9,5,10,7] => ([(1,7),(2,9),(3,9),(4,7),(4,8),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,3,4,7,6,8,2,9,5,10] => ([(2,9),(3,9),(4,8),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,2,3,6,5,9,7,10,8,4] => ([(3,4),(3,9),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,4,6,3,9,7,10,8,5] => ([(2,6),(3,6),(3,9),(4,8),(4,9),(5,7),(5,9),(7,8),(7,9),(8,9)],10)
[1,2,5,4,6,9,7,10,3,8] => ([(2,9),(3,4),(3,9),(4,9),(5,6),(5,9),(6,8),(7,8),(7,9),(8,9)],10)
[1,3,2,6,4,9,7,10,8,5] => ([(1,2),(3,4),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,5,2,6,9,7,10,4,8] => ([(1,7),(2,9),(3,5),(3,9),(4,7),(4,9),(5,8),(6,8),(6,9),(8,9)],10)
[1,2,3,6,8,5,9,7,10,4] => ([(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[1,2,4,6,8,3,9,7,10,5] => ([(2,8),(3,9),(4,7),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[1,2,5,4,8,6,9,3,10,7] => ([(2,8),(3,4),(3,9),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[1,2,5,7,4,8,6,9,3,10] => ([(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[1,3,2,6,8,4,9,7,10,5] => ([(1,2),(3,9),(4,7),(4,9),(5,6),(5,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,5,2,8,6,9,4,10,7] => ([(1,8),(2,6),(3,8),(3,9),(4,6),(4,9),(5,7),(5,9),(7,8),(7,9)],10)
[1,3,5,7,2,8,6,9,4,10] => ([(2,8),(3,9),(4,7),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[1,4,3,5,8,2,9,6,10,7] => ([(1,8),(2,9),(3,6),(3,8),(4,5),(4,9),(5,9),(6,7),(7,8),(7,9)],10)
[1,4,3,7,5,8,2,9,6,10] => ([(2,8),(3,4),(3,9),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[2,1,3,6,4,9,7,10,8,5] => ([(1,2),(3,4),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,5,3,6,9,7,10,4,8] => ([(0,1),(2,9),(3,4),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[2,1,3,6,8,4,9,7,10,5] => ([(1,2),(3,9),(4,7),(4,9),(5,6),(5,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,5,3,8,6,9,4,10,7] => ([(0,1),(2,7),(3,4),(4,9),(5,7),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[2,1,5,7,3,8,6,9,4,10] => ([(1,2),(3,9),(4,7),(4,9),(5,6),(5,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,1,5,8,3,9,6,10,7] => ([(0,6),(1,8),(2,9),(3,4),(3,7),(4,8),(5,6),(5,9),(7,8),(7,9)],10)
[2,4,1,7,5,8,3,9,6,10] => ([(1,8),(2,6),(3,8),(3,9),(4,6),(4,9),(5,7),(5,9),(7,8),(7,9)],10)
[5,6,1,2,3,7,8,9,10,4] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[2,5,1,3,6,7,8,9,10,4] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,8),(8,9)],10)
[3,2,1,5,6,7,8,9,10,4] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(7,8)],10)
[6,7,8,1,2,3,4,9,10,5] => ([(0,9),(1,9),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[2,6,7,1,3,4,8,9,10,5] => ([(0,9),(1,9),(2,9),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[6,3,4,1,2,7,8,9,10,5] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,6,1,4,7,8,9,10,5] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(5,6),(5,8),(6,8),(7,8),(7,9)],10)
[4,3,2,1,6,7,8,9,10,5] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],10)
[2,7,8,9,1,3,4,5,10,6] => ([(0,6),(1,5),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,3,4,8,1,2,5,9,10,6] => ([(0,8),(1,8),(2,7),(2,9),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[3,2,7,8,1,4,5,9,10,6] => ([(0,9),(1,9),(2,3),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,7,2,5,1,3,8,9,10,6] => ([(0,8),(1,8),(2,8),(3,4),(3,6),(3,9),(4,5),(4,7),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[4,3,2,7,1,5,8,9,10,6] => ([(0,8),(1,8),(2,8),(3,4),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,9)],10)
[5,4,3,2,1,7,8,9,10,6] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],10)
[8,3,4,9,10,1,2,5,6,7] => ([(0,5),(0,6),(0,9),(1,5),(1,6),(1,9),(2,5),(2,6),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[8,9,4,5,6,1,2,3,10,7] => ([(0,1),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,3,2,8,9,1,5,6,10,7] => ([(0,6),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,9),(4,5),(4,9),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[8,5,6,3,4,1,2,9,10,7] => ([(0,2),(1,2),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[5,3,8,2,6,1,4,9,10,7] => ([(0,5),(1,5),(2,3),(2,8),(2,9),(3,6),(3,8),(4,6),(4,7),(4,9),(5,8),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,8,1,6,9,10,7] => ([(0,4),(1,4),(2,3),(3,4),(3,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,4,3,2,1,8,9,10,7] => ([(0,3),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,9,10,2,6,7,1,3,4,8] => ([(0,8),(0,9),(1,2),(1,5),(1,6),(1,7),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,5,6,3,4,10,1,2,7,8] => ([(0,2),(0,9),(1,2),(1,9),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[5,3,9,2,6,10,1,4,7,8] => ([(0,7),(0,9),(1,7),(1,9),(2,5),(2,6),(2,8),(3,4),(3,8),(3,9),(4,5),(4,7),(4,9),(5,6),(5,8),(6,8),(6,9),(7,8),(8,9)],10)
[5,4,3,2,9,10,1,6,7,8] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,6),(5,9),(6,9),(7,9),(8,9)],10)
[6,9,4,7,2,5,1,3,10,8] => ([(0,1),(1,9),(2,3),(2,5),(2,6),(2,7),(2,9),(3,4),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,4,3,9,2,7,1,5,10,8] => ([(0,1),(1,8),(2,3),(2,7),(2,8),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[6,5,4,3,2,9,1,7,10,8] => ([(0,3),(1,2),(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,2,1,9,10,8] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,8,5,6,3,4,1,2,9] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,5,10,3,8,2,6,1,4,9] => ([(0,9),(1,2),(1,3),(1,4),(1,6),(1,9),(2,3),(2,6),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[7,5,4,3,10,2,8,1,6,9] => ([(0,6),(1,2),(1,6),(1,8),(2,6),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,5,4,3,2,10,1,8,9] => ([(0,2),(1,2),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,8,7,4,3,6,5,10,9] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,6,5,7,9,10,8] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[2,1,4,3,5,7,8,6,10,9] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[2,1,4,3,5,7,6,9,10,8] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[2,1,4,3,5,6,8,9,10,7] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[2,1,3,5,6,4,8,7,10,9] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[2,1,3,5,6,4,7,9,10,8] => ([(2,3),(4,9),(5,9),(6,8),(7,8)],10)
[2,1,3,5,4,7,8,6,10,9] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[2,1,3,5,4,7,6,9,10,8] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[2,1,3,5,4,6,8,9,10,7] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[2,1,3,4,6,7,8,5,10,9] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[2,1,3,4,6,7,5,9,10,8] => ([(2,3),(4,9),(5,9),(6,8),(7,8)],10)
[2,1,3,4,6,5,8,9,10,7] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[2,1,3,4,5,7,8,9,10,6] => ([(3,4),(5,9),(6,9),(7,9),(8,9)],10)
[1,3,4,2,6,5,7,9,10,8] => ([(2,3),(4,9),(5,9),(6,8),(7,8)],10)
[1,3,4,2,5,7,8,6,10,9] => ([(2,3),(4,9),(5,9),(6,8),(7,8)],10)
[1,3,4,2,5,7,6,9,10,8] => ([(2,3),(4,9),(5,9),(6,8),(7,8)],10)
[1,3,4,2,5,6,8,9,10,7] => ([(3,9),(4,9),(5,9),(6,8),(7,8)],10)
[1,3,2,5,6,4,8,7,10,9] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[1,3,2,5,6,4,7,9,10,8] => ([(2,3),(4,9),(5,9),(6,8),(7,8)],10)
[1,3,2,5,4,7,8,6,10,9] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[1,3,2,5,4,7,6,9,10,8] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[1,3,2,5,4,6,8,9,10,7] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[1,3,2,4,6,7,8,5,10,9] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[1,3,2,4,6,7,5,9,10,8] => ([(2,3),(4,9),(5,9),(6,8),(7,8)],10)
[1,3,2,4,6,5,8,9,10,7] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[1,3,2,4,5,7,8,9,10,6] => ([(3,4),(5,9),(6,9),(7,9),(8,9)],10)
[1,2,4,5,6,3,8,7,10,9] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[1,2,4,5,6,3,7,9,10,8] => ([(3,9),(4,9),(5,9),(6,8),(7,8)],10)
[1,2,4,5,3,7,8,6,10,9] => ([(2,3),(4,9),(5,9),(6,8),(7,8)],10)
[1,2,4,5,3,7,6,9,10,8] => ([(2,3),(4,9),(5,9),(6,8),(7,8)],10)
[1,2,4,5,3,6,8,9,10,7] => ([(3,9),(4,9),(5,9),(6,8),(7,8)],10)
[1,2,4,3,6,7,8,5,10,9] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[1,2,4,3,6,7,5,9,10,8] => ([(2,3),(4,9),(5,9),(6,8),(7,8)],10)
[1,2,4,3,6,5,8,9,10,7] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[1,2,4,3,5,7,8,9,10,6] => ([(3,4),(5,9),(6,9),(7,9),(8,9)],10)
[1,2,3,5,6,7,8,4,10,9] => ([(3,4),(5,9),(6,9),(7,9),(8,9)],10)
[1,2,3,5,6,7,4,9,10,8] => ([(3,9),(4,9),(5,9),(6,8),(7,8)],10)
[1,2,3,5,6,4,8,9,10,7] => ([(3,9),(4,9),(5,9),(6,8),(7,8)],10)
[1,2,3,5,4,7,8,9,10,6] => ([(3,4),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,10,8,9,7,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,10,7,8,9,6,1] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,10,6,7,8,9,5,1] => ([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,10,5,6,7,8,9,4,1] => ([(0,9),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,4,5,6,7,8,9,3,1] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,4,5,6,7,8,9,2,1] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,7,4,8,3,10,1,9,2] => ([(0,2),(0,9),(1,7),(1,8),(1,9),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[6,5,7,4,10,1,9,2,8,3] => ([(0,2),(0,6),(0,9),(1,5),(1,7),(1,8),(1,9),(2,6),(2,7),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[6,5,10,1,9,2,8,3,7,4] => ([(0,5),(0,6),(0,9),(1,5),(1,6),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(6,7),(7,8),(7,9),(8,9)],10)
[5,10,1,9,2,8,3,7,4,6] => ([(0,4),(0,9),(1,4),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,4,10,1,9,2,8,3,7] => ([(0,4),(0,7),(0,9),(1,2),(1,3),(1,6),(1,9),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(4,7),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(7,8),(7,9),(8,9)],10)
[5,6,4,7,3,10,1,9,2,8] => ([(0,2),(0,5),(1,7),(1,8),(1,9),(2,5),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[5,6,4,7,3,8,2,10,1,9] => ([(0,2),(1,8),(1,9),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,10,1,3,4,5,6,9,7,8] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,9,1,3,4,5,6,7,10,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[10,3,1,2,4,5,6,9,7,8] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[3,1,10,2,4,5,6,9,7,8] => ([(0,9),(1,9),(2,9),(3,6),(4,8),(4,9),(5,8),(5,9),(6,7),(7,9),(8,9)],10)
[9,3,1,2,4,5,6,7,10,8] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,9,2,4,5,6,7,10,8] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(5,6),(6,9),(7,8),(8,9)],10)
[10,9,3,4,5,6,7,8,1,2] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,2,3,4,5,6,7,1,8] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,4,5,6,7,8,9,2,1,3] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,4,5,6,7,8,2,1,9] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,8,5,2,9,6,3,10,7,4] => ([(1,7),(1,9),(2,6),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,3,8,7,6,5,4,2,1] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,6,4,5,3,2,1,10,9] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,6,5,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,1,9,10,2,3,4,5,6,7] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,4,5,6,7,10,1,2,8,9] => ([(0,7),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,5,6,9,10,1,2,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,5,8,9,10,1,2,6,7] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,7,8,9,10,1,2,5,6] => ([(0,8),(0,9),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,6,7,8,9,10,1,2,4,5] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[2,1,4,3,6,5,10,7,9,8] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,8,5,7,6,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,10,9,7,5,6,8] => ([(0,3),(1,2),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,10,5,6,8,9,7] => ([(0,3),(1,2),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,3,5,4,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,6,3,5,4,10,7,9,8] => ([(0,1),(2,9),(3,8),(4,5),(4,8),(5,8),(6,7),(6,9),(7,9)],10)
[2,1,8,7,5,3,4,6,10,9] => ([(0,3),(1,2),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,7,5,9,4,3,6,8] => ([(0,1),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[2,1,10,8,5,3,6,4,9,7] => ([(0,1),(2,5),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,8,3,4,6,7,5,10,9] => ([(0,3),(1,2),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,9,4,6,7,3,5,8] => ([(0,1),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,3,9,6,4,8,5,7] => ([(0,1),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,3,4,5,7,8,9,6] => ([(0,1),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,3,2,6,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,3,2,6,5,10,7,9,8] => ([(0,1),(2,9),(3,8),(4,5),(4,8),(5,8),(6,7),(6,9),(7,9)],10)
[4,1,3,2,8,5,7,6,10,9] => ([(0,1),(2,9),(3,8),(4,5),(4,8),(5,8),(6,7),(6,9),(7,9)],10)
[4,1,3,2,10,9,7,5,6,8] => ([(0,6),(1,2),(1,6),(2,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(7,8),(7,9),(8,9)],10)
[4,1,3,2,10,5,6,8,9,7] => ([(0,8),(1,9),(2,9),(3,4),(3,8),(4,8),(5,7),(5,9),(6,7),(6,9),(7,9)],10)
[6,5,3,1,2,4,10,7,9,8] => ([(0,6),(1,2),(1,6),(2,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(7,8),(7,9),(8,9)],10)
[8,5,3,7,2,1,4,6,10,9] => ([(0,1),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,5,3,7,2,9,4,1,6,8] => ([(0,7),(0,9),(1,6),(1,7),(1,9),(2,4),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,3,8,2,1,6,4,9,7] => ([(0,2),(0,9),(1,4),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,6,3,1,4,2,7,5,10,9] => ([(0,1),(2,5),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,3,9,4,2,7,1,5,8] => ([(0,8),(0,9),(1,2),(1,7),(1,8),(1,9),(2,5),(2,8),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,3,1,9,2,4,8,5,7] => ([(0,6),(0,8),(0,9),(1,5),(1,7),(1,9),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[10,7,3,1,4,5,2,8,9,6] => ([(0,6),(0,9),(1,6),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,1,2,4,5,3,8,7,10,9] => ([(0,3),(1,2),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,1,2,4,5,3,10,7,9,8] => ([(0,8),(1,9),(2,9),(3,4),(3,8),(4,8),(5,7),(5,9),(6,7),(6,9),(7,9)],10)
[8,7,2,4,5,1,3,6,10,9] => ([(0,1),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,2,4,5,9,3,1,6,8] => ([(0,5),(0,9),(1,7),(1,8),(1,9),(2,5),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,2,4,5,1,6,3,9,7] => ([(0,3),(0,9),(1,7),(1,8),(1,9),(2,6),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,1,7,4,2,6,3,5,10,9] => ([(0,1),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,7,4,2,6,3,1,5,8] => ([(0,8),(0,9),(1,5),(1,7),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,8,4,9,6,2,3,5,7] => ([(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,1,8,4,2,5,7,3,9,6] => ([(0,9),(1,6),(1,9),(2,5),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,1,2,3,5,6,7,4,10,9] => ([(0,1),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,2,3,5,6,7,1,4,8] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,9,3,5,6,2,8,4,7] => ([(0,9),(1,7),(1,8),(1,9),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,9,5,3,7,8,4,6] => ([(0,9),(1,9),(2,6),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,7,6,5,4,3,8,2,1] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,1,5,6,7,8,9,10] => ([(6,9),(7,8),(7,9),(8,9)],10)
[3,4,2,5,1,6,7,8,9,10] => ([(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,5,2,6,1,7,8,9,10] => ([(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,3,6,2,7,1,8,9,10] => ([(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,6,3,7,2,8,1,9,10] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,6,5,10,7,8,9] => ([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10)
[2,1,4,3,8,5,6,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10)
[2,1,4,3,10,9,6,5,8,7] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,10,5,6,7,8,9] => ([(0,3),(1,2),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,1,6,3,4,5,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10)
[2,1,6,3,4,5,10,7,8,9] => ([(0,1),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10)
[2,1,10,7,4,9,6,3,8,5] => ([(0,1),(2,7),(2,8),(2,9),(3,5),(3,6),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,9,4,3,6,7,8,5] => ([(0,1),(2,3),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,8,3,4,5,6,7,10,9] => ([(0,3),(1,2),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,1,10,9,4,5,6,3,8,7] => ([(0,1),(2,3),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,10,3,8,5,4,7,6,9] => ([(0,1),(2,9),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,2,3,6,5,10,7,8,9] => ([(0,1),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10)
[4,1,2,3,8,5,6,7,10,9] => ([(0,1),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8)],10)
[4,1,2,3,10,9,6,5,8,7] => ([(0,7),(1,7),(2,7),(3,6),(3,8),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[6,5,2,1,4,3,8,7,10,9] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,2,1,4,3,10,7,8,9] => ([(0,7),(1,7),(2,7),(3,6),(3,8),(3,9),(4,5),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[8,5,2,7,4,1,6,3,10,9] => ([(0,1),(2,7),(2,8),(2,9),(3,5),(3,6),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,5,2,7,4,9,6,1,8,3] => ([(0,6),(0,8),(0,9),(1,5),(1,7),(1,9),(2,3),(2,4),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,5,2,9,4,1,6,7,8,3] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,7,2,1,4,5,6,3,10,9] => ([(0,1),(2,3),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,2,9,4,5,6,1,8,3] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,2,1,8,5,4,7,6,3] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,2,1,4,5,6,7,8,3] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,1,2,3,4,5,8,7,10,9] => ([(0,3),(1,2),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[8,7,2,3,4,1,6,5,10,9] => ([(0,1),(2,3),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,2,3,4,9,6,1,8,5] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,2,3,4,1,6,7,8,5] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,1,6,3,2,5,4,7,10,9] => ([(0,1),(2,9),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,6,3,2,5,4,1,8,7] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,6,3,8,5,2,7,4,9] => ([(0,9),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,8,3,2,5,6,7,4,9] => ([(0,9),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,2,3,4,5,6,1,8,7] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,8,3,4,5,2,7,6,9] => ([(0,9),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,7,4,3,6,5,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,9,7,5,3,10,8,6,4] => ([(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,1,5,6,7,8,10,3,9] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(5,6),(6,9),(7,8),(8,9)],10)
[1,3,5,7,2,9,4,6,8,10] => ([(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9)],10)
[1,3,5,7,2,9,4,10,6,8] => ([(1,9),(2,5),(2,9),(3,4),(3,7),(4,8),(5,6),(5,7),(6,8),(6,9),(7,8)],10)
[1,3,5,7,2,8,4,9,6,10] => ([(2,9),(3,8),(4,7),(4,8),(5,7),(5,9),(6,7),(6,8),(6,9)],10)
[1,3,5,6,2,7,4,9,8,10] => ([(2,3),(4,9),(5,8),(6,8),(6,9),(7,8),(7,9)],10)
[1,3,4,5,2,7,6,9,8,10] => ([(2,5),(3,4),(6,9),(7,9),(8,9)],10)
[1,10,9,8,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,8,7,6,4,3,2,5] => ([(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,8,7,5,4,3,2,6] => ([(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,8,6,5,4,3,2,7] => ([(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,7,6,5,4,3,2,8] => ([(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,8,7,6,5,4,3,2,9] => ([(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,2,3,4,5,6,7,1,8] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,10,2,3,4,5,6,1,7] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,9,10,2,3,4,5,1,6] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[5,6,7,8,9,10,2,3,1,4] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(7,9),(8,9)],10)
[4,5,6,7,8,9,10,2,1,3] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[8,10,3,4,5,6,7,2,1,9] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[3,10,2,1,5,6,7,8,9,4] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(6,7),(6,9),(7,9),(8,9)],10)
[3,9,1,4,5,6,7,8,2,10] => ([(1,2),(1,9),(2,8),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,3,10,5,7,6,9,8] => ([(0,3),(1,2),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,1,4,3,9,6,10,5,8,7] => ([(0,3),(1,2),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
[2,1,8,3,5,4,7,6,10,9] => ([(0,3),(1,2),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,1,10,3,5,4,7,6,9,8] => ([(0,9),(1,2),(3,8),(3,9),(4,7),(4,9),(5,6),(5,9),(6,9),(7,9),(8,9)],10)
[2,1,9,6,10,3,5,4,8,7] => ([(0,1),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,7,4,8,3,6,5,10,9] => ([(0,3),(1,2),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
[2,1,7,4,10,3,6,5,9,8] => ([(0,1),(2,3),(2,9),(3,9),(4,5),(4,8),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,1,10,3,6,5,9,4,8,7] => ([(0,9),(1,2),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,9,4,8,5,10,3,7,6] => ([(0,1),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,3,2,10,5,7,6,9,8] => ([(0,9),(1,8),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,7),(6,8),(7,8)],10)
[4,1,3,2,9,6,10,5,8,7] => ([(0,8),(1,7),(1,9),(2,3),(2,8),(3,8),(4,5),(4,6),(4,7),(5,6),(5,9),(6,9),(7,9)],10)
[6,1,3,2,5,4,8,7,10,9] => ([(0,3),(1,2),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[6,1,3,2,5,4,10,7,9,8] => ([(0,9),(1,8),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,7),(6,8),(7,8)],10)
[8,1,3,2,5,4,7,6,10,9] => ([(0,9),(1,2),(3,8),(3,9),(4,7),(4,9),(5,6),(5,9),(6,9),(7,9),(8,9)],10)
[9,6,10,1,3,2,5,4,8,7] => ([(0,7),(0,8),(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[7,4,8,1,3,2,6,5,10,9] => ([(0,1),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,4,10,1,3,2,6,5,9,8] => ([(0,1),(0,9),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,1,3,2,6,5,9,4,8,7] => ([(0,9),(1,2),(1,9),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[9,4,8,5,10,1,3,2,7,6] => ([(0,1),(0,3),(0,8),(0,9),(1,3),(1,8),(1,9),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,2,6,1,4,3,8,7,10,9] => ([(0,3),(1,2),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
[5,2,6,1,4,3,10,7,9,8] => ([(0,8),(1,7),(1,9),(2,3),(2,8),(3,8),(4,5),(4,6),(4,7),(5,6),(5,9),(6,9),(7,9)],10)
[5,2,8,1,4,3,7,6,10,9] => ([(0,1),(2,3),(2,9),(3,9),(4,5),(4,8),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[5,2,10,1,4,3,7,6,9,8] => ([(0,3),(0,9),(1,2),(1,9),(2,9),(3,9),(4,5),(4,8),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[5,2,9,6,10,1,4,3,8,7] => ([(0,4),(0,8),(1,2),(1,7),(1,9),(2,7),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[8,1,4,3,7,2,6,5,10,9] => ([(0,9),(1,2),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,4,3,7,2,6,5,9,8] => ([(0,9),(1,2),(1,9),(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[9,2,6,5,10,1,4,3,8,7] => ([(0,8),(0,9),(1,2),(1,7),(1,9),(2,7),(2,9),(3,4),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[10,1,4,3,8,5,9,2,7,6] => ([(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,6,3,8,1,5,4,10,9] => ([(0,1),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,6,3,10,1,5,4,9,8] => ([(0,1),(0,6),(1,6),(2,7),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[10,1,5,4,9,2,6,3,8,7] => ([(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[8,3,10,1,5,4,9,2,7,6] => ([(0,1),(0,8),(0,9),(1,7),(1,9),(2,3),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,3,9,2,7,4,10,1,6,5] => ([(0,4),(0,5),(0,8),(1,2),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[1,2,3,4,5,6,8,9,7,10] => ([(7,9),(8,9)],10)
[10,1,2,3,4,5,9,7,6,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,2,3,4,9,6,7,5,8] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,2,3,10,5,6,7,4,8] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,1,2,9,4,5,6,7,3,8] => ([(0,9),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,9,3,4,5,6,7,2,8] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,1,2,3,4,5,10,6,9,7] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9)],10)
[7,1,2,3,4,9,5,6,10,8] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,8),(6,8),(6,9),(7,8),(7,9)],10)
[6,1,2,3,9,4,5,7,10,8] => ([(0,9),(1,9),(2,9),(3,8),(4,5),(5,8),(6,8),(6,9),(7,8),(7,9)],10)
[5,1,2,10,3,4,6,7,9,8] => ([(0,9),(1,9),(2,8),(3,8),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9)],10)
[4,1,9,2,3,5,6,7,10,8] => ([(0,9),(1,9),(2,9),(3,8),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,9,1,2,4,5,6,7,10,8] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,2,1,3,4,5,6,7,9,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[1,2,3,4,5,7,8,6,9,10] => ([(7,9),(8,9)],10)
[1,2,3,4,5,7,8,9,6,10] => ([(6,9),(7,9),(8,9)],10)
[2,4,5,6,1,7,8,9,10,3] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,5,6,1,7,8,9,10,4] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(6,9),(7,8),(7,9)],10)
[9,8,10,1,4,5,6,7,2,3] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[7,1,10,9,2,3,4,5,6,8] => ([(0,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[6,7,9,1,2,3,4,5,10,8] => ([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[2,8,1,9,10,3,4,5,6,7] => ([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,7,1,10,2,3,4,5,6,9] => ([(0,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[1,5,2,8,6,3,10,9,7,4] => ([(1,6),(2,5),(2,6),(2,8),(3,4),(3,7),(3,9),(4,7),(4,9),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,5,2,8,6,3,10,9,7] => ([(0,8),(1,2),(1,8),(2,9),(3,4),(3,6),(4,6),(5,7),(5,9),(6,7),(7,9),(8,9)],10)
[1,7,5,2,8,6,3,10,9,4] => ([(1,2),(1,9),(2,9),(3,5),(3,8),(4,6),(4,7),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[4,1,7,5,2,8,3,10,9,6] => ([(0,6),(1,2),(1,7),(2,7),(3,7),(3,8),(4,5),(4,8),(4,9),(5,6),(5,9),(6,8),(7,9),(8,9)],10)
[6,4,1,7,5,2,8,3,10,9] => ([(0,1),(2,8),(3,7),(3,9),(4,5),(4,6),(4,8),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,1,7,2,8,5,10,9,6] => ([(0,5),(0,6),(1,2),(1,9),(2,9),(3,4),(3,9),(4,8),(5,7),(6,7),(7,8),(8,9)],10)
[3,6,4,1,7,2,8,5,10,9] => ([(0,1),(2,6),(3,6),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,8),(7,8),(8,9)],10)
[1,5,2,9,8,6,3,10,7,4] => ([(1,3),(2,6),(2,9),(3,5),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,5,2,9,8,6,3,10,7] => ([(0,5),(1,6),(2,3),(2,6),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,7,5,2,9,6,3,10,8,4] => ([(1,7),(1,8),(2,3),(2,9),(3,6),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,7,5,2,9,3,10,8,6] => ([(0,6),(1,5),(1,9),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(4,7),(4,8),(5,9),(6,8),(7,8),(7,9)],10)
[4,1,9,6,5,2,7,3,10,8] => ([(0,3),(1,4),(2,8),(2,9),(3,9),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,4,1,7,2,9,5,10,8,6] => ([(0,1),(0,2),(1,5),(2,5),(3,6),(3,9),(4,7),(4,8),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
[3,6,1,9,4,2,7,5,10,8] => ([(0,4),(1,2),(1,8),(2,7),(3,5),(3,9),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[1,8,7,5,2,9,6,3,10,4] => ([(1,9),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,8,7,5,2,9,3,10,6] => ([(0,6),(1,3),(2,6),(2,9),(3,5),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[6,4,1,8,5,2,9,3,10,7] => ([(0,3),(1,7),(1,8),(2,3),(2,9),(3,6),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[7,6,4,1,8,5,2,9,3,10] => ([(1,9),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,1,8,7,2,9,5,10,6] => ([(0,9),(1,2),(1,3),(2,6),(3,6),(4,5),(4,9),(5,7),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[3,6,4,1,8,2,9,5,10,7] => ([(0,7),(1,6),(1,9),(2,5),(2,7),(3,5),(3,7),(3,9),(4,6),(4,8),(4,9),(5,8),(6,8),(8,9)],10)
[3,7,6,4,1,8,2,9,5,10] => ([(1,6),(2,5),(2,9),(3,6),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[1,9,6,5,2,7,3,10,8,4] => ([(1,4),(1,8),(2,6),(2,7),(2,9),(3,5),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,1,9,4,2,7,3,10,8,5] => ([(0,8),(1,4),(1,7),(2,5),(2,8),(2,9),(3,6),(3,7),(3,9),(4,7),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[5,4,1,9,6,2,7,3,10,8] => ([(0,3),(1,8),(1,9),(2,5),(2,6),(3,8),(4,7),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[9,3,1,6,2,7,4,10,8,5] => ([(0,5),(0,9),(1,6),(1,8),(2,3),(2,8),(2,9),(3,7),(3,9),(4,5),(4,7),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,3,1,6,2,7,4,10,8] => ([(0,2),(1,7),(1,9),(2,9),(3,5),(3,7),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,1,8,5,2,9,7,3,10,4] => ([(0,8),(1,9),(2,5),(2,7),(2,8),(3,4),(3,6),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[6,4,1,8,2,9,7,3,10,5] => ([(0,9),(1,6),(1,8),(2,4),(2,6),(2,8),(3,5),(3,7),(3,9),(4,5),(4,7),(4,9),(5,7),(5,9),(6,7),(6,8),(7,8),(8,9)],10)
[8,5,4,1,6,2,9,3,10,7] => ([(0,4),(1,4),(1,8),(2,6),(2,7),(2,9),(3,5),(3,8),(3,9),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,7,4,1,8,6,2,9,3,10] => ([(1,9),(2,4),(2,6),(2,7),(3,5),(3,8),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,6,1,8,2,9,7,4,10,5] => ([(0,9),(1,2),(1,8),(2,4),(3,6),(3,7),(3,9),(4,5),(4,8),(5,6),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[5,8,3,1,6,2,9,4,10,7] => ([(0,4),(1,4),(1,8),(2,5),(2,6),(2,9),(3,7),(3,8),(3,9),(4,9),(5,6),(5,7),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
[5,3,7,1,8,6,2,9,4,10] => ([(1,9),(2,4),(2,5),(2,8),(3,6),(3,8),(3,9),(4,5),(4,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,3,8,1,9,5,2,6,10,7] => ([(0,6),(1,7),(1,9),(2,3),(2,4),(2,9),(3,4),(3,8),(4,8),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[7,4,3,5,1,8,2,9,6,10] => ([(1,4),(2,4),(2,8),(3,7),(3,8),(3,9),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,6,2,1,3,7,4,10,8,5] => ([(0,8),(0,9),(1,6),(1,7),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[5,9,2,1,6,3,7,4,10,8] => ([(0,2),(1,8),(1,9),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[6,8,2,1,3,9,7,4,10,5] => ([(0,8),(1,7),(1,9),(2,3),(2,7),(2,9),(3,7),(3,9),(4,5),(4,6),(4,8),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[8,2,5,1,6,3,9,4,10,7] => ([(0,6),(1,6),(1,8),(2,5),(2,9),(3,4),(3,8),(3,9),(4,7),(4,9),(5,7),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,7,1,8,6,3,9,4,10] => ([(1,5),(2,9),(3,5),(3,6),(3,9),(4,6),(4,7),(4,9),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[2,4,8,1,9,5,3,6,10,7] => ([(0,5),(1,6),(2,6),(2,8),(3,7),(3,9),(4,7),(4,8),(4,9),(5,7),(5,9),(6,9),(7,8),(8,9)],10)
[5,6,4,3,2,1,7,8,9,10] => ([(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,5,4,3,2,1,8,9,10] => ([(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,1,5,6,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,9,8,5,7,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,4,7,6,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,4,8,7,6,5,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,9,8,7,6,5,4,2,1] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,2,9,8,7,6,5,4,3,1] => ([(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,2,1,6,4,3,5,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,10,2,1,8,4,3,5,6,9] => ([(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[2,9,1,10,7,4,3,5,6,8] => ([(0,2),(1,7),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,8,1,9,4,3,10,5,6,7] => ([(0,1),(1,9),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,8,5,2,1,6,3,4,7,9] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,2,1,10,6,3,4,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,3),(2,7),(2,9),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[10,7,2,1,8,5,3,4,6,9] => ([(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[9,2,1,10,7,5,3,4,6,8] => ([(0,1),(0,9),(1,9),(2,7),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,8,1,9,3,10,5,4,6,7] => ([(0,2),(1,8),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,6,2,1,7,3,8,4,5,9] => ([(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,2,1,10,6,3,7,4,5,8] => ([(0,1),(0,9),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,2,1,9,3,10,6,4,5,7] => ([(0,1),(0,9),(1,9),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,8),(7,9)],10)
[7,2,1,8,3,9,4,10,5,6] => ([(0,1),(0,9),(1,9),(2,8),(2,9),(3,6),(3,7),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,8,6,3,1,4,2,5,7,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,9,1,10,6,4,2,5,7,8] => ([(0,3),(0,9),(1,8),(1,9),(2,8),(2,9),(3,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,3,1,8,4,2,5,6,9] => ([(0,9),(1,6),(1,8),(1,9),(2,6),(2,8),(2,9),(3,4),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[9,3,1,10,7,4,2,5,6,8] => ([(0,8),(0,9),(1,4),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,3,1,9,4,2,10,5,6,7] => ([(0,6),(0,9),(1,2),(1,3),(1,4),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[10,8,5,1,6,3,2,4,7,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,1,10,6,3,2,4,7,8] => ([(0,7),(0,9),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,9)],10)
[10,7,1,8,5,3,2,4,6,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,1,10,7,5,3,2,4,6,8] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,3,1,9,2,10,5,4,6,7] => ([(0,4),(0,9),(1,4),(1,8),(1,9),(2,5),(2,8),(2,9),(3,5),(3,8),(3,9),(4,9),(5,6),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,6,1,7,3,2,8,4,5,9] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,1,10,6,3,2,7,4,5,8] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,1,9,3,2,10,6,4,5,7] => ([(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,8),(7,9)],10)
[7,1,8,3,2,9,4,10,5,6] => ([(0,9),(1,6),(1,7),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,8,4,1,5,2,6,3,7,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,4,1,10,5,2,6,3,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,4),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,1,8,4,2,5,3,6,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,1,10,7,4,2,5,3,6,8] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,1,9,4,2,10,5,3,6,7] => ([(0,9),(1,5),(1,8),(1,9),(2,5),(2,8),(2,9),(3,4),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,6,1,7,2,8,4,3,5,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,1,10,6,2,7,4,3,5,8] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,1,9,2,10,6,4,3,5,7] => ([(0,9),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,8),(7,9)],10)
[7,1,8,2,9,4,3,10,5,6] => ([(0,9),(1,6),(1,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,5),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,5,1,6,2,7,3,8,4,9] => ([(0,9),(1,8),(1,9),(2,7),(2,9),(3,6),(3,7),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,1,10,5,2,6,3,7,4,8] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,1,9,2,10,5,3,6,4,7] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[7,1,8,2,9,3,10,5,4,6] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,2,3,1,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,6,5,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,4,5,7,6,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,5,4,6,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,4,2,5,6,7,8,9,10] => ([(7,9),(8,9)],10)
[1,2,4,5,6,3,7,8,9,10] => ([(6,9),(7,9),(8,9)],10)
[1,2,3,5,6,7,8,4,9,10] => ([(5,9),(6,9),(7,9),(8,9)],10)
[2,1,5,3,6,7,4,8,9,10] => ([(3,4),(5,9),(6,9),(7,8),(8,9)],10)
[1,3,5,6,4,2,7,8,9,10] => ([(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,2,1,6,4,7,8,9,10] => ([(4,6),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[2,1,3,6,4,7,8,9,5,10] => ([(2,3),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,3,4,6,7,2,8,5,9,10] => ([(3,9),(4,9),(5,8),(6,8),(6,9),(7,8),(7,9)],10)
[3,2,6,1,4,7,8,5,9,10] => ([(2,7),(3,7),(4,8),(5,6),(5,9),(6,9),(7,8),(8,9)],10)
[2,4,6,1,7,5,3,8,9,10] => ([(3,8),(4,7),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[4,6,3,2,1,7,5,8,9,10] => ([(3,4),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,4,2,7,8,5,9,10,6] => ([(1,9),(2,9),(3,5),(4,5),(6,8),(6,9),(7,8),(7,9)],10)
[3,2,1,7,4,5,8,9,10,6] => ([(0,9),(1,9),(2,9),(3,8),(4,8),(5,6),(5,7),(6,7),(8,9)],10)
[1,2,4,5,7,8,9,6,3,10] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,3,7,2,1,5,8,9,6,10] => ([(1,7),(2,4),(3,4),(4,7),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,5,7,8,6,4,2,9,10] => ([(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,7,2,1,8,6,4,9,10] => ([(2,7),(2,8),(3,5),(3,9),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,8)],10)
[5,7,4,3,2,1,8,6,9,10] => ([(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,5,3,8,6,9,10,7,4] => ([(0,3),(1,2),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,5,6,8,9,4,2,10,7] => ([(1,7),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[3,5,2,8,1,6,9,4,10,7] => ([(0,6),(1,6),(1,8),(2,7),(2,8),(3,5),(3,9),(4,5),(4,8),(4,9),(5,9),(6,7),(7,8),(7,9)],10)
[5,4,8,3,2,1,6,9,10,7] => ([(0,9),(1,3),(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,6,8,1,9,7,5,3,10] => ([(1,7),(2,7),(2,9),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[4,6,8,3,2,1,9,7,5,10] => ([(1,3),(1,5),(2,7),(2,8),(2,9),(3,5),(3,6),(4,5),(4,7),(4,8),(4,9),(5,6),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,8,5,4,3,2,1,9,7,10] => ([(1,2),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,7,9,2,1,10,8,6,4] => ([(0,7),(0,8),(1,4),(1,6),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8)],10)
[5,7,9,4,3,2,1,10,8,6] => ([(0,1),(0,3),(1,3),(1,9),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,9,6,5,4,3,2,1,10,8] => ([(0,1),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,7,5,6,1,10,9,4,8] => ([(0,9),(1,9),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(6,8),(7,8),(7,9)],10)
[2,3,4,10,6,9,8,5,1,7] => ([(0,9),(1,9),(2,9),(3,5),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,6,5,9,10,8,4,1,7] => ([(0,9),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,9,5,8,7,4,1,10,6] => ([(0,9),(1,9),(2,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,4,9,6,10,8,3,1,7] => ([(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,4,8,9,7,3,1,10,6] => ([(0,6),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[2,3,4,10,6,7,1,9,8,5] => ([(0,9),(1,9),(2,9),(3,4),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,7,5,6,1,10,9,8,4] => ([(0,8),(1,8),(2,3),(2,4),(2,9),(3,4),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,4,10,6,8,9,1,7,5] => ([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(8,9)],10)
[2,3,6,5,8,10,9,1,7,4] => ([(0,9),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[2,3,8,5,7,9,1,10,6,4] => ([(0,8),(1,8),(2,7),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[2,5,4,8,6,10,9,1,7,3] => ([(0,9),(1,7),(1,8),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,5,4,7,8,9,1,10,6,3] => ([(0,8),(1,7),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[2,3,4,10,6,9,8,7,5,1] => ([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,6,5,9,10,8,7,4,1] => ([(0,9),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,7,5,9,8,10,6,4,1] => ([(0,9),(1,9),(2,6),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,9,5,8,7,6,4,1,10] => ([(1,9),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,4,9,6,10,8,7,3,1] => ([(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,5),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,4,9,7,8,10,6,3,1] => ([(0,9),(1,2),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,4,8,9,7,6,3,1,10] => ([(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,10,7,9,8,1,6,5] => ([(0,9),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(8,9)],10)
[2,3,5,7,10,9,8,1,6,4] => ([(0,9),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8)],10)
[2,3,8,6,9,7,1,10,5,4] => ([(0,9),(1,9),(2,7),(2,8),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8)],10)
[2,4,7,5,10,9,8,1,6,3] => ([(0,9),(1,8),(1,9),(2,3),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8)],10)
[2,4,6,8,9,7,1,10,5,3] => ([(0,8),(1,8),(1,9),(2,7),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[2,3,4,10,7,8,9,6,5,1] => ([(0,9),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,5,7,10,8,9,6,4,1] => ([(0,9),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,7,6,8,9,10,5,4,1] => ([(0,9),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,9,6,7,8,5,4,1,10] => ([(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,7,5,10,8,9,6,3,1] => ([(0,9),(1,8),(1,9),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,6,7,8,9,10,5,3,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,6,9,7,8,5,3,1,10] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,6,5,8,9,7,10,4,3,1] => ([(0,9),(1,7),(1,8),(1,9),(2,3),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,6,5,7,8,9,4,3,1,10] => ([(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,7,4,5,10,9,8,1,6,2] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[3,6,4,8,9,7,1,10,5,2] => ([(0,8),(0,9),(1,7),(1,9),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[3,7,4,5,10,8,9,6,2,1] => ([(0,8),(0,9),(1,5),(1,8),(1,9),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,6,4,7,8,9,10,5,2,1] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,6,4,9,7,8,5,2,1,10] => ([(1,8),(1,9),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,6,8,9,7,10,4,2,1] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,6,7,8,9,4,2,1,10] => ([(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,4,7,3,9,1,8,2,10] => ([(1,3),(1,9),(2,7),(2,8),(2,9),(3,7),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[1,6,7,5,8,4,10,2,9,3] => ([(1,3),(1,9),(2,7),(2,8),(2,9),(3,7),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[4,5,6,7,8,9,1,10,2,3] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,2,5,4,7,6,8,10,9,1] => ([(0,9),(1,8),(1,9),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,5,4,6,9,7,8,10,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,5,4,6,8,7,10,9,1] => ([(0,9),(1,8),(1,9),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,5,4,6,7,10,8,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,7,5,6,9,8,10,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,7,5,6,8,10,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,6,5,9,7,8,10,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,6,5,8,7,10,9,1] => ([(0,9),(1,8),(1,9),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,4,6,5,7,10,8,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,5,9,6,7,8,10,1] => ([(0,9),(1,9),(2,9),(3,4),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,5,8,6,7,10,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,5,7,6,10,8,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,5,6,10,7,8,9,1] => ([(0,9),(1,9),(2,9),(3,4),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,3,4,7,6,9,8,10,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,3,4,7,6,8,10,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,3,4,6,9,7,8,10,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,5,3,4,6,8,7,10,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,3,4,6,7,10,8,9,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,4,3,7,5,6,9,8,10,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,3,7,5,6,8,10,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,3,6,5,9,7,8,10,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,3,6,5,7,10,8,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,3,5,9,6,7,8,10,1] => ([(0,9),(1,9),(2,9),(3,4),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,3,5,8,6,7,10,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,3,5,7,6,10,8,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,4,3,5,6,10,7,8,9,1] => ([(0,9),(1,9),(2,9),(3,4),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,7,4,5,6,9,8,10,1] => ([(0,9),(1,9),(2,9),(3,4),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,7,4,5,6,8,10,9,1] => ([(0,9),(1,9),(2,9),(3,4),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,6,4,5,9,7,8,10,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,3,6,4,5,8,7,10,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,6,4,5,7,10,8,9,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,3,5,4,9,6,7,8,10,1] => ([(0,9),(1,9),(2,9),(3,4),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,5,4,8,6,7,10,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,5,4,7,6,10,8,9,1] => ([(0,9),(1,9),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,5,4,6,10,7,8,9,1] => ([(0,9),(1,9),(2,9),(3,4),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,9,5,6,7,8,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,8,5,6,7,10,9,1] => ([(0,9),(1,9),(2,9),(3,4),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,7,5,6,10,8,9,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[2,3,4,6,5,10,7,8,9,1] => ([(0,9),(1,9),(2,9),(3,4),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,3,10,1,2,4,5,6,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[10,3,1,9,2,4,5,6,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,4,10,2,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,8),(8,9)],10)
[9,8,10,7,6,5,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,1,2,3,4,8,9,5,6] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,2,3,4,5,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,6,3,4,5,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,6,4,5,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,2,3,4,5,6,7,1,8,9] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,2,3,4,5,6,1,7,8,9] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,2,3,4,5,1,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,2,3,4,1,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,8,1,3,4,5,6,10,7,9] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(5,6),(6,9),(7,8),(8,9)],10)
[10,7,1,2,3,4,5,9,6,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,6,8,2,9,3,10,7,1] => ([(0,6),(0,9),(1,6),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[10,4,5,6,9,3,8,2,7,1] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,10,6,9,3,8,2,7,1] => ([(0,6),(0,8),(0,9),(1,6),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,8,2,6,10,9,3,7,1] => ([(0,6),(0,8),(0,9),(1,6),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,5),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,9,5,4,3,8,2,7,1] => ([(0,1),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,2,6,10,9,5,4,3,7,1] => ([(0,8),(0,9),(1,3),(1,4),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,2,10,4,5,6,7,1,9,3] => ([(0,8),(0,9),(1,6),(1,7),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[4,5,6,8,2,10,7,1,9,3] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8)],10)
[10,4,5,6,8,2,7,1,9,3] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[4,5,10,6,8,2,7,1,9,3] => ([(0,8),(0,9),(1,6),(1,7),(1,9),(2,6),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(8,9)],10)
[4,5,10,8,2,6,7,1,9,3] => ([(0,8),(0,9),(1,5),(1,7),(1,9),(2,5),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[10,6,8,2,7,1,9,5,4,3] => ([(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,8),(1,9),(2,3),(2,4),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,2,6,7,1,9,5,4,3] => ([(0,2),(0,8),(0,9),(1,5),(1,6),(1,7),(1,9),(2,3),(2,4),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,2,7,1,9,3,10,4,5,6] => ([(0,3),(0,9),(1,5),(1,6),(1,7),(2,4),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,8,2,7,1,9,3,10,6] => ([(0,6),(1,6),(1,9),(2,5),(2,8),(2,9),(3,5),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(7,8),(7,9)],10)
[4,5,9,3,10,7,1,8,2,6] => ([(0,6),(0,8),(0,9),(1,6),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(3,5),(3,7),(3,9),(4,5),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,5,7,1,9,3,8,2,6,10] => ([(1,3),(1,8),(1,9),(2,3),(2,8),(2,9),(3,7),(4,5),(4,6),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,2,7,1,9,5,4,3,10,6] => ([(0,4),(1,2),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,4,3,10,7,1,8,2,6] => ([(0,1),(0,5),(0,6),(0,9),(1,6),(1,8),(1,9),(2,3),(2,4),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[7,1,9,5,4,3,8,2,6,10] => ([(1,9),(2,3),(2,8),(2,9),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,2,6,10,4,5,7,1,9,3] => ([(0,7),(0,8),(1,6),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,8,2,6,10,5,7,1,9,3] => ([(0,6),(0,9),(1,2),(1,8),(1,9),(2,7),(2,8),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,10,8,2,5,6,7,1,9,3] => ([(0,8),(0,9),(1,5),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[8,2,6,10,5,7,1,9,4,3] => ([(0,6),(0,9),(1,5),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,2,5,6,7,1,9,4,3] => ([(0,6),(0,7),(0,9),(1,5),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,3,10,4,5,7,1,8,2,6] => ([(0,6),(0,8),(0,9),(1,4),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[4,9,3,10,5,7,1,8,2,6] => ([(0,4),(0,7),(0,9),(1,3),(1,6),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,8),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[4,9,3,10,7,1,8,2,5,6] => ([(0,3),(0,5),(0,8),(1,4),(1,6),(1,7),(1,9),(2,4),(2,6),(2,7),(2,9),(3,5),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[4,7,1,9,3,8,2,5,6,10] => ([(1,4),(1,9),(2,5),(2,7),(2,9),(3,5),(3,7),(3,9),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[9,4,3,10,5,7,1,8,2,6] => ([(0,1),(0,6),(0,8),(0,9),(1,6),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[9,4,3,10,7,1,8,2,5,6] => ([(0,1),(0,4),(0,6),(0,9),(1,4),(1,6),(1,9),(2,5),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,1,9,4,3,8,2,5,6,10] => ([(1,9),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9)],10)
[5,10,7,1,8,2,4,3,9,6] => ([(0,4),(0,9),(1,3),(1,8),(1,9),(2,3),(2,5),(2,8),(2,9),(3,6),(3,7),(4,5),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,7,1,8,2,4,3,9,6,10] => ([(1,4),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,5,7,1,9,4,2,6,8,3] => ([(0,4),(0,6),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,4,2,5,6,7,1,10,8,3] => ([(0,5),(0,8),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,5,7,1,8,3,9,4,2,6] => ([(0,5),(0,7),(0,9),(1,2),(1,4),(1,7),(1,9),(2,6),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,1,8,3,9,4,2,5,6] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,4),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,1,8,3,9,4,2,5,6,10] => ([(1,9),(2,7),(2,8),(2,9),(3,5),(3,7),(3,9),(4,5),(4,7),(4,9),(5,6),(5,8),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[4,2,5,10,7,1,8,3,9,6] => ([(0,6),(0,9),(1,7),(1,8),(2,4),(2,7),(3,6),(3,8),(3,9),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[4,2,5,7,1,8,3,9,6,10] => ([(1,7),(2,7),(2,8),(3,8),(3,9),(4,5),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[4,5,6,7,8,9,1,2,10,3] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[10,9,7,3,6,1,2,4,8,5] => ([(0,5),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,3,6,1,2,4,10,8,5] => ([(0,2),(0,6),(1,7),(1,8),(1,9),(2,6),(2,9),(3,4),(3,5),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,3,10,9,6,1,2,4,8,5] => ([(0,3),(0,8),(0,9),(1,4),(1,5),(1,6),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[7,3,9,6,1,2,4,10,8,5] => ([(0,3),(0,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(3,6),(3,8),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,6,1,2,4,10,7,3,8,5] => ([(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,4,10,9,7,3,6,1,2,5] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,9),(3,4),(3,5),(3,6),(3,7),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,4,9,7,3,6,1,2,5] => ([(0,3),(0,4),(0,5),(0,8),(0,9),(1,2),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,3,8,4,10,9,6,1,2,5] => ([(0,6),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,3),(2,4),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,3,10,8,4,9,6,1,2,5] => ([(0,5),(0,8),(0,9),(1,4),(1,5),(1,6),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,3,8,4,9,6,1,2,5] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[6,1,2,7,3,8,4,10,9,5] => ([(0,9),(1,9),(2,3),(2,8),(3,8),(4,7),(4,9),(5,6),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[6,1,2,7,3,10,8,4,9,5] => ([(0,8),(1,8),(2,7),(2,9),(3,5),(3,8),(4,6),(4,7),(4,9),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[6,1,2,10,7,3,8,4,9,5] => ([(0,7),(1,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[10,6,1,2,7,3,8,4,9,5] => ([(0,8),(0,9),(1,8),(1,9),(2,7),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[6,1,3,10,9,7,2,4,8,5] => ([(0,7),(1,6),(1,7),(2,5),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[6,1,3,9,7,2,4,10,8,5] => ([(0,9),(1,4),(1,8),(2,6),(2,9),(3,5),(3,7),(3,9),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[10,9,6,1,3,7,2,4,8,5] => ([(0,6),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,1,3,7,2,4,10,8,5] => ([(0,8),(0,9),(1,4),(1,7),(2,5),(2,8),(2,9),(3,6),(3,8),(3,9),(4,7),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,2,4,9,6,1,3,8,5] => ([(0,4),(0,6),(0,9),(1,7),(1,8),(1,9),(2,3),(2,7),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[6,1,3,8,4,10,9,7,2,5] => ([(0,8),(1,8),(1,9),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[6,1,3,10,8,4,9,7,2,5] => ([(0,7),(1,7),(1,9),(2,4),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[8,4,10,9,6,1,3,7,2,5] => ([(0,3),(0,4),(0,8),(0,9),(1,2),(1,5),(1,6),(1,7),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(8,9)],10)
[10,8,4,9,6,1,3,7,2,5] => ([(0,1),(0,5),(0,6),(0,8),(0,9),(1,5),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,1,3,8,4,10,7,2,5] => ([(0,7),(0,9),(1,5),(1,6),(1,8),(2,7),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,6,1,3,8,4,10,9,5] => ([(0,8),(0,9),(1,2),(1,7),(2,7),(3,6),(3,9),(4,5),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,6,1,3,10,8,4,9,5] => ([(0,7),(0,9),(1,5),(1,8),(2,3),(2,9),(3,7),(3,9),(4,5),(4,6),(4,8),(5,6),(5,8),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,2,6,1,3,8,4,9,5] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,4),(2,8),(2,9),(3,5),(3,6),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,10,6,1,3,8,4,9,5] => ([(0,6),(0,9),(1,4),(1,7),(2,7),(2,8),(2,9),(3,5),(3,6),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[8,3,6,1,4,10,9,7,2,5] => ([(0,1),(0,8),(0,9),(1,5),(1,8),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(3,9),(4,6),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[10,8,3,6,1,4,9,7,2,5] => ([(0,1),(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,6,1,4,8,3,7,2,5] => ([(0,7),(0,8),(0,9),(1,2),(1,4),(1,7),(1,8),(1,9),(2,4),(2,6),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,1,4,10,8,3,7,2,5] => ([(0,7),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,4),(3,5),(3,6),(3,8),(4,5),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,3,9,6,1,4,10,7,2,5] => ([(0,4),(0,5),(0,8),(1,2),(1,8),(1,9),(2,6),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[8,3,7,2,6,1,4,10,9,5] => ([(0,1),(0,7),(1,7),(2,5),(2,8),(2,9),(3,4),(3,6),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,3,7,2,6,1,4,9,5] => ([(0,4),(0,9),(1,5),(1,7),(1,8),(1,9),(2,3),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,3,10,7,2,6,1,4,9,5] => ([(0,4),(0,9),(1,3),(1,6),(1,8),(2,5),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,2,8,3,10,6,1,4,9,5] => ([(0,5),(0,6),(1,8),(1,9),(2,4),(2,8),(2,9),(3,4),(3,6),(3,7),(3,9),(4,5),(4,7),(4,8),(5,6),(5,7),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[9,4,10,8,3,7,2,6,1,5] => ([(0,3),(0,6),(0,8),(0,9),(1,2),(1,4),(1,5),(1,7),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,3,9,4,10,7,2,6,1,5] => ([(0,7),(0,8),(0,9),(1,5),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,8,3,9,4,10,6,1,5] => ([(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9),(5,6),(5,7),(5,8),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,4,1,2,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[1,2,3,4,8,5,9,6,10,7] => ([(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[1,2,3,4,5,8,6,10,9,7] => ([(5,8),(6,7),(6,9),(7,9),(8,9)],10)
[1,2,3,7,4,8,5,10,9,6] => ([(3,8),(4,5),(4,9),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[1,2,3,4,9,7,5,10,8,6] => ([(4,7),(4,9),(5,6),(5,8),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,7,5,10,9,8,6] => ([(4,5),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,6,2,7,3,8,4,10,9,5] => ([(1,8),(2,3),(2,9),(3,9),(4,7),(4,9),(5,6),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[1,2,6,3,9,7,4,10,8,5] => ([(2,7),(3,6),(3,9),(4,5),(4,7),(4,8),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[1,2,6,3,7,4,10,9,8,5] => ([(2,8),(3,4),(3,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[1,2,3,8,6,4,10,9,7,5] => ([(3,6),(3,8),(4,5),(4,7),(4,9),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,6,4,10,9,8,7,5] => ([(3,4),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,1,6,2,9,7,3,10,8,4] => ([(0,8),(1,4),(1,8),(2,5),(2,9),(3,6),(3,7),(3,9),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[5,1,6,2,7,3,10,9,8,4] => ([(0,8),(1,7),(1,9),(2,6),(2,8),(3,4),(3,5),(3,9),(4,5),(4,9),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[1,5,2,6,3,10,9,8,7,4] => ([(1,4),(2,3),(2,9),(3,4),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,7,5,3,10,9,8,6,4] => ([(2,3),(2,7),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,5,3,10,9,8,7,6,4] => ([(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,4,1,8,5,2,10,9,6,3] => ([(0,6),(0,8),(1,2),(1,7),(1,9),(2,7),(2,9),(3,4),(3,5),(3,6),(3,8),(4,5),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,9,7,5,2,10,8,6,3] => ([(0,2),(1,5),(1,7),(1,9),(2,3),(2,9),(3,4),(3,6),(3,8),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,7,5,2,10,9,8,6,3] => ([(0,3),(1,2),(1,3),(1,7),(2,7),(2,9),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,5,2,10,9,8,7,6,3] => ([(0,3),(1,2),(1,9),(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,8,6,4,2,10,9,7,5,3] => ([(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(2,9),(3,5),(3,7),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,6,4,2,10,9,8,7,5,3] => ([(1,2),(1,3),(2,3),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,2,10,9,8,7,6,5,3] => ([(1,2),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,5,3,1,10,9,8,6,4,2] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(1,9),(2,3),(2,4),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,3,1,10,9,8,7,6,4,2] => ([(0,1),(0,2),(1,2),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,2,5,6,7,8,10,9,3] => ([(1,9),(2,9),(3,9),(4,9),(5,6),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,4,5,6,7,10,8,3,9] => ([(0,1),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(7,9),(8,9)],10)
[3,1,5,2,6,10,7,8,9,4] => ([(0,7),(1,9),(2,3),(2,7),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[4,5,1,6,7,9,8,10,2,3] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,4),(3,5),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[7,2,8,3,9,4,10,5,1,6] => ([(0,8),(0,9),(1,5),(1,7),(1,9),(2,6),(2,8),(2,9),(3,4),(3,5),(3,7),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,8,3,9,4,10,1,5,6] => ([(0,8),(0,9),(1,5),(1,6),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[7,2,8,3,9,10,4,5,1,6] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(2,4),(2,7),(2,8),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,2,8,3,9,10,4,1,5,6] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,2,8,3,9,10,1,4,5,6] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,9),(3,4),(3,5),(3,6),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[7,2,8,9,3,4,10,5,1,6] => ([(0,8),(0,9),(1,4),(1,7),(1,9),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,8,9,3,4,10,1,5,6] => ([(0,8),(0,9),(1,4),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[7,2,8,9,3,10,4,5,1,6] => ([(0,8),(0,9),(1,4),(1,5),(1,8),(1,9),(2,3),(2,6),(2,7),(2,9),(3,4),(3,5),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,8,9,3,10,4,1,5,6] => ([(0,8),(0,9),(1,2),(1,3),(1,7),(1,9),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[7,2,8,9,3,10,1,4,5,6] => ([(0,8),(0,9),(1,3),(1,4),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[7,2,8,9,10,3,4,5,1,6] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[7,2,8,9,10,3,4,1,5,6] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[7,2,8,9,10,3,1,4,5,6] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(1,9),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[7,8,2,3,9,4,10,5,1,6] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(2,6),(2,9),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,8,2,3,9,4,10,1,5,6] => ([(0,5),(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[7,8,2,3,9,10,4,5,1,6] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(2,4),(2,7),(2,8),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,8,2,3,9,10,4,1,5,6] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,8,2,3,9,10,1,4,5,6] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,9),(3,4),(3,5),(3,6),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[7,8,2,9,3,4,10,5,1,6] => ([(0,4),(0,6),(0,9),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,8,2,9,3,4,10,1,5,6] => ([(0,4),(0,5),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[7,8,2,9,3,10,4,5,1,6] => ([(0,7),(0,8),(0,9),(1,3),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,2,9,3,10,4,1,5,6] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,6),(1,9),(2,5),(2,7),(2,8),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,8,2,9,3,10,1,4,5,6] => ([(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[7,8,2,9,10,3,4,5,1,6] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,2,9,10,3,4,1,5,6] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,2,9,10,3,1,4,5,6] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,8,2,9,10,1,3,4,5,6] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(6,7),(7,8),(7,9)],10)
[7,8,9,2,3,4,10,5,1,6] => ([(0,4),(0,5),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,9,2,3,4,10,1,5,6] => ([(0,4),(0,5),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[7,8,9,2,3,10,4,5,1,6] => ([(0,3),(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,9,2,3,10,4,1,5,6] => ([(0,4),(0,6),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,9,2,3,10,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,9,2,10,3,4,5,1,6] => ([(0,5),(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,9,2,10,3,4,1,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,9,2,10,3,1,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,5),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,9,2,10,1,3,4,5,6] => ([(0,5),(0,7),(0,8),(0,9),(1,5),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(6,7),(6,8),(6,9)],10)
[7,8,9,10,2,3,4,1,5,6] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[7,8,9,10,2,3,1,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[7,8,9,10,2,1,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[5,9,8,7,6,4,3,2,1,10] => ([(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,6,1,7,5,4,3,2] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,9,3,4,5,6,7,10,8] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,2,3,4,5,9,6,7,10,8] => ([(5,9),(6,9),(7,8),(8,9)],10)
[1,10,6,2,3,4,9,5,7,8] => ([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[1,5,2,9,3,10,4,6,7,8] => ([(1,7),(2,7),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,2,4,3,10,9,5,6,7,8] => ([(2,3),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,3,2,4,5,10,9,6,7,8] => ([(3,4),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,3,4,5,9,6,10,7,8] => ([(3,9),(4,5),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,8,1,2,3,4,5,6,9] => ([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[6,7,10,1,2,3,4,5,8,9] => ([(0,9),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,10,2,3,4,7,5,6,8,9] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,6,7,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,7,6,8,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,7,6,9,5,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,4,3,2,5,1,10] => ([(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,7,6,4,3,5,2,1,10] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,8,6,5,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,1,4,5,6,7,9,2,10,8] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(5,6),(6,9),(7,8),(8,9)],10)
[2,4,3,1,5,6,7,8,9,10] => ([(6,9),(7,8),(7,9),(8,9)],10)
[2,3,6,4,5,1,7,8,9,10] => ([(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,5,2,1,6,7,8,9,10] => ([(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,8,5,6,7,1,9,10] => ([(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,4,7,2,6,1,8,9,10] => ([(3,7),(3,9),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,6,4,1,5,3,7,8,9,10] => ([(4,8),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,5,2,6,3,1,7,8,9,10] => ([(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,6,4,5,9,2,7,8,1,10] => ([(1,8),(1,9),(2,6),(2,9),(3,6),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,4,7,8,6,3,1,9,10] => ([(2,9),(3,4),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,6,2,5,8,3,7,1,9,10] => ([(2,6),(2,9),(3,4),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,7,6,1,4,2,8,9,10] => ([(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[5,6,2,3,7,4,1,8,9,10] => ([(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,4,8,6,10,7,3,9,1] => ([(0,9),(1,7),(1,9),(2,3),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,7,2,5,6,10,3,8,9,1] => ([(0,6),(0,9),(1,6),(1,9),(2,3),(2,8),(2,9),(3,7),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,9,5,6,1,7,8,4,10] => ([(1,7),(2,7),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[5,7,2,3,6,9,4,8,1,10] => ([(1,5),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,9),(4,6),(4,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,8,4,1,6,3,7,5,9,10] => ([(2,8),(3,7),(3,9),(4,5),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[4,6,7,8,3,1,5,2,9,10] => ([(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[6,7,2,3,4,8,5,1,9,10] => ([(2,6),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,6,4,10,8,7,1,5,9,2] => ([(0,8),(0,9),(1,7),(1,9),(2,3),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[2,7,4,9,6,3,10,8,5,1] => ([(0,9),(1,6),(1,7),(1,9),(2,3),(2,8),(2,9),(3,5),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[4,6,8,7,3,9,10,5,2,1] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,8,2,3,4,7,10,5,9,1] => ([(0,5),(0,9),(1,6),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[3,5,9,7,1,8,2,6,4,10] => ([(1,5),(1,8),(2,5),(2,7),(2,8),(3,4),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[5,7,8,3,9,4,1,6,2,10] => ([(1,3),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[7,8,2,3,4,5,9,6,1,10] => ([(1,6),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[4,6,8,10,9,1,5,2,7,3] => ([(0,4),(0,8),(0,9),(1,4),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[6,8,9,3,4,10,5,1,7,2] => ([(0,1),(0,7),(0,8),(0,9),(1,5),(1,6),(1,9),(2,3),(2,4),(2,7),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,2,3,4,5,6,10,7,1] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,1,2,9,6,3,4,5,7,8] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,1,2,10,3,5,9,6,7,8] => ([(0,9),(1,7),(2,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(8,9)],10)
[1,10,9,8,5,6,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,9,5,6,7,8,4,3,2] => ([(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,10,4,5,6,7,8,9,3,2] => ([(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,3,1,2,6,7,8,9,10,4] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(7,8),(8,9)],10)
[7,3,4,5,1,2,8,9,10,6] => ([(0,6),(1,6),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[8,3,4,5,6,1,2,9,10,7] => ([(0,6),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[2,6,7,8,9,10,1,3,4,5] => ([(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[10,8,9,7,6,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,4,9,7,5,3,2,1] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,4,2,1,9,7,5,3] => ([(0,3),(0,5),(0,7),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,9,6,5,4,3,2,1,7] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[9,7,10,8,5,4,3,2,1,6] => ([(0,1),(0,2),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,4,3,2,1,5,10,8,6] => ([(0,8),(0,9),(1,2),(1,3),(2,3),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,10,8,6,3,2,1,4] => ([(0,2),(0,4),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,5),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,4,9,7,5,2,1,3] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,4,1,2,9,7,5,3] => ([(0,4),(0,6),(0,8),(0,9),(1,4),(1,6),(1,8),(1,9),(2,3),(2,5),(2,7),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,5,1,6,3,7,4,8,9,10] => ([(3,9),(4,7),(5,6),(5,9),(6,8),(7,8),(8,9)],10)
[3,4,5,1,6,2,7,8,9,10] => ([(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[2,6,1,7,3,8,4,9,5,10] => ([(1,9),(2,5),(3,7),(3,9),(4,6),(4,8),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[3,4,6,1,7,2,8,5,9,10] => ([(2,8),(3,8),(3,9),(4,6),(4,9),(5,6),(5,9),(6,7),(7,8),(7,9)],10)
[3,2,6,1,7,4,8,5,9,10] => ([(2,9),(3,6),(3,9),(4,5),(4,7),(5,7),(6,8),(7,8),(8,9)],10)
[4,2,5,6,1,7,3,8,9,10] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9)],10)
[3,4,2,6,1,7,5,8,9,10] => ([(3,7),(4,7),(4,9),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[3,2,7,1,8,4,9,5,10,6] => ([(0,9),(1,2),(1,5),(2,5),(3,7),(3,9),(4,6),(4,8),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[4,5,6,7,1,8,2,9,3,10] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[3,4,2,7,1,8,5,9,6,10] => ([(1,8),(2,3),(2,8),(3,7),(4,6),(4,9),(5,6),(5,9),(6,9),(7,8),(7,9)],10)
[5,3,6,4,7,1,8,2,9,10] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,5,2,6,7,1,8,4,9,10] => ([(2,8),(3,8),(3,9),(4,8),(4,9),(5,6),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[4,3,5,2,7,1,8,6,9,10] => ([(2,5),(3,5),(3,9),(4,8),(4,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,2,6,7,8,1,9,3,10,4] => ([(0,9),(1,7),(1,9),(2,6),(2,8),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[5,3,6,4,8,1,9,2,10,7] => ([(0,5),(1,5),(1,9),(2,5),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,5,2,6,8,1,9,4,10,7] => ([(0,7),(1,6),(1,9),(2,7),(2,8),(3,8),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9)],10)
[4,3,5,2,8,1,9,6,10,7] => ([(0,7),(1,8),(1,9),(2,3),(2,6),(3,7),(4,5),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(8,9)],10)
[4,6,2,7,5,8,1,9,3,10] => ([(1,9),(2,8),(2,9),(3,4),(3,8),(3,9),(4,6),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,3,6,2,7,8,1,9,5,10] => ([(1,8),(2,8),(2,9),(3,8),(3,9),(4,5),(4,7),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[4,5,3,6,2,8,1,9,7,10] => ([(1,4),(2,4),(2,9),(3,8),(3,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,3,7,2,8,6,9,1,10,4] => ([(0,8),(1,8),(1,9),(2,5),(2,6),(2,9),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[4,5,3,7,2,8,9,1,10,6] => ([(0,7),(1,7),(1,9),(2,7),(2,9),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(8,9)],10)
[5,4,6,3,7,2,9,1,10,8] => ([(0,3),(1,3),(1,9),(2,8),(2,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,1,6,7,8,9,10,2,3,4] => ([(0,6),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[5,6,7,8,9,10,1,3,4,2] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(7,9),(8,9)],10)
[5,6,7,8,9,10,1,4,3,2] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,1,4,5,6,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,9,10,1,4,5,6,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,1,5,6,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,1,4,5,6,7,2,3] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,1,4,5,6,7,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,1,5,6,7,2,3,4] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,1,5,6,7,4,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,1,6,7,4,5,2,3] => ([(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,1,6,7,4,5,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,1,6,7,5,4,3,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,1,6,7,8,3,4,5,2] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,1,6,7,8,4,5,2,3] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,1,6,7,8,4,5,3,2] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,1,6,7,8,5,4,3,2] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,1,7,8,5,6,3,4,2] => ([(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,1,7,8,5,6,4,3,2] => ([(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,1,7,8,6,5,4,3,2] => ([(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,1,8,9,6,7,4,5,3,2] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,8,9,6,7,5,4,3,2] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,1,8,9,7,6,5,4,3,2] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,10,9,8,7,5,4,3,1,2] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,7,1,9,10,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8)],10)
[2,3,4,5,1,7,8,9,10,6] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8)],10)
[2,3,1,5,6,7,8,9,10,4] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8)],10)
[4,2,5,3,7,6,9,8,1,10] => ([(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[4,2,6,3,7,5,9,8,1,10] => ([(1,2),(1,9),(2,9),(3,6),(3,9),(4,5),(4,9),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,2,6,3,8,5,9,7,1,10] => ([(1,8),(1,9),(2,7),(2,9),(3,4),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[4,2,6,3,8,5,10,7,1,9] => ([(0,8),(1,7),(1,9),(2,3),(2,4),(2,9),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[4,2,6,3,8,5,10,7,9,1] => ([(0,8),(0,9),(1,7),(1,9),(2,3),(2,4),(2,9),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[4,2,6,3,8,5,7,10,9,1] => ([(0,8),(0,9),(1,7),(1,9),(2,3),(2,9),(3,9),(4,5),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[4,2,6,3,5,8,7,10,9,1] => ([(0,3),(0,9),(1,2),(1,9),(2,9),(3,9),(4,7),(4,9),(5,6),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,2,3,6,5,8,7,10,9,1] => ([(0,5),(0,9),(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,5,6,7,10,2,1,9,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,7),(6,7),(7,8),(7,9),(8,9)],10)
[3,4,5,6,9,2,10,1,8,7] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(4,9),(5,6),(5,7),(6,7),(7,8),(7,9),(8,9)],10)
[3,4,5,8,2,9,10,1,6,7] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(6,7),(7,8),(7,9),(8,9)],10)
[3,4,7,2,8,9,10,1,6,5] => ([(0,6),(0,9),(1,6),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8)],10)
[3,6,2,7,8,9,10,1,5,4] => ([(0,5),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,8)],10)
[5,2,6,7,8,9,10,1,3,4] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[9,10,8,7,6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,7,6,5,4,3,2,9,1] => ([(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,9,4,5,6,7,8,1,10,3] => ([(0,9),(1,8),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[4,3,10,5,6,7,8,9,2,1] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,9,5,6,7,8,1,10,4] => ([(0,8),(1,2),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,9,4,5,6,7,1,3,10,2] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,4,1,10,6,7,8,9,2,5] => ([(0,2),(0,9),(1,2),(1,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[4,9,10,5,6,7,8,2,1,3] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10)
[9,1,2,3,6,4,5,7,8,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,6,7,8,9,10,3,2,1,4] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,3,4,5,1,2,6] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,8,9,10,3,4,5,2,1,6] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,4,5,2,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[7,8,9,10,4,5,3,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,5,4,3,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,3,4,5,6,1,2,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,3,4,5,6,2,1,7] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,4,5,6,1,2,3,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,4,5,6,3,2,1,7] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,5,6,3,4,1,2,7] => ([(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[8,9,10,5,6,3,4,2,1,7] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,5,6,4,3,2,1,7] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,9,10,6,5,4,3,2,1,7] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,5,6,7,2,3,4,1,8] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,5,6,7,3,4,1,2,8] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,5,6,7,3,4,2,1,8] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,5,6,7,4,3,2,1,8] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,6,7,4,5,3,2,1,8] => ([(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,6,7,5,4,3,2,1,8] => ([(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[9,10,7,6,5,4,3,2,1,8] => ([(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[10,7,8,5,6,3,4,2,1,9] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,8,5,6,4,3,2,1,9] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,7,8,6,5,4,3,2,1,9] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,1,2,3,7,8,4,5,6] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,1,2,8,7,3,4,5,6] => ([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,8,1,10,7,2,3,4,5,6] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10)
[8,6,1,2,3,4,5,9,10,7] => ([(0,7),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[5,7,1,2,3,4,8,9,10,6] => ([(0,8),(1,8),(2,8),(3,7),(3,9),(4,7),(4,9),(5,7),(5,9),(6,7),(6,9),(8,9)],10)
[10,4,1,2,3,7,8,9,5,6] => ([(0,6),(0,9),(1,6),(1,9),(2,6),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[10,3,1,2,9,7,8,4,5,6] => ([(0,2),(0,9),(1,2),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,9,1,10,8,7,3,4,5,6] => ([(0,1),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[10,7,1,8,2,9,3,4,5,6] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[9,7,1,10,8,2,3,4,5,6] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,9),(8,9)],10)
[10,9,7,1,8,2,3,4,5,6] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,6,1,7,2,8,3,9,4,5] => ([(0,8),(0,9),(1,6),(1,7),(1,9),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,6,1,10,7,2,8,3,4,5] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,9),(8,9)],10)
[10,9,6,1,7,2,8,3,4,5] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,1,9,7,2,3,4,5] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,6,1,7,2,3,4,5] => ([(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,5,1,10,6,2,7,3,8,4] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[10,9,5,1,6,2,7,3,8,4] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[8,5,1,9,6,2,10,7,3,4] => ([(0,6),(0,9),(1,5),(1,7),(1,8),(2,3),(2,4),(2,6),(2,9),(3,4),(3,5),(3,7),(3,8),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[10,8,5,1,9,6,2,7,3,4] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,5,1,6,2,7,3,4] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,5,1,10,8,6,2,3,4] => ([(0,6),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,7,5,1,8,6,2,3,4] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,5,1,6,2,3,4] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,7,4,1,10,8,5,2,6,3] => ([(0,3),(0,8),(0,9),(1,2),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,7,4,1,8,5,2,6,3] => ([(0,5),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,4,1,5,2,6,3] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,8,6,4,1,9,7,5,2,3] => ([(0,3),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,6,4,1,7,5,2,3] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,7,5,3,1,8,6,4,2] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,10,6,7,8,9,1,5] => ([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,10,5,6,7,8,9,1,4] => ([(0,9),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[2,3,4,5,6,10,1,9,7,8] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(7,8),(8,9)],10)
[2,3,4,5,10,1,8,9,6,7] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,10,1,6,7,8,9,4,5] => ([(0,6),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[1,4,2,6,5,8,7,10,9,3] => ([(1,8),(2,7),(2,9),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,5,2,6,4,8,7,10,9,3] => ([(1,8),(2,5),(2,9),(3,4),(3,9),(4,9),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[1,5,2,7,4,8,6,10,9,3] => ([(1,8),(2,6),(2,9),(3,4),(3,9),(4,9),(5,6),(5,7),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,5,2,7,4,9,6,10,8,3] => ([(1,8),(2,7),(2,9),(3,4),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[1,5,2,7,4,9,6,8,10,3] => ([(1,8),(2,9),(3,7),(3,9),(4,5),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[1,5,2,7,4,6,9,8,10,3] => ([(1,8),(2,9),(3,4),(3,9),(4,9),(5,6),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10)
[1,5,2,4,7,6,9,8,10,3] => ([(1,9),(2,8),(3,6),(3,9),(4,5),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,5,4,7,6,9,8,10,3] => ([(2,9),(3,8),(3,9),(4,7),(4,9),(5,6),(5,9),(6,9),(7,9),(8,9)],10)
[3,4,5,6,7,9,10,8,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,5,6,8,9,10,7,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,6,7,8,9,10,5,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,5,6,7,8,9,10,4,1,2] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[3,4,5,6,7,10,1,8,9,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[3,4,5,6,9,1,10,8,7,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,9)],10)
[3,4,5,8,1,9,10,7,6,2] => ([(0,5),(0,9),(1,5),(1,9),(2,5),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,7,1,8,9,10,5,6,2] => ([(0,5),(0,9),(1,5),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[3,6,1,7,8,9,10,5,4,2] => ([(0,1),(0,9),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,1,6,7,8,9,10,4,3,2] => ([(0,6),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,10,5,1,2,3,4,7,8,9] => ([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10)
[10,5,4,1,2,3,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,3,4,5,6,8,7,2,1] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,4,3,5,6,7,8,2,1] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,3,4,5,6,7,9,8,2,1] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,4,3,5,6,7,8,9,2,1] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,7,5,6,8,4,9,3,10,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,8,6,9,7,10] => ([(6,9),(7,8),(8,9)],10)
[1,2,3,4,5,9,6,10,7,8] => ([(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[10,8,7,6,5,4,3,9,2,1] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,7,6,5,4,8,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,7,8,9,11,10] => ([(9,10)],11)
[2,1,3,4,5,6,7,8,9,10,11] => ([(9,10)],11)
[11,1,2,3,4,5,6,7,8,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[10,1,2,3,4,5,6,7,8,11,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[11,1,2,3,4,5,6,7,10,8,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,1,2,3,4,5,6,10,7,8,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,1,2,3,4,5,11,6,7,8,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[11,1,2,3,4,10,5,6,7,8,9] => ([(0,10),(1,10),(2,10),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,1,2,3,10,4,5,6,7,8,9] => ([(0,10),(1,10),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,1,2,11,3,4,5,6,7,8,9] => ([(0,10),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[11,1,10,2,3,4,5,6,7,8,9] => ([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,10,1,2,3,4,5,6,7,8,9] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,9,8,7,6,5,4,3,2,1,11] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[1,11,10,9,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,3,4,5,6,7,8,9,10,11,1] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[2,3,4,5,6,7,8,9,11,1,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[3,1,4,5,6,7,8,9,10,11,2] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[11,3,4,5,6,7,8,9,1,2,10] => ([(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(9,10)],11)
[11,1,4,5,6,7,8,9,10,2,3] => ([(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(9,10)],11)
[10,1,2,3,4,5,6,7,8,9,11] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[1,11,2,3,4,5,6,7,8,9,10] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[9,11,8,7,6,5,4,3,2,1,10] => ([(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,11,9,8,7,6,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,10,9,8,7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,3,4,5,6,7,8,9,10,1,11] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[1,3,4,5,6,7,8,9,10,11,2] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[2,11,1,3,4,5,6,7,8,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[11,9,1,2,3,4,5,6,7,8,10] => ([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,9,8,7,6,5,4,3,2,1,10] => ([(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,9,8,7,6,5,4,3,2,11,1] => ([(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,8,10,7,6,5,4,3,2,1,11] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,8,7,10,6,5,4,3,2,1,11] => ([(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,8,7,6,11,5,4,3,2,1,10] => ([(0,1),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,8,7,6,5,10,4,3,2,1,11] => ([(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,8,7,6,5,4,10,3,2,1,11] => ([(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,8,7,6,5,4,3,11,2,1,10] => ([(0,1),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,8,7,6,5,4,3,2,10,1,11] => ([(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,8,7,6,5,4,3,2,1,10,11] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[3,4,5,6,7,8,9,10,11,2,1] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,1,11,9,8,7,6,5,4,3,2] => ([(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,11,10,9,8,7,6,5,4,1,3] => ([(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,2,1,9,8,7,6,5,4,3,11] => ([(1,2),(1,10),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[3,2,10,9,8,7,6,5,4,1,11] => ([(1,2),(1,10),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[6,7,8,9,10,1,2,3,4,5,11] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10)],11)
[1,7,8,9,10,11,2,3,4,5,6] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10)],11)
[2,4,1,5,6,7,8,9,10,11,3] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(9,10)],11)
[2,3,4,5,6,7,8,10,1,11,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(9,10)],11)
[2,3,5,1,6,7,8,9,10,11,4] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(8,10)],11)
[2,3,4,5,6,7,9,1,10,11,8] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(8,10)],11)
[2,3,4,6,1,7,8,9,10,11,5] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(8,10)],11)
[2,3,4,5,6,8,1,9,10,11,7] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(8,10)],11)
[2,3,4,5,7,1,8,9,10,11,6] => ([(0,10),(1,10),(2,10),(3,10),(4,9),(5,9),(6,9),(7,9),(8,9),(8,10)],11)
[1,2,3,4,6,8,5,7,10,9,11] => ([(5,10),(6,9),(7,8),(9,10)],11)
[1,2,3,4,7,5,8,6,10,9,11] => ([(5,10),(6,9),(7,8),(9,10)],11)
[11,10,9,8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,1,11,10,9,8,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[1,2,3,4,5,6,7,8,10,11,9] => ([(8,10),(9,10)],11)
[2,4,1,3,6,5,8,7,10,9,11] => ([(1,6),(2,5),(3,4),(7,10),(8,9),(9,10)],11)
[11,3,4,5,6,7,8,9,10,1,2] => ([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(9,10)],11)
[10,3,4,5,6,7,8,9,1,11,2] => ([(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[9,3,4,5,6,7,8,1,10,11,2] => ([(0,10),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[8,3,4,5,6,7,1,9,10,11,2] => ([(0,10),(1,10),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[7,3,4,5,6,1,8,9,10,11,2] => ([(0,10),(1,10),(2,10),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[6,3,4,5,1,7,8,9,10,11,2] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[5,3,4,1,6,7,8,9,10,11,2] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[4,3,1,5,6,7,8,9,10,11,2] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(7,9),(8,9),(8,10),(9,10)],11)
[2,11,4,5,6,7,8,9,10,1,3] => ([(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[10,9,4,5,6,7,8,1,2,11,3] => ([(0,8),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,11,10,5,6,7,8,9,1,3,4] => ([(0,8),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,2,3,4,5,6,7,8,9,10,1] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,9,1,2,3,4,5,6,7,11,8] => ([(0,8),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,11,10,1,3,4,5,6,7,8,9] => ([(0,8),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,4,1,6,3,5,8,7,10,9,11] => ([(1,4),(2,3),(5,8),(6,7),(7,9),(8,10),(9,10)],11)
[10,1,2,3,4,5,6,7,11,8,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[1,11,2,3,4,5,6,7,8,10,9] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(8,10),(9,10)],11)
[1,2,11,3,4,5,6,7,8,10,9] => ([(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(8,10),(9,10)],11)
[1,2,3,10,4,5,6,7,11,8,9] => ([(3,10),(4,10),(5,10),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[1,2,3,4,11,5,6,7,8,10,9] => ([(4,10),(5,10),(6,10),(7,10),(8,9),(8,10),(9,10)],11)
[1,2,3,4,5,11,6,7,8,10,9] => ([(5,10),(6,10),(7,10),(8,9),(8,10),(9,10)],11)
[1,2,3,4,5,6,10,7,11,8,9] => ([(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[1,2,3,4,5,6,7,11,8,10,9] => ([(7,10),(8,9),(8,10),(9,10)],11)
[1,2,3,4,5,6,7,8,11,10,9] => ([(8,9),(8,10),(9,10)],11)
[1,2,3,4,5,6,7,8,11,9,10] => ([(8,10),(9,10)],11)
[11,1,3,4,5,6,7,8,9,10,2] => ([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,2,3,4,5,6,7,8,11,1,9] => ([(0,1),(0,10),(1,9),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,11,3,4,5,6,7,8,9,1,2] => ([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[7,1,2,3,4,5,11,6,8,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(8,10)],11)
[11,1,2,3,4,5,8,6,7,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,1,2,3,4,5,9,6,7,8,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,10,5,1,2,3,4,6,7,8,9] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,10,1,5,2,3,4,6,7,8,9] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[5,11,1,2,10,3,4,6,7,8,9] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,8),(4,10),(5,8),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(9,10)],11)
[5,11,1,2,3,10,4,6,7,8,9] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,8),(4,10),(5,8),(5,10),(6,8),(6,10),(7,8),(7,9),(7,10),(9,10)],11)
[2,3,4,5,6,7,8,10,11,1,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[2,4,5,6,7,8,9,10,11,1,3] => ([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[3,4,5,6,7,8,9,10,11,1,2] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[10,11,1,9,2,3,4,5,6,7,8] => ([(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[1,2,3,4,5,6,7,8,9,10,11] => ([],11)
[10,1,11,2,3,4,5,6,7,8,9] => ([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[10,11,1,2,3,4,5,6,7,8,9] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[3,1,4,2,6,5,8,7,10,9,11] => ([(1,6),(2,5),(3,4),(7,10),(8,9),(9,10)],11)
[1,2,3,4,5,6,7,8,10,9,11] => ([(9,10)],11)
[11,2,3,4,5,6,7,8,9,1,10] => ([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[3,11,1,4,5,6,7,8,9,10,2] => ([(0,1),(0,10),(1,9),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,1,11,3,4,5,6,7,8,2,10] => ([(0,10),(1,9),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[2,3,4,5,6,7,8,9,11,10,1] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(8,10),(9,10)],11)
[3,1,11,5,6,7,8,9,10,2,4] => ([(0,1),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[2,3,1,4,5,6,7,8,9,10,11] => ([(8,10),(9,10)],11)
[3,1,2,4,5,6,7,8,9,10,11] => ([(8,10),(9,10)],11)
[3,4,5,6,7,8,9,10,1,2,11] => ([(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[3,4,5,6,7,9,10,11,1,2,8] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10)],11)
[3,4,6,7,8,9,10,11,1,2,5] => ([(0,9),(0,10),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10)],11)
[11,1,10,5,6,7,8,9,2,3,4] => ([(0,10),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,1,11,9,6,7,8,2,3,4,5] => ([(0,10),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[9,1,10,11,8,7,2,3,4,5,6] => ([(0,8),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[8,1,9,10,11,2,3,4,5,6,7] => ([(0,10),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10)],11)
[11,1,10,9,2,3,4,5,6,7,8] => ([(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,8,7,6,5,4,3,2,1,11,10] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,3,4,5,6,7,10,9,11,8,1] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,3,4,5,6,10,8,9,11,7,1] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,3,4,5,10,7,8,9,11,1,6] => ([(0,10),(1,10),(2,10),(3,10),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[2,3,4,10,6,7,8,9,11,5,1] => ([(0,10),(1,10),(2,10),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,3,10,5,6,7,8,9,11,4,1] => ([(0,10),(1,10),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,10,4,5,6,7,8,9,11,1,3] => ([(0,10),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[10,3,4,5,6,7,8,9,11,2,1] => ([(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[1,3,2,5,4,7,6,9,8,11,10] => ([(1,10),(2,9),(3,8),(4,7),(5,6)],11)
[10,9,11,8,7,6,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[3,4,5,6,7,8,9,10,1,11,2] => ([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[6,5,7,4,8,3,9,2,10,1,11] => ([(1,10),(2,9),(2,10),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[1,7,6,8,5,9,4,10,3,11,2] => ([(1,10),(2,9),(2,10),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,3,4,5,6,7,8,11,10,1,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(7,9),(8,9),(8,10),(9,10)],11)
[11,3,4,5,6,7,8,10,1,2,9] => ([(0,7),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(9,10)],11)
[3,2,4,5,6,7,8,9,10,11,1] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(8,10),(9,10)],11)
[3,4,5,6,7,8,1,9,2,11,10] => ([(0,10),(1,2),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[1,4,5,6,7,11,8,9,2,10,3] => ([(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,8),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[8,9,10,7,6,1,2,3,4,11,5] => ([(0,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,9,10,11,8,7,1,3,4,5,6] => ([(0,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[7,8,9,10,1,2,3,4,5,11,6] => ([(0,6),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10)],11)
[2,8,9,10,11,1,3,4,5,6,7] => ([(0,6),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10)],11)
[2,3,4,5,6,7,8,11,1,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[2,3,4,5,6,7,11,1,8,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(9,10)],11)
[2,3,4,5,6,11,1,7,8,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(9,10)],11)
[2,3,4,5,11,1,6,7,8,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(9,10)],11)
[2,3,4,11,1,5,6,7,8,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(9,10)],11)
[2,3,11,1,4,5,6,7,8,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[3,1,4,5,6,7,8,9,11,2,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[2,11,1,3,4,5,6,7,10,8,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,6),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,10,1,3,4,5,6,7,8,11,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[11,2,1,3,4,5,6,7,8,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(8,10),(9,10)],11)
[11,10,2,3,4,5,6,7,8,9,1] => ([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,3,4,5,6,7,8,9,10,2,1] => ([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[9,11,1,2,3,4,5,6,7,8,10] => ([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[11,10,9,8,6,7,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,1,2,3,4,5,6,10,8,7,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,1,2,3,4,5,10,7,8,6,9] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,1,2,3,4,11,6,7,8,5,9] => ([(0,10),(1,10),(2,10),(3,10),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[11,1,2,3,10,5,6,7,8,4,9] => ([(0,10),(1,10),(2,10),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,1,2,10,4,5,6,7,8,3,9] => ([(0,10),(1,10),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,1,11,3,4,5,6,7,8,2,9] => ([(0,10),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[11,10,2,3,4,5,6,7,8,1,9] => ([(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,10,2,1,4,5,6,7,8,9,3] => ([(0,1),(0,9),(0,10),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,11,8,1,2,3,4,5,6,7,9] => ([(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[6,7,5,4,3,2,1,8,9,10,11] => ([(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[7,6,5,4,3,1,2,8,9,10,11] => ([(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,10,9,8,5,7,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,10,9,8,6,5,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[8,9,1,2,3,4,5,6,10,11,7] => ([(0,8),(1,8),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[2,3,4,5,6,7,8,9,1,11,10] => ([(0,1),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[3,4,1,5,6,7,8,9,10,11,2] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[1,3,4,5,6,7,8,9,11,2,10] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[1,4,2,5,6,7,8,9,11,10,3] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,7),(7,10),(8,9),(8,10),(9,10)],11)
[1,2,10,3,4,5,6,7,8,11,9] => ([(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[1,2,3,4,5,10,6,7,8,11,9] => ([(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[11,9,10,8,7,6,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,8,11,9,7,6,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,8,6,5,4,3,2,1,11,9,7] => ([(0,1),(0,2),(1,2),(1,10),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,8,6,11,9,7,5,4,3,2,1] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,9,7,5,10,8,6,4,3,2,1] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,9,7,5,3,2,1,10,8,6,4] => ([(0,1),(0,5),(0,7),(0,10),(1,5),(1,7),(1,9),(1,10),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(3,4),(3,6),(3,8),(3,9),(3,10),(4,6),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,9,7,5,3,10,8,6,4,2,1] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[10,8,6,4,2,11,9,7,5,3,1] => ([(0,3),(0,5),(0,7),(0,9),(0,10),(1,2),(1,4),(1,6),(1,8),(1,10),(2,4),(2,6),(2,8),(2,9),(2,10),(3,5),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[5,6,7,8,9,11,1,2,3,4,10] => ([(0,6),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10)],11)
[6,1,7,8,9,10,11,2,3,4,5] => ([(0,6),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10)],11)
[3,4,5,6,7,8,9,11,1,10,2] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,8),(7,10),(8,9),(8,10)],11)
[3,4,5,6,7,8,10,11,1,9,2] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10)],11)
[3,4,5,6,8,9,10,11,1,7,2] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10)],11)
[3,4,5,7,8,9,10,11,1,6,2] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10)],11)
[3,5,6,7,8,9,10,11,1,4,2] => ([(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10)],11)
[4,5,6,7,8,9,10,11,1,3,2] => ([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(9,10)],11)
[10,2,3,4,5,6,7,8,9,11,1] => ([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,10,4,5,6,7,8,9,1,11,3] => ([(0,10),(1,9),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[4,3,11,5,6,7,8,9,10,2,1] => ([(0,1),(0,9),(0,10),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[8,11,1,2,3,4,5,9,10,6,7] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,7),(5,8),(5,10),(6,7),(6,8),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[10,11,1,2,3,4,8,9,5,6,7] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[10,11,1,2,3,9,8,4,5,6,7] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[10,9,1,2,11,8,3,4,5,6,7] => ([(0,9),(0,10),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(8,9),(8,10),(9,10)],11)
[9,8,1,10,11,2,3,4,5,6,7] => ([(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(9,10)],11)
[11,8,9,10,1,2,3,4,5,6,7] => ([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,10),(8,10),(9,10)],11)
[2,3,4,5,6,7,11,9,10,1,8] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[2,3,4,5,6,11,8,9,10,1,7] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[2,3,4,5,11,7,8,9,10,1,6] => ([(0,10),(1,10),(2,10),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[2,3,4,11,6,7,8,9,10,1,5] => ([(0,10),(1,10),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[2,3,11,5,6,7,8,9,10,1,4] => ([(0,10),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11)
[3,4,5,6,7,8,10,11,9,1,2] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[3,4,5,6,7,9,10,11,8,1,2] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[3,4,5,7,8,9,10,11,6,1,2] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[3,4,6,7,8,9,10,11,5,1,2] => ([(0,9),(0,10),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11)
[4,5,6,7,8,9,10,11,3,1,2] => ([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(9,10)],11)
[4,5,6,7,8,9,10,11,2,1,3] => ([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(9,10)],11)
[11,10,3,4,5,6,7,9,8,2,1] => ([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[11,10,4,3,5,6,7,8,9,2,1] => ([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[2,1,4,3,6,5,8,7,10,9,12,11] => ([(0,11),(1,10),(2,9),(3,8),(4,7),(5,6)],12)
[2,1,4,3,6,5,8,7,12,11,10,9] => ([(0,7),(1,6),(2,5),(3,4),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,10,9,8,7,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,12,9,8,11,10,7] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,12,11,10,9,8,7] => ([(0,5),(1,4),(2,3),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,7,6,5,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,7,6,5,12,11,10,9] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[2,1,4,3,10,7,6,9,8,5,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,7,6,9,8,11,10,5] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,7,6,11,10,9,8,5] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,10,9,8,7,6,5,12,11] => ([(0,5),(1,4),(2,3),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,9,8,7,6,11,10,5] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,11,8,7,10,9,6,5] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,11,10,9,8,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,4,3,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,4,3,8,7,12,11,10,9] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[2,1,6,5,4,3,10,9,8,7,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[2,1,6,5,4,3,12,9,8,11,10,7] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,4,3,12,11,10,9,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,5,4,7,6,3,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,5,4,7,6,3,12,11,10,9] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,5,4,7,6,9,8,3,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,5,4,7,6,9,8,11,10,3] => ([(0,1),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,5,4,7,6,11,10,9,8,3] => ([(0,1),(2,5),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,5,4,9,8,7,6,3,12,11] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,5,4,9,8,7,6,11,10,3] => ([(0,1),(2,5),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,5,4,11,8,7,10,9,6,3] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,5,4,11,10,9,8,7,6,3] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,7,6,5,4,3,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,7,6,5,4,3,12,11,10,9] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,7,6,5,4,9,8,3,12,11] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,7,6,5,4,9,8,11,10,3] => ([(0,1),(2,5),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,7,6,5,4,11,10,9,8,3] => ([(0,1),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,9,6,5,8,7,4,3,12,11] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,9,6,5,8,7,4,11,10,3] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,6,5,8,7,10,9,4,3] => ([(0,1),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,6,5,10,9,8,7,4,3] => ([(0,1),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,9,8,7,6,5,4,3,12,11] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,9,8,7,6,5,4,11,10,3] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,8,7,6,5,10,9,4,3] => ([(0,1),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,10,7,6,9,8,5,4,3] => ([(0,1),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,10,9,8,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,1,6,5,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,1,6,5,8,7,12,11,10,9] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[4,3,2,1,6,5,10,9,8,7,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[4,3,2,1,6,5,12,9,8,11,10,7] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,1,6,5,12,11,10,9,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,1,8,7,6,5,10,9,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[4,3,2,1,8,7,6,5,12,11,10,9] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[4,3,2,1,10,7,6,9,8,5,12,11] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,1,12,7,6,9,8,11,10,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,1,12,7,6,11,10,9,8,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,1,10,9,8,7,6,5,12,11] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,1,12,9,8,7,6,11,10,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,1,12,11,8,7,10,9,6,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,1,12,11,10,9,8,7,6,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,3,2,5,4,1,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,3,2,5,4,1,8,7,12,11,10,9] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,3,2,5,4,1,10,9,8,7,12,11] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,3,2,5,4,1,12,9,8,11,10,7] => ([(0,3),(0,9),(0,10),(1,2),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,7),(4,8),(4,11),(5,6),(5,8),(5,11),(6,8),(6,11),(7,8),(7,11),(8,11),(9,10)],12)
[6,3,2,5,4,1,12,11,10,9,8,7] => ([(0,3),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9),(10,11)],12)
[8,3,2,5,4,7,6,1,10,9,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,2,5,4,7,6,1,12,11,10,9] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,3,2,5,4,7,6,9,8,1,12,11] => ([(0,1),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,5,4,7,6,9,8,11,10,1] => ([(0,9),(0,10),(0,11),(1,8),(1,10),(1,11),(2,7),(2,10),(2,11),(3,6),(3,10),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,5,4,7,6,11,10,9,8,1] => ([(0,5),(0,10),(0,11),(1,4),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,3,2,5,4,9,8,7,6,1,12,11] => ([(0,1),(2,5),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,5,4,9,8,7,6,11,10,1] => ([(0,5),(0,10),(0,11),(1,4),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,5,4,11,8,7,10,9,6,1] => ([(0,3),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,5,4,11,10,9,8,7,6,1] => ([(0,3),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,2,7,6,5,4,1,10,9,12,11] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,2,7,6,5,4,1,12,11,10,9] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,3,2,7,6,5,4,9,8,1,12,11] => ([(0,1),(2,5),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,7,6,5,4,9,8,11,10,1] => ([(0,5),(0,10),(0,11),(1,4),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,7,6,5,4,11,10,9,8,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,3,2,9,6,5,8,7,4,1,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,9,6,5,8,7,4,11,10,1] => ([(0,3),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,11,6,5,8,7,10,9,4,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,11,6,5,10,9,8,7,4,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,3,2,9,8,7,6,5,4,1,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,9,8,7,6,5,4,11,10,1] => ([(0,3),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,11,8,7,6,5,10,9,4,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,11,10,7,6,9,8,5,4,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,2,11,10,9,8,7,6,5,4,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,4,3,2,1,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,4,3,2,1,8,7,12,11,10,9] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,4,3,2,1,10,9,8,7,12,11] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,4,3,2,1,12,9,8,11,10,7] => ([(0,3),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9),(10,11)],12)
[6,5,4,3,2,1,12,11,10,9,8,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,5,4,3,2,7,6,1,10,9,12,11] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,5,4,3,2,7,6,1,12,11,10,9] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,5,4,3,2,7,6,9,8,1,12,11] => ([(0,1),(2,5),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,4,3,2,7,6,9,8,11,10,1] => ([(0,5),(0,10),(0,11),(1,4),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,4,3,2,7,6,11,10,9,8,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,5,4,3,2,9,8,7,6,1,12,11] => ([(0,1),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,4,3,2,9,8,7,6,11,10,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,4,3,2,11,8,7,10,9,6,1] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,4,3,2,11,10,9,8,7,6,1] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,4,3,6,5,2,1,10,9,12,11] => ([(0,3),(1,2),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,4,3,6,5,2,1,12,11,10,9] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,4,3,6,5,2,9,8,1,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,4,3,6,5,2,9,8,11,10,1] => ([(0,3),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,4,3,6,5,2,11,10,9,8,1] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,4,3,6,5,8,7,2,1,12,11] => ([(0,1),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,4,3,6,5,8,7,2,11,10,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,4,3,6,5,8,7,10,9,2,1] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,4,3,6,5,10,9,8,7,2,1] => ([(0,3),(0,8),(0,9),(0,10),(0,11),(1,2),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,4,3,8,7,6,5,2,1,12,11] => ([(0,1),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,4,3,8,7,6,5,2,11,10,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,4,3,8,7,6,5,10,9,2,1] => ([(0,3),(0,8),(0,9),(0,10),(0,11),(1,2),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,4,3,10,7,6,9,8,5,2,1] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,4,3,10,9,8,7,6,5,2,1] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,5,4,3,2,1,10,9,12,11] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,5,4,3,2,1,12,11,10,9] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,6,5,4,3,2,9,8,1,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,6,5,4,3,2,9,8,11,10,1] => ([(0,3),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,6,5,4,3,2,11,10,9,8,1] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,6,5,4,3,8,7,2,1,12,11] => ([(0,1),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,6,5,4,3,8,7,2,11,10,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,6,5,4,3,8,7,10,9,2,1] => ([(0,3),(0,8),(0,9),(0,10),(0,11),(1,2),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,6,5,4,3,10,9,8,7,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,8,5,4,7,6,3,2,1,12,11] => ([(0,1),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,8,5,4,7,6,3,2,11,10,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,8,5,4,7,6,3,10,9,2,1] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,5,4,7,6,9,8,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,5,4,9,8,7,6,3,2,1] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,8,7,6,5,4,3,2,1,12,11] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,8,7,6,5,4,3,2,11,10,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,8,7,6,5,4,3,10,9,2,1] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,7,6,5,4,9,8,3,2,1] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,6,5,8,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,6,8,10,12,1,3,5,7,9,11] => ([(0,11),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,4,6,8,11,12,1,3,5,7,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,4,6,9,10,12,1,3,5,7,8,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,7),(4,8),(4,10),(5,6),(5,9),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[2,4,6,9,11,12,1,3,5,7,8,10] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,4,6,10,11,12,1,3,5,7,8,9] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,4,7,8,10,12,1,3,5,6,9,11] => ([(0,11),(1,10),(2,9),(2,10),(3,8),(3,11),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,4,7,8,11,12,1,3,5,6,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,4,7,9,10,12,1,3,5,6,8,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,5),(4,6),(4,9),(4,11),(5,7),(5,8),(5,10),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[2,4,7,9,11,12,1,3,5,6,8,10] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,4,7,10,11,12,1,3,5,6,8,9] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,7),(6,11),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,4,8,9,10,12,1,3,5,6,7,11] => ([(0,11),(1,10),(2,9),(2,11),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[2,4,8,9,11,12,1,3,5,6,7,10] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,6),(3,7),(3,9),(3,10),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,4,8,10,11,12,1,3,5,6,7,9] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,6),(3,8),(3,9),(3,10),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,7),(6,11),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,4,9,10,11,12,1,3,5,6,7,8] => ([(0,11),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[2,5,6,8,10,12,1,3,4,7,9,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,7),(4,8),(4,10),(5,6),(5,9),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[2,5,6,8,11,12,1,3,4,7,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,5,6,9,10,12,1,3,4,7,8,11] => ([(0,11),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,5,6,9,11,12,1,3,4,7,8,10] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,5,6,10,11,12,1,3,4,7,8,9] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,5,7,8,10,12,1,3,4,6,9,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,5),(4,6),(4,9),(4,11),(5,7),(5,8),(5,10),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[2,5,7,8,11,12,1,3,4,6,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,5,7,9,10,12,1,3,4,6,8,11] => ([(0,11),(1,10),(2,8),(2,9),(2,10),(3,6),(3,7),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,5,7,9,11,12,1,3,4,6,8,10] => ([(0,11),(1,9),(1,10),(2,7),(2,8),(2,11),(3,6),(3,9),(3,10),(4,5),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,5,7,10,11,12,1,3,4,6,8,9] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,6),(3,7),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,5,8,9,10,12,1,3,4,6,7,11] => ([(0,11),(1,10),(2,8),(2,9),(2,11),(3,5),(3,6),(3,7),(3,10),(4,5),(4,6),(4,7),(4,10),(5,8),(5,9),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(9,10),(10,11)],12)
[2,5,8,9,11,12,1,3,4,6,7,10] => ([(0,11),(1,9),(1,10),(2,7),(2,8),(2,11),(3,5),(3,6),(3,9),(3,10),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,5,8,10,11,12,1,3,4,6,7,9] => ([(0,11),(1,8),(1,9),(1,10),(2,6),(2,7),(2,11),(3,5),(3,8),(3,9),(3,10),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,5,9,10,11,12,1,3,4,6,7,8] => ([(0,11),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[2,6,7,8,10,12,1,3,4,5,9,11] => ([(0,11),(1,10),(2,9),(2,11),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[2,6,7,8,11,12,1,3,4,5,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,6),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,6,7,9,10,12,1,3,4,5,8,11] => ([(0,11),(1,10),(2,8),(2,9),(2,11),(3,5),(3,6),(3,7),(3,10),(4,5),(4,6),(4,7),(4,10),(5,8),(5,9),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(9,10),(10,11)],12)
[2,6,7,9,11,12,1,3,4,5,8,10] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,6,7,10,11,12,1,3,4,5,8,9] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,6,8,9,10,12,1,3,4,5,7,11] => ([(0,11),(1,10),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[2,6,8,9,11,12,1,3,4,5,7,10] => ([(0,11),(1,9),(1,10),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,6,8,10,11,12,1,3,4,5,7,9] => ([(0,11),(1,8),(1,9),(1,10),(2,5),(2,6),(2,7),(2,11),(3,4),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,6,9,10,11,12,1,3,4,5,7,8] => ([(0,11),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[2,7,8,9,10,12,1,3,4,5,6,11] => ([(0,11),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,7,8,9,11,12,1,3,4,5,6,10] => ([(0,11),(1,9),(1,10),(2,5),(2,6),(2,7),(2,8),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,7,8,10,11,12,1,3,4,5,6,9] => ([(0,11),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,7,9,10,11,12,1,3,4,5,6,8] => ([(0,11),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,11),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[2,8,9,10,11,12,1,3,4,5,6,7] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,4,6,8,10,12,1,2,5,7,9,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,4,6,8,11,12,1,2,5,7,9,10] => ([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,6,9,10,12,1,2,5,7,8,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,4,6,9,11,12,1,2,5,7,8,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,6,10,11,12,1,2,5,7,8,9] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,7,8,10,12,1,2,5,6,9,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,4,7,8,11,12,1,2,5,6,9,10] => ([(0,10),(0,11),(1,8),(1,9),(2,8),(2,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,7,9,10,12,1,2,5,6,8,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,4,7,9,11,12,1,2,5,6,8,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,7,10,11,12,1,2,5,6,8,9] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,8,9,10,12,1,2,5,6,7,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,6),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,4,8,9,11,12,1,2,5,6,7,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,8,10,11,12,1,2,5,6,7,9] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,9,10,11,12,1,2,5,6,7,8] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,5,6,8,10,12,1,2,4,7,9,11] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,5,6,8,11,12,1,2,4,7,9,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,5,6,9,10,12,1,2,4,7,8,11] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[3,5,6,9,11,12,1,2,4,7,8,10] => ([(0,10),(0,11),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,5,6,10,11,12,1,2,4,7,8,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,5,7,8,10,12,1,2,4,6,9,11] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,5,7,8,11,12,1,2,4,6,9,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,5,7,9,10,12,1,2,4,6,8,11] => ([(0,11),(1,9),(1,10),(2,7),(2,8),(2,11),(3,6),(3,9),(3,10),(4,5),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,5,7,9,11,12,1,2,4,6,8,10] => ([(0,10),(0,11),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,5,7,10,11,12,1,2,4,6,8,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,5,8,9,10,12,1,2,4,6,7,11] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[3,5,8,9,11,12,1,2,4,6,7,10] => ([(0,8),(0,9),(1,10),(1,11),(2,7),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,5,8,10,11,12,1,2,4,6,7,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,6),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,5,9,10,11,12,1,2,4,6,7,8] => ([(0,10),(0,11),(1,5),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,7,8,10,12,1,2,4,5,9,11] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,6),(3,7),(3,9),(3,10),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,6,7,8,11,12,1,2,4,5,9,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,7,9,10,12,1,2,4,5,8,11] => ([(0,11),(1,9),(1,10),(2,7),(2,8),(2,11),(3,5),(3,6),(3,9),(3,10),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,6,7,9,11,12,1,2,4,5,8,10] => ([(0,8),(0,9),(1,10),(1,11),(2,7),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,7,10,11,12,1,2,4,5,8,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,8,9,10,12,1,2,4,5,7,11] => ([(0,11),(1,9),(1,10),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,6,8,9,11,12,1,2,4,5,7,10] => ([(0,10),(0,11),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,8,10,11,12,1,2,4,5,7,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,9,10,11,12,1,2,4,5,7,8] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,7,8,9,10,12,1,2,4,5,6,11] => ([(0,11),(1,9),(1,10),(2,5),(2,6),(2,7),(2,8),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,7,8,9,11,12,1,2,4,5,6,10] => ([(0,10),(0,11),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,7,8,10,11,12,1,2,4,5,6,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,7,9,10,11,12,1,2,4,5,6,8] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,8,9,10,11,12,1,2,4,5,6,7] => ([(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,5,6,8,10,12,1,2,3,7,9,11] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,5,6,8,11,12,1,2,3,7,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,5,6,9,10,12,1,2,3,7,8,11] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,5,6,9,11,12,1,2,3,7,8,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,5,6,10,11,12,1,2,3,7,8,9] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,5,7,8,10,12,1,2,3,6,9,11] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,7),(6,11),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,5,7,8,11,12,1,2,3,6,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,5,7,9,10,12,1,2,3,6,8,11] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,6),(3,7),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,5,7,9,11,12,1,2,3,6,8,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,5,7,10,11,12,1,2,3,6,8,9] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,5,8,9,10,12,1,2,3,6,7,11] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,5,8,9,11,12,1,2,3,6,7,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,5,8,10,11,12,1,2,3,6,7,9] => ([(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,5,9,10,11,12,1,2,3,6,7,8] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,6,7,8,10,12,1,2,3,5,9,11] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,6),(3,8),(3,9),(3,10),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,7),(6,11),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,6,7,8,11,12,1,2,3,5,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,7,9,10,12,1,2,3,5,8,11] => ([(0,11),(1,8),(1,9),(1,10),(2,6),(2,7),(2,11),(3,5),(3,8),(3,9),(3,10),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,6,7,9,11,12,1,2,3,5,8,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,6),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,7,10,11,12,1,2,3,5,8,9] => ([(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,6,8,9,10,12,1,2,3,5,7,11] => ([(0,11),(1,8),(1,9),(1,10),(2,5),(2,6),(2,7),(2,11),(3,4),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,6,8,9,11,12,1,2,3,5,7,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,8,10,11,12,1,2,3,5,7,9] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,6,9,10,11,12,1,2,3,5,7,8] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,7,8,9,10,12,1,2,3,5,6,11] => ([(0,11),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,7,8,9,11,12,1,2,3,5,6,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,7,8,10,11,12,1,2,3,5,6,9] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,7,9,10,11,12,1,2,3,5,6,8] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,8,9,10,11,12,1,2,3,5,6,7] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[5,6,7,8,10,12,1,2,3,4,9,11] => ([(0,11),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[5,6,7,8,11,12,1,2,3,4,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,7,9,10,12,1,2,3,4,8,11] => ([(0,11),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[5,6,7,9,11,12,1,2,3,4,8,10] => ([(0,10),(0,11),(1,5),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,7,10,11,12,1,2,3,4,8,9] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[5,6,8,9,10,12,1,2,3,4,7,11] => ([(0,11),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[5,6,8,9,11,12,1,2,3,4,7,10] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,8,10,11,12,1,2,3,4,7,9] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[5,6,9,10,11,12,1,2,3,4,7,8] => ([(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[5,7,8,9,10,12,1,2,3,4,6,11] => ([(0,11),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,11),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[5,7,8,9,11,12,1,2,3,4,6,10] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,7,8,10,11,12,1,2,3,4,6,9] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[5,7,9,10,11,12,1,2,3,4,6,8] => ([(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[5,8,9,10,11,12,1,2,3,4,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[6,7,8,9,10,12,1,2,3,4,5,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[6,7,8,9,11,12,1,2,3,4,5,10] => ([(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[6,7,8,10,11,12,1,2,3,4,5,9] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[6,7,9,10,11,12,1,2,3,4,5,8] => ([(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[6,8,9,10,11,12,1,2,3,4,5,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[7,8,9,10,11,12,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[2,3,4,5,6,7,8,9,10,12,1,11] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12)
[3,1,4,5,6,7,8,9,10,11,12,2] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12)
[2,1,4,3,6,5,8,7,11,12,10,9] => ([(0,7),(1,6),(2,5),(3,4),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,9,10,8,7,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,9,11,8,12,10,7] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,5,10,11,12,9,8,7] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,7,8,6,5,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,7,8,6,5,11,12,10,9] => ([(0,3),(1,2),(4,10),(4,11),(5,8),(5,9),(6,8),(6,9),(7,10),(7,11),(8,9),(10,11)],12)
[2,1,4,3,7,9,6,10,8,5,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,4,3,7,9,6,11,8,12,10,5] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,11),(6,7),(6,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,4,3,7,10,6,11,12,9,8,5] => ([(0,3),(1,2),(4,7),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,9,10,7,6,5,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,9,11,7,6,12,10,5] => ([(0,3),(1,2),(4,7),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,10,11,7,12,9,6,5] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,9,10,11,12,8,7,6,5] => ([(0,3),(1,2),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,6,4,3,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,6,4,3,8,7,11,12,10,9] => ([(0,3),(1,2),(4,10),(4,11),(5,8),(5,9),(6,8),(6,9),(7,10),(7,11),(8,9),(10,11)],12)
[2,1,5,6,4,3,9,10,8,7,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,8),(5,9),(6,8),(6,9),(7,10),(7,11),(8,9),(10,11)],12)
[2,1,5,6,4,3,9,11,8,12,10,7] => ([(0,1),(2,9),(2,10),(3,9),(3,10),(4,8),(4,11),(5,7),(5,11),(6,7),(6,8),(6,11),(7,11),(8,11),(9,10)],12)
[2,1,5,6,4,3,10,11,12,9,8,7] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(9,10),(9,11),(10,11)],12)
[2,1,5,7,4,8,6,3,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,5,7,4,8,6,3,11,12,10,9] => ([(0,1),(2,9),(2,10),(3,9),(3,10),(4,8),(4,11),(5,7),(5,11),(6,7),(6,8),(6,11),(7,11),(8,11),(9,10)],12)
[2,1,5,7,4,9,6,10,8,3,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,11),(6,7),(6,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,5,7,4,9,6,11,8,12,10,3] => ([(0,1),(2,10),(2,11),(3,9),(3,11),(4,5),(4,6),(4,11),(5,7),(5,11),(6,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,5,7,4,10,6,11,12,9,8,3] => ([(0,1),(2,7),(2,11),(3,6),(3,7),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,8,4,9,10,7,6,3,12,11] => ([(0,3),(1,2),(4,7),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,8,4,9,11,7,6,12,10,3] => ([(0,1),(2,6),(2,11),(3,5),(3,11),(4,9),(4,10),(4,11),(5,7),(5,11),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,8,4,10,11,7,12,9,6,3] => ([(0,1),(2,4),(2,11),(3,9),(3,10),(3,11),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,9,4,10,11,12,8,7,6,3] => ([(0,1),(2,3),(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,7,8,5,4,3,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,7,8,5,4,3,11,12,10,9] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(9,10),(9,11),(10,11)],12)
[2,1,6,7,9,5,4,10,8,3,12,11] => ([(0,3),(1,2),(4,7),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,7,9,5,4,11,8,12,10,3] => ([(0,1),(2,7),(2,11),(3,6),(3,7),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,7,10,5,4,11,12,9,8,3] => ([(0,1),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,8,9,5,10,7,4,3,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,8,9,5,11,7,4,12,10,3] => ([(0,1),(2,4),(2,11),(3,9),(3,10),(3,11),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,8,10,5,11,7,12,9,4,3] => ([(0,1),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,9,10,5,11,12,8,7,4,3] => ([(0,1),(2,7),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,7,8,9,10,6,5,4,3,12,11] => ([(0,3),(1,2),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,7,8,9,11,6,5,4,12,10,3] => ([(0,1),(2,3),(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,7,8,10,11,6,5,12,9,4,3] => ([(0,1),(2,7),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,7,9,10,11,6,12,8,5,4,3] => ([(0,1),(2,8),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,9,10,11,12,7,6,5,4,3] => ([(0,1),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,4,2,1,6,5,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,4,2,1,6,5,8,7,11,12,10,9] => ([(0,3),(1,2),(4,10),(4,11),(5,8),(5,9),(6,8),(6,9),(7,10),(7,11),(8,9),(10,11)],12)
[3,4,2,1,6,5,9,10,8,7,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,8),(5,9),(6,8),(6,9),(7,10),(7,11),(8,9),(10,11)],12)
[3,4,2,1,6,5,9,11,8,12,10,7] => ([(0,1),(2,9),(2,10),(3,9),(3,10),(4,8),(4,11),(5,7),(5,11),(6,7),(6,8),(6,11),(7,11),(8,11),(9,10)],12)
[3,4,2,1,6,5,10,11,12,9,8,7] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(9,10),(9,11),(10,11)],12)
[3,4,2,1,7,8,6,5,10,9,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,8),(5,9),(6,8),(6,9),(7,10),(7,11),(8,9),(10,11)],12)
[3,4,2,1,7,8,6,5,11,12,10,9] => ([(0,10),(0,11),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,8),(4,9),(5,10),(5,11),(6,7),(8,9),(10,11)],12)
[3,4,2,1,7,9,6,10,8,5,12,11] => ([(0,1),(2,9),(2,10),(3,9),(3,10),(4,8),(4,11),(5,7),(5,11),(6,7),(6,8),(6,11),(7,11),(8,11),(9,10)],12)
[3,4,2,1,7,9,6,11,8,12,10,5] => ([(0,9),(0,10),(1,9),(1,10),(2,8),(2,11),(3,7),(3,11),(4,5),(4,6),(4,11),(5,7),(5,11),(6,8),(6,11),(7,11),(8,11),(9,10)],12)
[3,4,2,1,7,10,6,11,12,9,8,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,11),(6,7),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,4,2,1,8,9,10,7,6,5,12,11] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(9,10),(9,11),(10,11)],12)
[3,4,2,1,8,9,11,7,6,12,10,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,11),(6,7),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,4,2,1,8,10,11,7,12,9,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,5),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,4,2,1,9,10,11,12,8,7,6,5] => ([(0,2),(0,3),(1,2),(1,3),(2,3),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,5,2,6,4,1,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[3,5,2,6,4,1,8,7,11,12,10,9] => ([(0,1),(2,9),(2,10),(3,9),(3,10),(4,8),(4,11),(5,7),(5,11),(6,7),(6,8),(6,11),(7,11),(8,11),(9,10)],12)
[3,5,2,6,4,1,9,10,8,7,12,11] => ([(0,1),(2,9),(2,10),(3,9),(3,10),(4,8),(4,11),(5,7),(5,11),(6,7),(6,8),(6,11),(7,11),(8,11),(9,10)],12)
[3,5,2,6,4,1,9,11,8,12,10,7] => ([(0,7),(0,10),(1,6),(1,10),(2,9),(2,11),(3,8),(3,11),(4,8),(4,9),(4,11),(5,6),(5,7),(5,10),(6,10),(7,10),(8,11),(9,11)],12)
[3,5,2,6,4,1,10,11,12,9,8,7] => ([(0,7),(0,11),(1,6),(1,11),(2,6),(2,7),(2,11),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[3,5,2,7,4,8,6,1,10,9,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,11),(6,7),(6,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[3,5,2,7,4,8,6,1,11,12,10,9] => ([(0,9),(0,10),(1,9),(1,10),(2,8),(2,11),(3,7),(3,11),(4,5),(4,6),(4,11),(5,7),(5,11),(6,8),(6,11),(7,11),(8,11),(9,10)],12)
[3,5,2,7,4,9,6,10,8,1,12,11] => ([(0,1),(2,10),(2,11),(3,9),(3,11),(4,5),(4,6),(4,11),(5,7),(5,11),(6,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[3,5,2,7,4,9,6,11,8,12,10,1] => ([(0,10),(0,11),(1,9),(1,11),(2,3),(2,4),(2,11),(3,5),(3,11),(4,6),(4,11),(5,7),(5,11),(6,8),(6,11),(7,9),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[3,5,2,7,4,10,6,11,12,9,8,1] => ([(0,7),(0,11),(1,2),(1,3),(1,11),(2,6),(2,11),(3,7),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,5,2,8,4,9,10,7,6,1,12,11] => ([(0,1),(2,7),(2,11),(3,6),(3,7),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,5,2,8,4,9,11,7,6,12,10,1] => ([(0,6),(0,11),(1,5),(1,11),(2,4),(2,5),(2,11),(3,9),(3,10),(3,11),(4,8),(4,11),(5,11),(6,7),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,5,2,8,4,10,11,7,12,9,6,1] => ([(0,4),(0,11),(1,3),(1,4),(1,11),(2,8),(2,10),(2,11),(3,5),(3,11),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,5,2,9,4,10,11,12,8,7,6,1] => ([(0,3),(0,11),(1,2),(1,3),(1,11),(2,7),(2,11),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,2,7,8,5,4,1,10,9,12,11] => ([(0,3),(1,2),(4,7),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,2,7,8,5,4,1,11,12,10,9] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,11),(6,7),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,2,7,9,5,4,10,8,1,12,11] => ([(0,1),(2,6),(2,11),(3,5),(3,11),(4,9),(4,10),(4,11),(5,7),(5,11),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,2,7,9,5,4,11,8,12,10,1] => ([(0,6),(0,11),(1,5),(1,11),(2,4),(2,5),(2,11),(3,9),(3,10),(3,11),(4,8),(4,11),(5,11),(6,7),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,2,7,10,5,4,11,12,9,8,1] => ([(0,4),(0,11),(1,7),(1,8),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,2,8,9,5,10,7,4,1,12,11] => ([(0,1),(2,4),(2,11),(3,9),(3,10),(3,11),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,2,8,9,5,11,7,4,12,10,1] => ([(0,3),(0,11),(1,2),(1,11),(2,6),(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,2,8,10,5,11,7,12,9,4,1] => ([(0,2),(0,11),(1,9),(1,10),(1,11),(2,5),(2,11),(3,7),(3,8),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,2,9,10,5,11,12,8,7,4,1] => ([(0,1),(0,11),(1,4),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,7,2,8,9,10,6,5,4,1,12,11] => ([(0,1),(2,3),(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,7,2,8,9,11,6,5,4,12,10,1] => ([(0,3),(0,11),(1,2),(1,11),(2,6),(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,7,2,8,10,11,6,5,12,9,4,1] => ([(0,2),(0,11),(1,7),(1,10),(1,11),(2,6),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,7,2,9,10,11,6,12,8,5,4,1] => ([(0,1),(0,11),(1,6),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,8,2,9,10,11,12,7,6,5,4,1] => ([(0,1),(0,11),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,6,3,2,1,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,6,3,2,1,8,7,11,12,10,9] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(9,10),(9,11),(10,11)],12)
[4,5,6,3,2,1,9,10,8,7,12,11] => ([(0,1),(2,7),(2,8),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(9,10),(9,11),(10,11)],12)
[4,5,6,3,2,1,9,11,8,12,10,7] => ([(0,7),(0,11),(1,6),(1,11),(2,6),(2,7),(2,11),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[4,5,6,3,2,1,10,11,12,9,8,7] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[4,5,7,3,2,8,6,1,10,9,12,11] => ([(0,3),(1,2),(4,7),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,7,3,2,8,6,1,11,12,10,9] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,11),(6,7),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,7,3,2,9,6,10,8,1,12,11] => ([(0,1),(2,7),(2,11),(3,6),(3,7),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,7,3,2,9,6,11,8,12,10,1] => ([(0,7),(0,11),(1,2),(1,3),(1,11),(2,6),(2,11),(3,7),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,7,3,2,10,6,11,12,9,8,1] => ([(0,7),(0,8),(0,11),(1,7),(1,8),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,6),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,8,3,2,9,10,7,6,1,12,11] => ([(0,1),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,8,3,2,9,11,7,6,12,10,1] => ([(0,4),(0,11),(1,7),(1,8),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,8,3,2,10,11,7,12,9,6,1] => ([(0,8),(0,9),(0,11),(1,8),(1,9),(1,11),(2,7),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[4,5,9,3,2,10,11,12,8,7,6,1] => ([(0,5),(0,6),(0,11),(1,5),(1,6),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,7,3,8,5,2,1,10,9,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,7,3,8,5,2,1,11,12,10,9] => ([(0,4),(0,5),(1,4),(1,5),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,5),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,7,3,9,5,2,10,8,1,12,11] => ([(0,1),(2,4),(2,11),(3,9),(3,10),(3,11),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,7,3,9,5,2,11,8,12,10,1] => ([(0,4),(0,11),(1,3),(1,4),(1,11),(2,8),(2,10),(2,11),(3,5),(3,11),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,7,3,10,5,2,11,12,9,8,1] => ([(0,8),(0,9),(0,11),(1,8),(1,9),(1,11),(2,7),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[4,6,8,3,9,5,10,7,2,1,12,11] => ([(0,1),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,8,3,9,5,11,7,2,12,10,1] => ([(0,2),(0,11),(1,9),(1,10),(1,11),(2,5),(2,11),(3,7),(3,8),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,8,3,10,5,11,7,12,9,2,1] => ([(0,9),(0,10),(0,11),(1,8),(1,10),(1,11),(2,6),(2,8),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,9,3,10,5,11,12,8,7,2,1] => ([(0,6),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,7,8,3,9,10,6,5,2,1,12,11] => ([(0,1),(2,7),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,7,8,3,9,11,6,5,2,12,10,1] => ([(0,2),(0,11),(1,7),(1,10),(1,11),(2,6),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,7,8,3,10,11,6,5,12,9,2,1] => ([(0,7),(0,10),(0,11),(1,6),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,7,9,3,10,11,6,12,8,5,2,1] => ([(0,5),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,8,9,3,10,11,12,7,6,5,2,1] => ([(0,4),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,7,8,4,3,2,1,10,9,12,11] => ([(0,3),(1,2),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,7,8,4,3,2,1,11,12,10,9] => ([(0,2),(0,3),(1,2),(1,3),(2,3),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,7,9,4,3,2,10,8,1,12,11] => ([(0,1),(2,3),(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,7,9,4,3,2,11,8,12,10,1] => ([(0,3),(0,11),(1,2),(1,3),(1,11),(2,7),(2,11),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,7,10,4,3,2,11,12,9,8,1] => ([(0,5),(0,6),(0,11),(1,5),(1,6),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,8,9,4,3,10,7,2,1,12,11] => ([(0,1),(2,7),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,8,9,4,3,11,7,2,12,10,1] => ([(0,1),(0,11),(1,4),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,8,10,4,3,11,7,12,9,2,1] => ([(0,6),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,9,10,4,3,11,12,8,7,2,1] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,10),(1,11),(2,6),(2,7),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,7,8,9,4,10,6,3,2,1,12,11] => ([(0,1),(2,8),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,7,8,9,4,11,6,3,2,12,10,1] => ([(0,1),(0,11),(1,6),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,7,8,10,4,11,6,3,12,9,2,1] => ([(0,5),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,7,9,10,4,11,6,12,8,3,2,1] => ([(0,8),(0,9),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,6),(2,7),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,8,9,10,4,11,12,7,6,3,2,1] => ([(0,6),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,7,8,9,10,5,4,3,2,1,12,11] => ([(0,1),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,7,8,9,11,5,4,3,2,12,10,1] => ([(0,1),(0,11),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,7,8,10,11,5,4,3,12,9,2,1] => ([(0,4),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,7,9,10,11,5,4,12,8,3,2,1] => ([(0,6),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,8,9,10,11,5,12,7,4,3,2,1] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,8,9,10,11,12,6,5,4,3,2,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,9,10,7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,7,8,5,6,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,8,10,9,5,6,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,10,12,8,11,9,5,6,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,8,9,12,11,10,5,6,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,5,6,8,7,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,5,6,8,7,3,4,1,2] => ([(0,2),(0,3),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,5,8,10,6,9,7,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,10,12,8,11,6,9,7,3,4,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,8,9,12,11,6,10,7,3,4,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,5,6,7,10,9,8,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,10,12,6,7,11,9,8,3,4,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,9,12,7,11,10,8,3,4,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,7,8,12,11,10,9,3,4,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,7,8,3,4,6,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,7,8,3,4,6,5,1,2] => ([(0,2),(0,3),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,8,10,9,3,4,6,5,1,2] => ([(0,2),(0,3),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,10,12,8,11,9,3,4,6,5,1,2] => ([(0,4),(0,5),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,8,9,12,11,10,3,4,6,5,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,3,6,8,4,7,5,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,3,6,8,4,7,5,1,2] => ([(0,4),(0,5),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,3,8,10,6,9,4,7,5,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,12,8,11,6,9,4,7,5,1,2] => ([(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,8,9,12,11,6,10,4,7,5,1,2] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,3,6,7,10,9,4,8,5,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,12,6,7,11,9,4,8,5,1,2] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,9,12,7,11,10,4,8,5,1,2] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,7,8,12,11,10,4,9,5,1,2] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,3,4,5,8,7,6,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,3,4,5,8,7,6,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,3,8,10,4,5,9,7,6,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,12,8,11,4,5,9,7,6,1,2] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,8,9,12,11,4,5,10,7,6,1,2] => ([(0,10),(0,11),(1,3),(1,4),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,3,4,7,10,5,9,8,6,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,12,4,7,11,5,9,8,6,1,2] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,9,12,7,11,5,10,8,6,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,7,8,12,11,5,10,9,6,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,3,4,5,6,10,9,8,7,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,12,4,5,6,11,9,8,7,1,2] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,9,12,5,6,11,10,8,7,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,5,8,12,6,11,10,9,7,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,5,6,7,12,11,10,9,8,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,7,8,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,7,8,5,6,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,8,10,9,5,6,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,10,12,8,11,9,5,6,1,2,4,3] => ([(0,4),(0,5),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,8,9,12,11,10,5,6,1,2,4,3] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,5,6,8,7,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,5,6,8,7,1,2,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,5,8,10,6,9,7,1,2,4,3] => ([(0,4),(0,5),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,10,12,8,11,6,9,7,1,2,4,3] => ([(0,6),(0,7),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,8,9,12,11,6,10,7,1,2,4,3] => ([(0,7),(0,8),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(8,9),(9,10),(9,11),(10,11)],12)
[11,12,5,6,7,10,9,8,1,2,4,3] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,10,12,6,7,11,9,8,1,2,4,3] => ([(0,7),(0,8),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(8,9),(9,10),(9,11),(10,11)],12)
[5,6,9,12,7,11,10,8,1,2,4,3] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(10,11)],12)
[5,6,7,8,12,11,10,9,1,2,4,3] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(10,11)],12)
[11,12,9,10,7,8,1,4,6,2,5,3] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,7,8,1,4,6,2,5,3] => ([(0,4),(0,5),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,8,10,9,1,4,6,2,5,3] => ([(0,4),(0,5),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,10,12,8,11,9,1,4,6,2,5,3] => ([(0,1),(0,4),(0,5),(0,7),(0,10),(0,11),(1,2),(1,3),(1,6),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,8,9,12,11,10,1,4,6,2,5,3] => ([(0,3),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,10),(9,10),(9,11),(10,11)],12)
[11,12,9,10,1,6,8,4,7,2,5,3] => ([(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,1,6,8,4,7,2,5,3] => ([(0,6),(0,7),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,1,8,10,6,9,4,7,2,5,3] => ([(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,8,11,6,9,4,7,2,5,3] => ([(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,9,12,11,6,10,4,7,2,5,3] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(8,9),(8,11),(9,11),(10,11)],12)
[11,12,1,6,7,10,9,4,8,2,5,3] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,6,7,11,9,4,8,2,5,3] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,9,12,7,11,10,4,8,2,5,3] => ([(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,11),(10,11)],12)
[1,6,7,8,12,11,10,4,9,2,5,3] => ([(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(10,11)],12)
[11,12,9,10,1,4,5,8,7,2,6,3] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,1,4,5,8,7,2,6,3] => ([(0,7),(0,8),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(8,9),(9,10),(9,11),(10,11)],12)
[11,12,1,8,10,4,5,9,7,2,6,3] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,8,11,4,5,9,7,2,6,3] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,9,12,11,4,5,10,7,2,6,3] => ([(1,3),(1,4),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,1,4,7,10,5,9,8,2,6,3] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,4,7,11,5,9,8,2,6,3] => ([(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[1,4,9,12,7,11,5,10,8,2,6,3] => ([(1,10),(1,11),(2,3),(2,4),(2,7),(2,9),(2,10),(2,11),(3,4),(3,6),(3,9),(3,10),(3,11),(4,6),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,7,8,12,11,5,10,9,2,6,3] => ([(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[11,12,1,4,5,6,10,9,8,2,7,3] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,4,5,6,11,9,8,2,7,3] => ([(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[1,4,9,12,5,6,11,10,8,2,7,3] => ([(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,5,8,12,6,11,10,9,2,7,3] => ([(1,10),(1,11),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11)],12)
[1,4,5,6,7,12,11,10,9,2,8,3] => ([(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,7,8,1,2,3,6,5,4] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,7,8,1,2,3,6,5,4] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,8,10,9,1,2,3,6,5,4] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,10,12,8,11,9,1,2,3,6,5,4] => ([(0,3),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,10),(9,10),(9,11),(10,11)],12)
[7,8,9,12,11,10,1,2,3,6,5,4] => ([(0,3),(0,4),(0,5),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,9,10,1,6,8,2,3,7,5,4] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,1,6,8,2,3,7,5,4] => ([(0,7),(0,8),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(8,9),(9,10),(9,11),(10,11)],12)
[11,12,1,8,10,6,9,2,3,7,5,4] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,8,11,6,9,2,3,7,5,4] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(8,9),(8,11),(9,11),(10,11)],12)
[1,8,9,12,11,6,10,2,3,7,5,4] => ([(1,3),(1,4),(1,6),(1,7),(1,8),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,11),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,1,6,7,10,9,2,3,8,5,4] => ([(0,10),(0,11),(1,3),(1,4),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,6,7,11,9,2,3,8,5,4] => ([(1,3),(1,4),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,9,12,7,11,10,2,3,8,5,4] => ([(1,5),(1,6),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,10),(2,11),(3,5),(3,6),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,7,8,12,11,10,2,3,9,5,4] => ([(1,5),(1,6),(1,10),(1,11),(2,5),(2,6),(2,10),(2,11),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,9,10,1,2,5,8,3,7,6,4] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,1,2,5,8,3,7,6,4] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(10,11)],12)
[11,12,1,8,10,2,5,9,3,7,6,4] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,8,11,2,5,9,3,7,6,4] => ([(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,11),(10,11)],12)
[1,8,9,12,11,2,5,10,3,7,6,4] => ([(1,5),(1,6),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,10),(2,11),(3,5),(3,6),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,1,2,7,10,5,9,3,8,6,4] => ([(0,10),(0,11),(1,10),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,2,7,11,5,9,3,8,6,4] => ([(1,10),(1,11),(2,3),(2,4),(2,7),(2,9),(2,10),(2,11),(3,4),(3,6),(3,9),(3,10),(3,11),(4,6),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,9,12,7,11,5,10,3,8,6,4] => ([(2,3),(2,4),(2,5),(2,7),(2,9),(2,11),(3,4),(3,5),(3,6),(3,8),(3,10),(4,5),(4,8),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,2,7,8,12,11,5,10,3,9,6,4] => ([(2,6),(2,7),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,1,2,5,6,10,9,3,8,7,4] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,2,5,6,11,9,3,8,7,4] => ([(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,9,12,5,6,11,10,3,8,7,4] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[1,2,5,8,12,6,11,10,3,9,7,4] => ([(2,9),(2,11),(3,4),(3,8),(3,9),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[1,2,5,6,7,12,11,10,3,9,8,4] => ([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,1,2,3,4,8,7,6,5] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,12,11,1,2,3,4,8,7,6,5] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(10,11)],12)
[11,12,1,8,10,2,3,4,9,7,6,5] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,8,11,2,3,4,9,7,6,5] => ([(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(10,11)],12)
[1,8,9,12,11,2,3,4,10,7,6,5] => ([(1,5),(1,6),(1,10),(1,11),(2,5),(2,6),(2,10),(2,11),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,1,2,7,10,3,4,9,8,6,5] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,2,7,11,3,4,9,8,6,5] => ([(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[1,2,9,12,7,11,3,4,10,8,6,5] => ([(2,6),(2,7),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,2,7,8,12,11,3,4,10,9,6,5] => ([(2,4),(2,5),(2,10),(2,11),(3,4),(3,5),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,1,2,3,6,10,4,9,8,7,5] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,2,3,6,11,4,9,8,7,5] => ([(1,10),(1,11),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11)],12)
[1,2,9,12,3,6,11,4,10,8,7,5] => ([(2,9),(2,11),(3,4),(3,8),(3,9),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[1,2,3,8,12,6,11,4,10,9,7,5] => ([(3,4),(3,5),(3,10),(3,11),(4,5),(4,9),(4,11),(5,8),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,2,3,6,7,12,11,4,10,9,8,5] => ([(3,5),(3,11),(4,5),(4,11),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,1,2,3,4,5,10,9,8,7,6] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,12,2,3,4,5,11,9,8,7,6] => ([(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,9,12,3,4,5,11,10,8,7,6] => ([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,3,8,12,4,5,11,10,9,7,6] => ([(3,5),(3,11),(4,5),(4,11),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,2,3,4,7,12,5,11,10,9,8,6] => ([(4,5),(4,11),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,2,3,4,5,6,12,11,10,9,8,7] => ([(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,12,9,11,7,8,5,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,8,10,7,9,5,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,8,11,7,9,5,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,12,8,11,7,10,5,6,3,4,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,6,8,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,6,8,5,7,3,4,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,8,10,6,9,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,8,11,6,9,5,7,3,4,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,6,10,5,7,3,4,1,2] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,10,6,9,5,8,3,4,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,7,11,6,9,5,8,3,4,1,2] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,12,7,11,6,10,5,8,3,4,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,12,7,11,6,10,5,9,3,4,1,2] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,7,8,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,7,8,4,6,3,5,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,8,10,7,9,4,6,3,5,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,8,11,7,9,4,6,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,7,10,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,6,8,4,7,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,6,8,4,7,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,10,6,9,4,7,3,5,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,12,8,11,6,9,4,7,3,5,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,6,10,4,7,3,5,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,12,7,10,6,9,4,8,3,5,1,2] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,7,11,6,9,4,8,3,5,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,7,11,6,10,4,8,3,5,1,2] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,12,7,11,6,10,4,9,3,5,1,2] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(0,10),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,12,9,10,5,8,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,5,8,4,7,3,6,1,2] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,8,10,5,9,4,7,3,6,1,2] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,8,11,5,9,4,7,3,6,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[9,12,8,11,5,10,4,7,3,6,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,10,5,9,4,8,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,7,11,5,9,4,8,3,6,1,2] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[9,12,7,11,5,10,4,8,3,6,1,2] => ([(0,1),(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,7,11,5,10,4,9,3,6,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,12,6,10,5,9,4,8,3,7,1,2] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,6,11,5,9,4,8,3,7,1,2] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(0,10),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[9,12,6,11,5,10,4,8,3,7,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,12,6,11,5,10,4,9,3,7,1,2] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,12,6,11,5,10,4,9,3,8,1,2] => ([(0,3),(0,5),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,7,8,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,7,8,5,6,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,8,10,7,9,5,6,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,8,11,7,9,5,6,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,7,10,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,6,8,5,7,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,6,8,5,7,2,4,1,3] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,10,6,9,5,7,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,12,8,11,6,9,5,7,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,6,10,5,7,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,10,6,9,5,8,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,7,11,6,9,5,8,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,7,11,6,10,5,8,2,4,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,7,11,6,10,5,9,2,4,1,3] => ([(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,9,10,7,8,4,6,2,5,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,7,8,4,6,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,10,7,9,4,6,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,12,8,11,7,9,4,6,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,7,10,4,6,2,5,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,9,10,6,8,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,12,9,11,6,8,4,7,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,10,6,9,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,12,8,11,6,9,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,6,10,4,7,2,5,1,3] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,10,6,9,4,8,2,5,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,12,7,11,6,9,4,8,2,5,1,3] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,7,11,6,10,4,8,2,5,1,3] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,11),(3,4),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,7,11,6,10,4,9,2,5,1,3] => ([(0,2),(0,4),(0,6),(0,7),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[11,12,9,10,5,8,4,7,2,6,1,3] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,5,8,4,7,2,6,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,10,5,9,4,7,2,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,12,8,11,5,9,4,7,2,6,1,3] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,5,10,4,7,2,6,1,3] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,7),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,10,5,9,4,8,2,6,1,3] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,12,7,11,5,9,4,8,2,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,10),(2,11),(3,5),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,7,11,5,10,4,8,2,6,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,10),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,7,11,5,10,4,9,2,6,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,8),(0,9),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[11,12,6,10,5,9,4,8,2,7,1,3] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(0,10),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,12,6,11,5,9,4,8,2,7,1,3] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[9,12,6,11,5,10,4,8,2,7,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[8,12,6,11,5,10,4,9,2,7,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,3),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,12,6,11,5,10,4,9,2,8,1,3] => ([(0,2),(0,4),(0,6),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,9),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[11,12,9,10,7,8,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,7,8,3,6,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,8,10,7,9,3,6,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,8,11,7,9,3,6,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,7,10,3,6,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,9,10,6,8,3,7,2,5,1,4] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,6,8,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,10,6,9,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,12,8,11,6,9,3,7,2,5,1,4] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,6,10,3,7,2,5,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,10),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,10,6,9,3,8,2,5,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,12,7,11,6,9,3,8,2,5,1,4] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,7),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,7,11,6,10,3,8,2,5,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(0,11),(1,2),(1,3),(1,4),(1,7),(1,8),(1,9),(1,10),(2,3),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,7,11,6,10,3,9,2,5,1,4] => ([(0,2),(0,4),(0,5),(0,6),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,9,10,5,8,3,7,2,6,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,5,8,3,7,2,6,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,10,5,9,3,7,2,6,1,4] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,12,8,11,5,9,3,7,2,6,1,4] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,11),(3,4),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,8,11,5,10,3,7,2,6,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(0,11),(1,2),(1,3),(1,4),(1,7),(1,8),(1,9),(1,10),(2,3),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,10,5,9,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,12,7,11,5,9,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,10),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,7,11,5,10,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,7),(0,9),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(1,10),(2,3),(2,4),(2,6),(2,8),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,7,11,5,10,3,9,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(0,9),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,6,10,5,9,3,8,2,7,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,12,6,11,5,9,3,8,2,7,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[9,12,6,11,5,10,3,8,2,7,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,6,11,5,10,3,9,2,7,1,4] => ([(0,1),(0,2),(0,4),(0,5),(0,9),(0,10),(0,11),(1,4),(1,5),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,10),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,12,6,11,5,10,3,9,2,8,1,4] => ([(0,2),(0,4),(0,5),(0,7),(0,9),(0,11),(1,3),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,9,10,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,9,11,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,10,4,9,3,7,2,6,1,5] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(0,10),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,12,8,11,4,9,3,7,2,6,1,5] => ([(0,2),(0,4),(0,6),(0,7),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[9,12,8,11,4,10,3,7,2,6,1,5] => ([(0,2),(0,4),(0,5),(0,6),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,10,4,9,3,8,2,6,1,5] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,12,7,11,4,9,3,8,2,6,1,5] => ([(0,2),(0,3),(0,5),(0,6),(0,8),(0,9),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[9,12,7,11,4,10,3,8,2,6,1,5] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(0,9),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,7,11,4,10,3,9,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,10),(3,4),(3,5),(3,7),(3,9),(3,11),(4,5),(4,6),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,6,10,4,9,3,8,2,7,1,5] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,12,6,11,4,9,3,8,2,7,1,5] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,3),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,12,6,11,4,10,3,8,2,7,1,5] => ([(0,1),(0,2),(0,4),(0,5),(0,9),(0,10),(0,11),(1,4),(1,5),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,10),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,6,11,4,10,3,9,2,7,1,5] => ([(0,1),(0,2),(0,3),(0,5),(0,7),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,8),(1,10),(2,4),(2,6),(2,8),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,12,6,11,4,10,3,9,2,8,1,5] => ([(0,2),(0,3),(0,5),(0,6),(0,8),(0,11),(1,4),(1,5),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,5,10,4,9,3,8,2,7,1,6] => ([(0,3),(0,5),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,12,5,11,4,9,3,8,2,7,1,6] => ([(0,2),(0,4),(0,6),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,9),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[9,12,5,11,4,10,3,8,2,7,1,6] => ([(0,2),(0,4),(0,5),(0,7),(0,9),(0,11),(1,3),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,5,11,4,10,3,9,2,7,1,6] => ([(0,2),(0,3),(0,5),(0,6),(0,8),(0,11),(1,4),(1,5),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,12,5,11,4,10,3,9,2,8,1,6] => ([(0,1),(0,3),(0,5),(0,7),(0,9),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(2,4),(2,6),(2,8),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,12,5,11,4,10,3,9,2,8,1,7] => ([(0,3),(0,5),(0,7),(0,9),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(2,4),(2,6),(2,8),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,7,5,3,1,12,10,8,6,4,2] => ([(0,3),(0,5),(0,7),(0,9),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(2,4),(2,6),(2,8),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,7,5,3,1,12,11,8,6,4,2] => ([(0,1),(0,4),(0,6),(0,8),(0,11),(1,4),(1,6),(1,8),(1,11),(2,3),(2,5),(2,7),(2,9),(2,10),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,7,5,3,1,12,10,9,6,4,2] => ([(0,2),(0,3),(0,6),(0,9),(0,10),(1,4),(1,5),(1,7),(1,8),(1,11),(2,3),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,7,5,3,1,12,11,9,6,4,2] => ([(0,1),(0,3),(0,6),(0,9),(0,11),(1,3),(1,6),(1,9),(1,11),(2,4),(2,5),(2,7),(2,8),(2,10),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,5,3,1,12,11,10,6,4,2] => ([(0,1),(0,2),(0,6),(0,10),(0,11),(1,2),(1,6),(1,10),(1,11),(2,6),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,6,5,3,1,12,10,8,7,4,2] => ([(0,3),(0,6),(0,7),(0,9),(0,11),(1,2),(1,4),(1,5),(1,8),(1,10),(2,4),(2,5),(2,8),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,6,5,3,1,12,11,8,7,4,2] => ([(0,3),(0,4),(0,5),(0,8),(0,9),(1,2),(1,6),(1,7),(1,10),(1,11),(2,6),(2,7),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,6,5,3,1,12,10,9,7,4,2] => ([(0,2),(0,3),(0,5),(0,9),(0,10),(1,4),(1,6),(1,7),(1,8),(1,11),(2,3),(2,5),(2,9),(2,10),(2,11),(3,5),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,6,5,3,1,12,11,9,7,4,2] => ([(0,1),(0,3),(0,5),(0,9),(0,11),(1,3),(1,5),(1,9),(1,11),(2,4),(2,6),(2,7),(2,8),(2,10),(3,5),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,6,5,3,1,12,11,10,7,4,2] => ([(0,1),(0,2),(0,5),(0,10),(0,11),(1,2),(1,5),(1,10),(1,11),(2,5),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,6,5,3,1,12,10,9,8,4,2] => ([(0,2),(0,3),(0,4),(0,9),(0,10),(1,5),(1,6),(1,7),(1,8),(1,11),(2,3),(2,4),(2,9),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,6,5,3,1,12,11,9,8,4,2] => ([(0,3),(0,6),(0,7),(0,8),(0,10),(1,2),(1,4),(1,5),(1,9),(1,11),(2,4),(2,5),(2,9),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,6,5,3,1,12,11,10,8,4,2] => ([(0,1),(0,2),(0,4),(0,10),(0,11),(1,2),(1,4),(1,10),(1,11),(2,4),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,5,3,1,12,11,10,9,4,2] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,7,4,3,1,12,10,8,6,5,2] => ([(0,2),(0,3),(0,6),(0,9),(0,10),(1,4),(1,5),(1,7),(1,8),(1,11),(2,3),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,7,4,3,1,12,11,8,6,5,2] => ([(0,1),(0,5),(0,6),(0,7),(0,11),(1,5),(1,6),(1,7),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,7,4,3,1,12,10,9,6,5,2] => ([(0,4),(0,5),(0,8),(0,9),(0,11),(1,2),(1,3),(1,6),(1,7),(1,10),(2,3),(2,6),(2,7),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,7,4,3,1,12,11,9,6,5,2] => ([(0,3),(0,4),(0,6),(0,7),(0,10),(1,2),(1,5),(1,8),(1,9),(1,11),(2,5),(2,8),(2,9),(2,11),(3,4),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,4,3,1,12,11,10,6,5,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,6,4,3,1,12,10,8,7,5,2] => ([(0,2),(0,3),(0,5),(0,9),(0,10),(1,4),(1,6),(1,7),(1,8),(1,11),(2,3),(2,5),(2,9),(2,10),(2,11),(3,5),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,6,4,3,1,12,11,8,7,5,2] => ([(0,1),(0,5),(0,6),(0,8),(0,11),(1,5),(1,6),(1,8),(1,11),(2,3),(2,4),(2,7),(2,9),(2,10),(3,4),(3,7),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,6,4,3,1,12,10,9,7,5,2] => ([(0,4),(0,5),(0,7),(0,9),(0,11),(1,2),(1,3),(1,6),(1,8),(1,10),(2,3),(2,6),(2,8),(2,10),(2,11),(3,6),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,6,4,3,1,12,11,9,7,5,2] => ([(0,1),(0,3),(0,6),(0,8),(0,11),(1,3),(1,6),(1,8),(1,11),(2,4),(2,5),(2,7),(2,9),(2,10),(3,6),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,6,4,3,1,12,11,10,7,5,2] => ([(0,1),(0,2),(0,6),(0,8),(0,11),(1,2),(1,6),(1,8),(1,11),(2,6),(2,8),(2,11),(3,4),(3,5),(3,7),(3,9),(3,10),(4,5),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,6,4,3,1,12,10,9,8,5,2] => ([(0,2),(0,3),(0,4),(0,9),(0,10),(1,5),(1,6),(1,7),(1,8),(1,11),(2,3),(2,4),(2,9),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,6,4,3,1,12,11,9,8,5,2] => ([(0,3),(0,4),(0,7),(0,8),(0,10),(1,2),(1,5),(1,6),(1,9),(1,11),(2,5),(2,6),(2,9),(2,11),(3,4),(3,7),(3,8),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,6,4,3,1,12,11,10,8,5,2] => ([(0,1),(0,2),(0,4),(0,9),(0,11),(1,2),(1,4),(1,9),(1,11),(2,4),(2,9),(2,11),(3,5),(3,6),(3,7),(3,8),(3,10),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,4,3,1,12,11,10,9,5,2] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,5,4,3,1,12,10,8,7,6,2] => ([(0,2),(0,3),(0,4),(0,9),(0,10),(1,5),(1,6),(1,7),(1,8),(1,11),(2,3),(2,4),(2,9),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,5,4,3,1,12,11,8,7,6,2] => ([(0,1),(0,6),(0,7),(0,8),(0,11),(1,6),(1,7),(1,8),(1,11),(2,3),(2,4),(2,5),(2,9),(2,10),(3,4),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,5,4,3,1,12,10,9,7,6,2] => ([(0,2),(0,3),(0,4),(0,9),(0,10),(1,5),(1,6),(1,7),(1,8),(1,11),(2,3),(2,4),(2,9),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,5,4,3,1,12,11,9,7,6,2] => ([(0,3),(0,4),(0,5),(0,9),(0,10),(1,2),(1,6),(1,7),(1,8),(1,11),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,5,4,3,1,12,11,10,7,6,2] => ([(0,1),(0,2),(0,7),(0,8),(0,11),(1,2),(1,7),(1,8),(1,11),(2,7),(2,8),(2,11),(3,4),(3,5),(3,6),(3,9),(3,10),(4,5),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,5,4,3,1,12,10,9,8,6,2] => ([(0,5),(0,6),(0,7),(0,9),(0,11),(1,2),(1,3),(1,4),(1,8),(1,10),(2,3),(2,4),(2,8),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,5,4,3,1,12,11,9,8,6,2] => ([(0,3),(0,4),(0,5),(0,8),(0,10),(1,2),(1,6),(1,7),(1,9),(1,11),(2,6),(2,7),(2,9),(2,11),(3,4),(3,5),(3,8),(3,10),(3,11),(4,5),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,5,4,3,1,12,11,10,8,6,2] => ([(0,1),(0,2),(0,4),(0,8),(0,11),(1,2),(1,4),(1,8),(1,11),(2,4),(2,8),(2,11),(3,5),(3,6),(3,7),(3,9),(3,10),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,5,4,3,1,12,11,10,9,6,2] => ([(0,1),(0,2),(0,3),(0,8),(0,11),(1,2),(1,3),(1,8),(1,11),(2,3),(2,8),(2,11),(3,8),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,5,4,3,1,12,10,9,8,7,2] => ([(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,5),(1,10),(2,3),(2,4),(2,5),(2,10),(2,11),(3,4),(3,5),(3,10),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,6,5,4,3,1,12,11,9,8,7,2] => ([(0,3),(0,4),(0,5),(0,6),(0,10),(1,2),(1,7),(1,8),(1,9),(1,11),(2,7),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,5,4,3,1,12,11,10,8,7,2] => ([(0,4),(0,5),(0,6),(0,7),(0,10),(1,2),(1,3),(1,8),(1,9),(1,11),(2,3),(2,8),(2,9),(2,11),(3,8),(3,9),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,5,4,3,1,12,11,10,9,7,2] => ([(0,1),(0,2),(0,3),(0,5),(0,11),(1,2),(1,3),(1,5),(1,11),(2,3),(2,5),(2,11),(3,5),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,4,3,1,12,11,10,9,8,2] => ([(0,1),(0,2),(0,3),(0,4),(0,11),(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,7,5,2,1,12,10,8,6,4,3] => ([(0,1),(0,4),(0,6),(0,8),(0,11),(1,4),(1,6),(1,8),(1,11),(2,3),(2,5),(2,7),(2,9),(2,10),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,7,5,2,1,12,11,8,6,4,3] => ([(0,1),(0,5),(0,6),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,3),(2,4),(2,7),(2,10),(2,11),(3,4),(3,7),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,7,5,2,1,12,10,9,6,4,3] => ([(0,1),(0,5),(0,6),(0,7),(0,11),(1,5),(1,6),(1,7),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,7,5,2,1,12,11,9,6,4,3] => ([(0,1),(0,5),(0,6),(0,7),(0,9),(1,5),(1,6),(1,7),(1,9),(2,3),(2,4),(2,8),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,5,2,1,12,11,10,6,4,3] => ([(0,1),(0,2),(0,6),(0,10),(0,11),(1,2),(1,6),(1,10),(1,11),(2,6),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,6,5,2,1,12,10,8,7,4,3] => ([(0,3),(0,4),(0,5),(0,8),(0,9),(1,2),(1,6),(1,7),(1,10),(1,11),(2,6),(2,7),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,6,5,2,1,12,11,8,7,4,3] => ([(0,3),(0,6),(0,7),(0,10),(0,11),(1,2),(1,4),(1,5),(1,8),(1,9),(2,4),(2,5),(2,8),(2,9),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,6,5,2,1,12,10,9,7,4,3] => ([(0,1),(0,5),(0,6),(0,8),(0,11),(1,5),(1,6),(1,8),(1,11),(2,3),(2,4),(2,7),(2,9),(2,10),(3,4),(3,7),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,6,5,2,1,12,11,9,7,4,3] => ([(0,1),(0,5),(0,6),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,3),(2,4),(2,7),(2,10),(2,11),(3,4),(3,7),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,6,5,2,1,12,11,10,7,4,3] => ([(0,1),(0,2),(0,5),(0,10),(0,11),(1,2),(1,5),(1,10),(1,11),(2,5),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,6,5,2,1,12,10,9,8,4,3] => ([(0,1),(0,6),(0,7),(0,8),(0,11),(1,6),(1,7),(1,8),(1,11),(2,3),(2,4),(2,5),(2,9),(2,10),(3,4),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,6,5,2,1,12,11,9,8,4,3] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,10),(2,11),(3,4),(3,5),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,6,5,2,1,12,11,10,8,4,3] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,10),(2,11),(3,4),(3,5),(3,10),(3,11),(4,5),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,5,2,1,12,11,10,9,4,3] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,7,4,2,1,12,10,8,6,5,3] => ([(0,1),(0,3),(0,6),(0,9),(0,11),(1,3),(1,6),(1,9),(1,11),(2,4),(2,5),(2,7),(2,8),(2,10),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,7,4,2,1,12,11,8,6,5,3] => ([(0,1),(0,5),(0,6),(0,7),(0,9),(1,5),(1,6),(1,7),(1,9),(2,3),(2,4),(2,8),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,7,4,2,1,12,10,9,6,5,3] => ([(0,3),(0,4),(0,6),(0,7),(0,10),(1,2),(1,5),(1,8),(1,9),(1,11),(2,5),(2,8),(2,9),(2,11),(3,4),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,7,4,2,1,12,11,9,6,5,3] => ([(0,1),(0,5),(0,6),(0,7),(0,10),(1,5),(1,6),(1,7),(1,10),(2,3),(2,4),(2,8),(2,9),(2,11),(3,4),(3,8),(3,9),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,4,2,1,12,11,10,6,5,3] => ([(0,1),(0,2),(0,6),(0,7),(0,11),(1,2),(1,6),(1,7),(1,11),(2,6),(2,7),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(4,5),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,6,4,2,1,12,10,8,7,5,3] => ([(0,1),(0,3),(0,5),(0,9),(0,11),(1,3),(1,5),(1,9),(1,11),(2,4),(2,6),(2,7),(2,8),(2,10),(3,5),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,6,4,2,1,12,11,8,7,5,3] => ([(0,1),(0,5),(0,6),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,3),(2,4),(2,7),(2,10),(2,11),(3,4),(3,7),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,6,4,2,1,12,10,9,7,5,3] => ([(0,1),(0,3),(0,6),(0,8),(0,11),(1,3),(1,6),(1,8),(1,11),(2,4),(2,5),(2,7),(2,9),(2,10),(3,6),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,6,4,2,1,12,11,9,7,5,3] => ([(0,1),(0,5),(0,6),(0,8),(0,10),(1,5),(1,6),(1,8),(1,10),(2,3),(2,4),(2,7),(2,9),(2,11),(3,4),(3,7),(3,9),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,6,4,2,1,12,11,10,7,5,3] => ([(0,1),(0,2),(0,6),(0,8),(0,11),(1,2),(1,6),(1,8),(1,11),(2,6),(2,8),(2,11),(3,4),(3,5),(3,7),(3,9),(3,10),(4,5),(4,7),(4,9),(4,10),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,6,4,2,1,12,10,9,8,5,3] => ([(0,3),(0,4),(0,5),(0,9),(0,10),(1,2),(1,6),(1,7),(1,8),(1,11),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,6,4,2,1,12,11,9,8,5,3] => ([(0,1),(0,4),(0,7),(0,8),(0,10),(1,4),(1,7),(1,8),(1,10),(2,3),(2,5),(2,6),(2,9),(2,11),(3,5),(3,6),(3,9),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,6,4,2,1,12,11,10,8,5,3] => ([(0,1),(0,2),(0,5),(0,9),(0,11),(1,2),(1,5),(1,9),(1,11),(2,5),(2,9),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,10),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,4,2,1,12,11,10,9,5,3] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,5,4,2,1,12,10,8,7,6,3] => ([(0,3),(0,6),(0,7),(0,8),(0,10),(1,2),(1,4),(1,5),(1,9),(1,11),(2,4),(2,5),(2,9),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,5,4,2,1,12,11,8,7,6,3] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,10),(2,11),(3,4),(3,5),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,5,4,2,1,12,10,9,7,6,3] => ([(0,3),(0,4),(0,7),(0,8),(0,10),(1,2),(1,5),(1,6),(1,9),(1,11),(2,5),(2,6),(2,9),(2,11),(3,4),(3,7),(3,8),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,5,4,2,1,12,11,9,7,6,3] => ([(0,1),(0,4),(0,7),(0,8),(0,10),(1,4),(1,7),(1,8),(1,10),(2,3),(2,5),(2,6),(2,9),(2,11),(3,5),(3,6),(3,9),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,5,4,2,1,12,11,10,7,6,3] => ([(0,1),(0,2),(0,7),(0,8),(0,11),(1,2),(1,7),(1,8),(1,11),(2,7),(2,8),(2,11),(3,4),(3,5),(3,6),(3,9),(3,10),(4,5),(4,6),(4,9),(4,10),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,5,4,2,1,12,10,9,8,6,3] => ([(0,3),(0,4),(0,5),(0,8),(0,10),(1,2),(1,6),(1,7),(1,9),(1,11),(2,6),(2,7),(2,9),(2,11),(3,4),(3,5),(3,8),(3,10),(3,11),(4,5),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,5,4,2,1,12,11,9,8,6,3] => ([(0,1),(0,4),(0,5),(0,9),(0,10),(1,4),(1,5),(1,9),(1,10),(2,3),(2,6),(2,7),(2,8),(2,11),(3,6),(3,7),(3,8),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,5,4,2,1,12,11,10,8,6,3] => ([(0,1),(0,2),(0,5),(0,8),(0,11),(1,2),(1,5),(1,8),(1,11),(2,5),(2,8),(2,11),(3,4),(3,6),(3,7),(3,9),(3,10),(4,6),(4,7),(4,9),(4,10),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,5,4,2,1,12,11,10,9,6,3] => ([(0,1),(0,2),(0,3),(0,8),(0,11),(1,2),(1,3),(1,8),(1,11),(2,3),(2,8),(2,11),(3,8),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,5,4,2,1,12,10,9,8,7,3] => ([(0,3),(0,4),(0,5),(0,6),(0,10),(1,2),(1,7),(1,8),(1,9),(1,11),(2,7),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,6,5,4,2,1,12,11,9,8,7,3] => ([(0,1),(0,4),(0,5),(0,6),(0,11),(1,4),(1,5),(1,6),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,5,4,2,1,12,11,10,8,7,3] => ([(0,1),(0,2),(0,5),(0,6),(0,11),(1,2),(1,5),(1,6),(1,11),(2,5),(2,6),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,5,4,2,1,12,11,10,9,7,3] => ([(0,1),(0,2),(0,3),(0,6),(0,11),(1,2),(1,3),(1,6),(1,11),(2,3),(2,6),(2,11),(3,6),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,4,2,1,12,11,10,9,8,3] => ([(0,1),(0,2),(0,3),(0,4),(0,11),(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,7,3,2,1,12,10,8,6,5,4] => ([(0,1),(0,2),(0,6),(0,10),(0,11),(1,2),(1,6),(1,10),(1,11),(2,6),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,7,3,2,1,12,11,8,6,5,4] => ([(0,1),(0,2),(0,6),(0,10),(0,11),(1,2),(1,6),(1,10),(1,11),(2,6),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,7,3,2,1,12,10,9,6,5,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,7,3,2,1,12,11,9,6,5,4] => ([(0,1),(0,2),(0,6),(0,7),(0,11),(1,2),(1,6),(1,7),(1,11),(2,6),(2,7),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(4,5),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,3,2,1,12,11,10,6,5,4] => ([(0,4),(0,5),(0,9),(0,10),(0,11),(1,2),(1,3),(1,6),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,6,3,2,1,12,10,8,7,5,4] => ([(0,1),(0,2),(0,5),(0,10),(0,11),(1,2),(1,5),(1,10),(1,11),(2,5),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,6,3,2,1,12,11,8,7,5,4] => ([(0,1),(0,2),(0,5),(0,10),(0,11),(1,2),(1,5),(1,10),(1,11),(2,5),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,6,3,2,1,12,10,9,7,5,4] => ([(0,1),(0,2),(0,6),(0,8),(0,11),(1,2),(1,6),(1,8),(1,11),(2,6),(2,8),(2,11),(3,4),(3,5),(3,7),(3,9),(3,10),(4,5),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,6,3,2,1,12,11,9,7,5,4] => ([(0,1),(0,2),(0,6),(0,8),(0,11),(1,2),(1,6),(1,8),(1,11),(2,6),(2,8),(2,11),(3,4),(3,5),(3,7),(3,9),(3,10),(4,5),(4,7),(4,9),(4,10),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,6,3,2,1,12,11,10,7,5,4] => ([(0,1),(0,2),(0,7),(0,8),(0,9),(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,6,3,2,1,12,10,9,8,5,4] => ([(0,1),(0,2),(0,7),(0,8),(0,11),(1,2),(1,7),(1,8),(1,11),(2,7),(2,8),(2,11),(3,4),(3,5),(3,6),(3,9),(3,10),(4,5),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,6,3,2,1,12,11,9,8,5,4] => ([(0,1),(0,2),(0,7),(0,8),(0,11),(1,2),(1,7),(1,8),(1,11),(2,7),(2,8),(2,11),(3,4),(3,5),(3,6),(3,9),(3,10),(4,5),(4,6),(4,9),(4,10),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,6,3,2,1,12,11,10,8,5,4] => ([(0,1),(0,2),(0,7),(0,8),(0,9),(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,3,2,1,12,11,10,9,5,4] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,5,3,2,1,12,10,8,7,6,4] => ([(0,1),(0,2),(0,4),(0,10),(0,11),(1,2),(1,4),(1,10),(1,11),(2,4),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,5,3,2,1,12,11,8,7,6,4] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,10),(2,11),(3,4),(3,5),(3,10),(3,11),(4,5),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,5,3,2,1,12,10,9,7,6,4] => ([(0,1),(0,2),(0,4),(0,9),(0,11),(1,2),(1,4),(1,9),(1,11),(2,4),(2,9),(2,11),(3,5),(3,6),(3,7),(3,8),(3,10),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,5,3,2,1,12,11,9,7,6,4] => ([(0,1),(0,2),(0,5),(0,9),(0,11),(1,2),(1,5),(1,9),(1,11),(2,5),(2,9),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,10),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,5,3,2,1,12,11,10,7,6,4] => ([(0,1),(0,2),(0,7),(0,8),(0,9),(1,2),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,5,3,2,1,12,10,9,8,6,4] => ([(0,1),(0,2),(0,4),(0,8),(0,11),(1,2),(1,4),(1,8),(1,11),(2,4),(2,8),(2,11),(3,5),(3,6),(3,7),(3,9),(3,10),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,5,3,2,1,12,11,9,8,6,4] => ([(0,1),(0,2),(0,5),(0,8),(0,11),(1,2),(1,5),(1,8),(1,11),(2,5),(2,8),(2,11),(3,4),(3,6),(3,7),(3,9),(3,10),(4,6),(4,7),(4,9),(4,10),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,5,3,2,1,12,11,10,8,6,4] => ([(0,1),(0,2),(0,7),(0,8),(0,10),(1,2),(1,7),(1,8),(1,10),(2,7),(2,8),(2,10),(3,4),(3,5),(3,6),(3,9),(3,11),(4,5),(4,6),(4,9),(4,11),(5,6),(5,9),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,5,3,2,1,12,11,10,9,6,4] => ([(0,1),(0,2),(0,3),(0,8),(0,11),(1,2),(1,3),(1,8),(1,11),(2,3),(2,8),(2,11),(3,8),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,5,3,2,1,12,10,9,8,7,4] => ([(0,4),(0,5),(0,6),(0,7),(0,10),(1,2),(1,3),(1,8),(1,9),(1,11),(2,3),(2,8),(2,9),(2,11),(3,8),(3,9),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,6,5,3,2,1,12,11,9,8,7,4] => ([(0,1),(0,2),(0,5),(0,6),(0,11),(1,2),(1,5),(1,6),(1,11),(2,5),(2,6),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,5,3,2,1,12,11,10,8,7,4] => ([(0,1),(0,2),(0,6),(0,7),(0,11),(1,2),(1,6),(1,7),(1,11),(2,6),(2,7),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(4,5),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,7),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,5,3,2,1,12,11,10,9,7,4] => ([(0,1),(0,2),(0,3),(0,7),(0,11),(1,2),(1,3),(1,7),(1,11),(2,3),(2,7),(2,11),(3,7),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,3,2,1,12,11,10,9,8,4] => ([(0,1),(0,2),(0,3),(0,4),(0,11),(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,4,3,2,1,12,10,8,7,6,5] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,4,3,2,1,12,11,8,7,6,5] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,4,3,2,1,12,10,9,7,6,5] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,4,3,2,1,12,11,9,7,6,5] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,4,3,2,1,12,11,10,7,6,5] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,4,3,2,1,12,10,9,8,6,5] => ([(0,1),(0,2),(0,3),(0,8),(0,11),(1,2),(1,3),(1,8),(1,11),(2,3),(2,8),(2,11),(3,8),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,4,3,2,1,12,11,9,8,6,5] => ([(0,1),(0,2),(0,3),(0,8),(0,11),(1,2),(1,3),(1,8),(1,11),(2,3),(2,8),(2,11),(3,8),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,4,3,2,1,12,11,10,8,6,5] => ([(0,1),(0,2),(0,3),(0,8),(0,11),(1,2),(1,3),(1,8),(1,11),(2,3),(2,8),(2,11),(3,8),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,4,3,2,1,12,11,10,9,6,5] => ([(0,1),(0,2),(0,3),(0,9),(0,10),(1,2),(1,3),(1,9),(1,10),(2,3),(2,9),(2,10),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,4,3,2,1,12,10,9,8,7,5] => ([(0,1),(0,2),(0,3),(0,5),(0,11),(1,2),(1,3),(1,5),(1,11),(2,3),(2,5),(2,11),(3,5),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,6,4,3,2,1,12,11,9,8,7,5] => ([(0,1),(0,2),(0,3),(0,6),(0,11),(1,2),(1,3),(1,6),(1,11),(2,3),(2,6),(2,11),(3,6),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,4,3,2,1,12,11,10,8,7,5] => ([(0,1),(0,2),(0,3),(0,7),(0,11),(1,2),(1,3),(1,7),(1,11),(2,3),(2,7),(2,11),(3,7),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,4,3,2,1,12,11,10,9,7,5] => ([(0,1),(0,2),(0,3),(0,9),(0,10),(1,2),(1,3),(1,9),(1,10),(2,3),(2,9),(2,10),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,8),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,4,3,2,1,12,11,10,9,8,5] => ([(0,1),(0,2),(0,3),(0,4),(0,11),(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[11,5,4,3,2,1,12,10,9,8,7,6] => ([(0,1),(0,2),(0,3),(0,4),(0,11),(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,5,4,3,2,1,12,11,9,8,7,6] => ([(0,1),(0,2),(0,3),(0,4),(0,11),(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,5,4,3,2,1,12,11,10,8,7,6] => ([(0,1),(0,2),(0,3),(0,4),(0,11),(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,5,4,3,2,1,12,11,10,9,7,6] => ([(0,1),(0,2),(0,3),(0,4),(0,11),(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[7,5,4,3,2,1,12,11,10,9,8,6] => ([(0,1),(0,2),(0,3),(0,4),(0,11),(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10),(10,11)],12)
[7,1,8,2,9,3,10,4,11,5,12,6] => ([(0,11),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[9,10,11,12,7,8,5,6,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,8,9,10,5,6,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,10,11,8,9,12,5,6,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,8,9,10,11,12,5,6,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,5,6,7,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,5,6,7,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,5,8,9,6,7,10,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,10,11,8,9,6,7,12,3,4,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,8,9,10,11,6,7,12,3,4,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,5,6,7,8,9,10,3,4,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,10,11,6,7,8,9,12,3,4,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,9,10,7,8,11,12,3,4,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,7,8,9,10,11,12,3,4,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,7,8,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,7,8,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,8,9,10,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,10,11,8,9,12,3,4,5,6,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,8,9,10,11,12,3,4,5,6,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,3,6,7,4,5,8,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,3,6,7,4,5,8,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,3,8,9,6,7,4,5,10,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,11,8,9,6,7,4,5,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,8,9,10,11,6,7,4,5,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,3,6,7,8,9,4,5,10,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,11,6,7,8,9,4,5,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,9,10,7,8,11,4,5,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,7,8,9,10,11,4,5,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,3,4,5,6,7,8,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,3,4,5,6,7,8,1,2] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,3,8,9,4,5,6,7,10,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,11,8,9,4,5,6,7,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,8,9,10,11,4,5,6,7,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,3,4,7,8,5,6,9,10,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,11,4,7,8,5,6,9,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,9,10,7,8,5,6,11,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,7,8,9,10,5,6,11,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,3,4,5,6,7,8,9,10,1,2] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,11,4,5,6,7,8,9,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,9,10,5,6,7,8,11,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,5,8,9,6,7,10,11,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,5,6,7,8,9,10,11,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,8,9,10,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,10,11,8,9,12,5,6,1,2,3,4] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,8,9,10,11,12,5,6,1,2,3,4] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,5,8,9,6,7,10,1,2,3,4] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,10,11,8,9,6,7,12,1,2,3,4] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[5,8,9,10,11,6,7,12,1,2,3,4] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,5,6,7,8,9,10,1,2,3,4] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,10,11,6,7,8,9,12,1,2,3,4] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[5,6,9,10,7,8,11,12,1,2,3,4] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[5,6,7,8,9,10,11,12,1,2,3,4] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,9,10,7,8,1,4,5,2,3,6] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,7,8,1,4,5,2,3,6] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,8,9,10,1,4,5,2,3,6] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,10,11,8,9,12,1,4,5,2,3,6] => ([(0,2),(0,3),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,8,9,10,11,12,1,4,5,2,3,6] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,1,6,7,4,5,2,3,8] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,1,6,7,4,5,2,3,8] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,1,8,9,6,7,4,5,2,3,10] => ([(0,10),(0,11),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,8,9,6,7,4,5,2,3,12] => ([(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,10,11,6,7,4,5,2,3,12] => ([(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,1,6,7,8,9,4,5,2,3,10] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,6,7,8,9,4,5,2,3,12] => ([(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,6,9,10,7,8,11,4,5,2,3,12] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,6,7,8,9,10,11,4,5,2,3,12] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,1,4,5,6,7,2,3,8] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,1,4,5,6,7,2,3,8] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,1,8,9,4,5,6,7,2,3,10] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,8,9,4,5,6,7,2,3,12] => ([(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,10,11,4,5,6,7,2,3,12] => ([(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,1,4,7,8,5,6,9,2,3,10] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,4,7,8,5,6,9,2,3,12] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,9,10,7,8,5,6,11,2,3,12] => ([(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,7,8,9,10,5,6,11,2,3,12] => ([(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,1,4,5,6,7,8,9,2,3,10] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,4,5,6,7,8,9,2,3,12] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,9,10,5,6,7,8,11,2,3,12] => ([(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,5,8,9,6,7,10,11,2,3,12] => ([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,5,6,7,8,9,10,11,2,3,12] => ([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,7,8,9,10,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,10,11,8,9,12,1,2,3,4,5,6] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,1,6,7,2,3,4,5,8] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,1,6,7,2,3,4,5,8] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,1,8,9,6,7,2,3,4,5,10] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,8,9,6,7,2,3,4,5,12] => ([(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,10,11,6,7,2,3,4,5,12] => ([(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,1,6,7,8,9,2,3,4,5,10] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,6,7,8,9,2,3,4,5,12] => ([(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,6,9,10,7,8,11,2,3,4,5,12] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[1,6,7,8,9,10,11,2,3,4,5,12] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,9,10,1,2,5,6,3,4,7,8] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,1,2,5,6,3,4,7,8] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,1,8,9,2,5,6,3,4,7,10] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,8,9,2,5,6,3,4,7,12] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,10,11,2,5,6,3,4,7,12] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,1,2,7,8,5,6,3,4,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,2,7,8,5,6,3,4,9,12] => ([(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,9,10,7,8,5,6,3,4,11,12] => ([(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,7,8,9,10,5,6,3,4,11,12] => ([(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,1,2,5,6,7,8,3,4,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,2,5,6,7,8,3,4,9,12] => ([(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,9,10,5,6,7,8,3,4,11,12] => ([(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,5,8,9,6,7,10,3,4,11,12] => ([(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,5,6,7,8,9,10,3,4,11,12] => ([(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,9,10,1,2,3,4,5,6,7,8] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,11,12,1,2,3,4,5,6,7,8] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,1,8,9,2,3,4,5,6,7,10] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,8,9,2,3,4,5,6,7,12] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,10,11,2,3,4,5,6,7,12] => ([(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,1,2,7,8,3,4,5,6,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,2,7,8,3,4,5,6,9,12] => ([(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,9,10,7,8,3,4,5,6,11,12] => ([(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,7,8,9,10,3,4,5,6,11,12] => ([(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[11,12,1,2,3,6,7,4,5,8,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,2,3,6,7,4,5,8,9,12] => ([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,9,10,3,6,7,4,5,8,11,12] => ([(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,3,8,9,6,7,4,5,10,11,12] => ([(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,3,6,7,8,9,4,5,10,11,12] => ([(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,12,1,2,3,4,5,6,7,8,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,10,11,2,3,4,5,6,7,8,9,12] => ([(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,9,10,3,4,5,6,7,8,11,12] => ([(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,3,8,9,4,5,6,7,10,11,12] => ([(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,2,3,4,7,8,5,6,9,10,11,12] => ([(8,10),(8,11),(9,10),(9,11)],12)
[1,2,3,4,5,6,7,8,9,10,11,12] => ([],12)
[11,1,12,10,9,8,7,6,5,4,3,2] => ([(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,12,11,10,9,8,7,6,5,4,1,3] => ([(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,1,2,3,4,5,6,7,8,9,12,10] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12)
[2,12,1,3,4,5,6,7,8,9,10,11] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12)
[12,1,3,2,5,4,7,6,9,8,11,10] => ([(0,11),(1,10),(1,11),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[12,1,2,3,4,5,7,8,9,10,11,6] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,4,6,8,10,1,3,5,7,9] => ([(0,9),(0,10),(0,11),(1,8),(1,10),(1,11),(2,7),(2,8),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,2,4,6,8,12,1,3,5,7,11] => ([(0,6),(1,9),(1,10),(1,11),(2,6),(2,8),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,12,9,11,4,6,8,10,1,3,5,7] => ([(0,9),(1,5),(1,7),(1,8),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,2,4,6,8,1,3,5,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,2,4,6,10,12,1,3,5,9,11] => ([(0,7),(1,4),(1,7),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,7,11,2,4,6,10,1,3,5,9] => ([(0,4),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,10,7,9,4,6,8,12,1,3,5,11] => ([(0,11),(1,2),(2,7),(2,9),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[2,4,12,7,9,11,6,8,10,1,3,5] => ([(0,11),(1,9),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(9,10),(10,11)],12)
[12,11,2,10,7,9,4,6,8,1,3,5] => ([(0,8),(0,10),(0,11),(1,2),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,8,7,2,4,6,12,1,3,5,11] => ([(0,1),(1,4),(1,6),(1,7),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,2,8,7,11,4,6,10,1,3,5] => ([(0,9),(0,10),(0,11),(1,3),(1,4),(1,8),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,12,7,11,10,9,2,4,6,1,3,5] => ([(0,2),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,7,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,2,4,8,10,12,1,3,7,9,11] => ([(0,9),(1,6),(1,9),(2,3),(2,6),(2,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,10),(5,11),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[6,12,5,11,2,4,8,10,1,3,7,9] => ([(0,7),(0,10),(0,11),(1,4),(1,7),(1,10),(1,11),(2,3),(2,5),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,10,5,9,2,4,8,12,1,3,7,11] => ([(0,2),(1,2),(1,5),(1,9),(1,11),(2,8),(2,10),(3,4),(3,6),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,12,9,11,2,4,8,10,1,3,7] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,5),(1,7),(1,9),(1,11),(2,3),(2,4),(2,6),(2,8),(2,10),(3,4),(3,6),(3,8),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,6,10,5,9,2,4,8,1,3,7] => ([(0,3),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,8,5,7,4,6,10,12,1,3,9,11] => ([(0,6),(1,11),(2,3),(2,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,8,12,5,7,11,4,6,10,1,3,9] => ([(0,11),(1,3),(1,8),(1,10),(2,6),(2,7),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[10,5,2,4,7,9,6,8,12,1,3,11] => ([(0,2),(1,8),(1,10),(1,11),(2,9),(2,10),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,5,7,2,4,6,9,11,8,10,1,3] => ([(0,8),(0,9),(0,10),(0,11),(1,5),(1,9),(1,10),(1,11),(2,4),(2,9),(2,10),(2,11),(3,6),(3,8),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,5,11,10,2,4,7,9,6,8,1,3] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,4),(1,7),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,2,8,5,7,4,6,12,1,3,11] => ([(0,2),(1,9),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,9,8,2,4,7,11,6,10,1,3] => ([(0,3),(0,9),(0,10),(0,11),(1,2),(1,7),(1,8),(1,10),(1,11),(2,4),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,12,5,11,8,10,7,9,4,6,1,3] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[12,11,10,9,2,8,5,7,4,6,1,3] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,5,2,4,10,12,1,3,9,11] => ([(0,3),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,7,6,12,5,11,2,4,10,1,3,9] => ([(0,1),(0,6),(0,10),(1,6),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,11),(4,5),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[10,7,2,6,5,9,4,8,12,1,3,11] => ([(0,2),(1,7),(1,10),(1,11),(2,9),(2,10),(3,4),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[7,6,12,5,2,4,9,11,8,10,1,3] => ([(0,4),(0,9),(0,10),(0,11),(1,3),(1,9),(1,10),(1,11),(2,5),(2,6),(2,8),(2,9),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,12,7,11,6,10,5,9,4,8,1,3] => ([(0,11),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,7),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[6,10,5,9,8,7,2,4,12,1,3,11] => ([(0,1),(1,10),(1,11),(2,3),(2,7),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,12,6,9,5,8,7,11,4,10,1,3] => ([(0,11),(1,3),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[6,8,12,5,7,11,10,9,2,4,1,3] => ([(0,6),(0,8),(0,9),(0,10),(0,11),(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(10,11)],12)
[12,11,6,10,5,9,8,7,2,4,1,3] => ([(0,1),(0,5),(0,6),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,8,7,6,5,2,4,12,1,3,11] => ([(0,1),(1,4),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,8,7,2,6,5,11,4,10,1,3] => ([(0,2),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,10),(1,11),(2,5),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,7,6,12,5,11,10,9,2,4,1,3] => ([(0,1),(0,2),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(10,11)],12)
[7,12,6,11,10,9,8,5,2,4,1,3] => ([(0,1),(0,6),(0,7),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,2,6,8,10,12,1,5,7,9,11] => ([(0,10),(1,9),(1,11),(2,8),(2,10),(3,4),(3,5),(3,11),(4,5),(4,11),(5,11),(6,7),(6,9),(6,11),(7,8),(7,10),(8,9),(8,11),(9,10),(10,11)],12)
[4,12,3,11,2,6,8,10,1,5,7,9] => ([(0,4),(0,7),(0,9),(1,8),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,5),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,10,3,9,2,6,8,12,1,5,7,11] => ([(0,5),(1,4),(1,8),(1,11),(2,7),(2,9),(2,10),(2,11),(3,5),(3,6),(3,9),(3,10),(4,8),(4,10),(4,11),(5,7),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,12,9,11,2,6,8,10,1,5,7] => ([(0,1),(0,7),(0,11),(1,7),(1,11),(2,3),(2,5),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,4,10,3,9,2,6,8,1,5,7] => ([(0,4),(0,6),(0,8),(0,10),(0,11),(1,5),(1,7),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,8,3,7,2,6,10,12,1,5,9,11] => ([(0,6),(1,3),(1,6),(2,5),(2,9),(2,11),(3,7),(3,11),(4,7),(4,8),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,11),(7,8),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,8,12,3,7,11,2,6,10,1,5,9] => ([(0,3),(0,9),(0,11),(1,2),(1,8),(1,10),(2,6),(2,8),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,10,7,9,2,6,8,12,1,5,11] => ([(0,3),(1,2),(1,7),(1,11),(2,7),(2,11),(3,9),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[4,3,7,9,12,11,2,6,8,10,1,5] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(10,11)],12)
[12,4,11,3,10,7,9,2,6,8,1,5] => ([(0,1),(0,7),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,4,8,3,7,2,6,12,1,5,11] => ([(0,1),(1,5),(1,11),(2,4),(2,7),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,4,9,3,8,7,11,2,6,10,1,5] => ([(0,3),(0,7),(0,10),(0,11),(1,2),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,8,12,11,10,3,7,9,2,6,1,5] => ([(0,4),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,10),(1,11),(2,3),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,2,5,4,8,10,12,1,7,9,11] => ([(0,10),(1,7),(1,10),(2,6),(2,11),(3,8),(3,11),(4,5),(4,9),(4,11),(5,9),(5,11),(6,7),(6,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[3,6,12,2,5,11,4,8,10,1,7,9] => ([(0,6),(0,11),(1,8),(1,9),(1,10),(2,3),(2,8),(2,9),(2,10),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,7),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,10,2,5,9,4,8,12,1,7,11] => ([(0,2),(1,7),(1,11),(2,6),(2,11),(3,4),(3,7),(3,8),(3,11),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,12,6,2,5,9,11,4,8,10,1,7] => ([(0,3),(0,11),(1,7),(1,8),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,7),(3,10),(3,11),(4,5),(4,6),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,3,6,10,2,5,9,4,8,1,7] => ([(0,5),(0,9),(0,10),(0,11),(1,4),(1,7),(1,8),(1,10),(1,11),(2,3),(2,5),(2,6),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,5,8,2,4,7,6,10,12,1,9,11] => ([(0,8),(1,9),(1,11),(2,3),(2,8),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,10),(6,11),(7,9),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[3,5,8,12,2,4,7,11,6,10,1,9] => ([(0,9),(0,11),(1,4),(1,9),(1,11),(2,5),(2,8),(2,10),(3,6),(3,7),(3,10),(3,11),(4,7),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,5,7,10,2,4,6,9,8,12,1,11] => ([(0,2),(1,9),(1,11),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[3,5,7,9,12,2,4,6,8,11,10,1] => ([(0,9),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,9),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,3,5,7,10,2,4,6,9,8,1] => ([(0,7),(0,9),(0,10),(0,11),(1,2),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,3,5,8,2,4,7,6,12,1,11] => ([(0,1),(1,11),(2,7),(2,9),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,3,5,7,12,2,4,6,11,10,1] => ([(0,1),(0,7),(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,5,12,11,8,10,2,4,7,9,6,1] => ([(0,7),(0,11),(1,4),(1,7),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,3,5,8,2,4,7,6,1] => ([(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,3,6,2,5,4,10,12,1,9,11] => ([(0,3),(1,2),(1,11),(2,3),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,3,6,12,2,5,11,4,10,1,9] => ([(0,2),(0,3),(0,10),(1,6),(1,8),(1,9),(1,11),(2,3),(2,10),(2,11),(3,7),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[7,6,3,5,10,2,4,9,8,12,1,11] => ([(0,1),(1,11),(2,3),(2,7),(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,3,5,9,12,2,4,8,11,10,1] => ([(0,4),(0,9),(0,11),(1,2),(1,9),(1,11),(2,9),(2,11),(3,7),(3,8),(3,10),(3,11),(4,6),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,12,6,11,3,5,10,2,4,9,8,1] => ([(0,1),(0,7),(0,9),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,10,9,8,2,5,7,4,12,1,11] => ([(0,2),(1,6),(1,11),(2,11),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,9,6,8,5,7,12,2,4,11,10,1] => ([(0,10),(0,11),(1,2),(1,5),(1,11),(2,5),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,12,6,8,11,10,5,7,9,4,1] => ([(0,1),(0,11),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,3,6,10,9,8,2,5,7,4,1] => ([(0,4),(0,9),(0,10),(0,11),(1,3),(1,4),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,8,7,3,6,2,5,4,12,1,11] => ([(0,1),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,6,3,5,12,2,4,11,10,1] => ([(0,1),(0,2),(0,11),(1,2),(1,11),(2,5),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,3,6,12,11,10,2,5,9,4,1] => ([(0,6),(0,7),(0,9),(0,11),(1,3),(1,4),(1,5),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[3,12,7,11,10,9,6,8,2,5,4,1] => ([(0,9),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,7,3,6,2,5,4,1] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,4,3,2,8,10,12,1,7,9,11] => ([(0,5),(1,4),(1,11),(2,3),(2,5),(3,4),(3,11),(4,5),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,4,12,3,11,2,8,10,1,7,9] => ([(0,6),(0,9),(0,10),(1,2),(1,6),(1,9),(1,10),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,11),(4,5),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,4,10,3,9,2,8,12,1,7,11] => ([(0,1),(1,3),(1,11),(2,3),(2,7),(2,9),(2,11),(3,7),(3,9),(4,5),(4,6),(4,8),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,12,5,4,3,9,11,2,8,10,1,7] => ([(0,4),(0,8),(0,10),(0,11),(1,2),(1,4),(1,8),(1,10),(1,11),(2,4),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,9),(3,10),(4,8),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,8,2,7,6,10,12,1,9,11] => ([(0,5),(1,2),(1,5),(2,11),(3,4),(3,9),(3,11),(4,9),(4,11),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,8,12,2,7,11,6,10,1,9] => ([(0,6),(0,8),(0,10),(1,2),(1,3),(1,9),(1,11),(2,3),(2,9),(2,11),(3,9),(3,11),(4,5),(4,7),(4,10),(4,11),(5,7),(5,9),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,7,10,2,6,9,8,12,1,11] => ([(0,1),(1,11),(2,5),(2,10),(2,11),(3,4),(3,9),(3,11),(4,9),(4,11),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,7,9,12,2,6,8,11,10,1] => ([(0,8),(0,10),(0,11),(1,7),(1,9),(1,11),(2,3),(2,9),(2,11),(3,9),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[5,12,4,11,3,7,10,2,6,9,8,1] => ([(0,5),(0,6),(0,8),(0,11),(1,4),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,10,4,9,3,8,2,7,6,12,1,11] => ([(0,1),(1,11),(2,5),(2,7),(2,9),(2,11),(3,4),(3,6),(3,8),(3,10),(3,11),(4,6),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,9,4,8,3,7,12,2,6,11,10,1] => ([(0,1),(0,6),(0,11),(1,6),(1,11),(2,5),(2,8),(2,10),(2,11),(3,4),(3,6),(3,7),(3,9),(3,11),(4,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,5,4,3,8,10,2,7,9,6,1] => ([(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,3),(1,8),(1,9),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,5,10,4,9,3,8,2,7,6,1] => ([(0,3),(0,5),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,8,3,7,6,5,2,10,12,1,9,11] => ([(0,4),(1,2),(1,4),(2,11),(3,5),(3,10),(3,11),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,8,3,7,6,12,5,11,2,10,1,9] => ([(0,2),(0,6),(0,9),(1,3),(1,10),(1,11),(2,6),(2,9),(2,11),(3,8),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,7,3,6,5,10,2,9,8,12,1,11] => ([(0,1),(1,11),(2,7),(2,10),(2,11),(3,4),(3,8),(3,11),(4,8),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,7,3,6,5,9,12,2,8,11,10,1] => ([(0,3),(0,10),(0,11),(1,2),(1,8),(1,11),(2,8),(2,11),(3,8),(3,11),(4,5),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,7,12,3,6,11,5,10,2,9,8,1] => ([(0,5),(0,10),(0,11),(1,2),(1,5),(1,6),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,11),(4,7),(4,8),(4,9),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,10,3,5,9,8,7,2,12,1,11] => ([(0,1),(1,11),(2,8),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,9,3,5,8,7,12,2,11,10,1] => ([(0,8),(0,10),(0,11),(1,2),(1,7),(1,11),(2,7),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,6,8,12,3,5,7,11,10,9,2,1] => ([(0,8),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,6),(2,8),(2,10),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,4,6,10,3,5,9,8,7,2,1] => ([(0,6),(0,8),(0,9),(0,10),(0,11),(1,2),(1,6),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,4,8,3,7,6,5,2,12,1,11] => ([(0,1),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,4,7,3,6,5,12,2,11,10,1] => ([(0,1),(0,2),(0,11),(1,2),(1,11),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,4,6,12,3,5,11,10,9,2,1] => ([(0,1),(0,2),(0,6),(0,10),(0,11),(1,2),(1,6),(1,10),(1,11),(2,6),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,7,12,11,10,3,6,9,8,5,2,1] => ([(0,5),(0,10),(0,11),(1,4),(1,5),(1,9),(1,10),(1,11),(2,3),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,4,8,3,7,6,5,2,1] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,5,4,3,2,10,12,1,9,11] => ([(0,3),(1,2),(1,11),(2,3),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,5,4,12,3,11,2,10,1,9] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(1,11),(2,3),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,4,3,10,2,9,8,12,1,11] => ([(0,1),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,4,3,9,12,2,8,11,10,1] => ([(0,3),(0,10),(0,11),(1,2),(1,4),(1,11),(2,4),(2,11),(3,4),(3,11),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,12,4,11,3,10,2,9,8,1] => ([(0,1),(0,5),(0,7),(0,9),(0,11),(1,5),(1,7),(1,9),(1,11),(2,3),(2,4),(2,6),(2,8),(2,10),(2,11),(3,4),(3,6),(3,8),(3,10),(3,11),(4,6),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,4,10,3,9,8,7,2,12,1,11] => ([(0,1),(1,11),(2,3),(2,4),(2,9),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,4,9,3,8,7,12,2,11,10,1] => ([(0,1),(0,4),(0,11),(1,4),(1,11),(2,3),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,4,8,12,3,7,11,10,9,2,1] => ([(0,1),(0,9),(0,10),(0,11),(1,8),(1,10),(1,11),(2,3),(2,4),(2,8),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,12,5,11,4,10,3,9,8,7,2,1] => ([(0,1),(0,5),(0,7),(0,10),(0,11),(1,5),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,10,4,9,8,7,6,3,2,12,1,11] => ([(0,1),(1,11),(2,3),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,9,4,8,7,6,3,12,2,11,10,1] => ([(0,1),(0,3),(0,11),(1,3),(1,11),(2,4),(2,9),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,8,4,7,6,12,3,11,10,9,2,1] => ([(0,6),(0,9),(0,10),(0,11),(1,2),(1,3),(1,7),(1,10),(1,11),(2,3),(2,7),(2,10),(2,11),(3,7),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,7,12,4,6,11,10,9,8,3,2,1] => ([(0,3),(0,9),(0,10),(0,11),(1,2),(1,8),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,5,10,4,9,8,7,6,3,2,1] => ([(0,1),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,8,7,6,5,4,3,2,12,1,11] => ([(0,1),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,6,5,4,3,12,2,11,10,1] => ([(0,1),(0,2),(0,11),(1,2),(1,11),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,6,5,4,12,3,11,10,9,2,1] => ([(0,1),(0,2),(0,3),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,12,4,11,10,9,8,3,2,1] => ([(0,1),(0,2),(0,7),(0,9),(0,10),(0,11),(1,2),(1,7),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,12,5,11,10,9,8,7,4,3,2,1] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,7,6,5,4,3,2,1,11] => ([(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,3,4,5,6,7,8,9,10,1,12,2] => ([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[2,12,4,5,6,7,8,9,10,11,1,3] => ([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[3,1,2,4,5,6,7,8,9,10,11,12] => ([(9,11),(10,11)],12)
[2,1,4,3,6,5,8,7,11,12,9,10] => ([(0,7),(1,6),(2,5),(3,4),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,6,5,9,10,7,8,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,6,5,9,11,7,12,8,10] => ([(0,5),(1,4),(2,3),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(10,11)],12)
[2,1,4,3,6,5,10,11,12,7,8,9] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[2,1,4,3,7,8,5,6,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,7,8,5,6,11,12,9,10] => ([(0,3),(1,2),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(9,10),(9,11)],12)
[2,1,4,3,7,9,5,10,6,8,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(10,11)],12)
[2,1,4,3,7,9,5,11,6,12,8,10] => ([(0,3),(1,2),(4,7),(4,11),(5,6),(5,8),(6,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,4,3,7,10,5,11,12,6,8,9] => ([(0,3),(1,2),(4,5),(4,11),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,1,4,3,8,9,10,5,6,7,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[2,1,4,3,8,9,11,5,6,12,7,10] => ([(0,3),(1,2),(4,5),(4,11),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,1,4,3,8,10,11,5,12,6,7,9] => ([(0,3),(1,2),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,9,10,11,12,5,6,7,8] => ([(0,3),(1,2),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[2,1,5,6,3,4,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,5,6,3,4,8,7,11,12,9,10] => ([(0,3),(1,2),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(9,10),(9,11)],12)
[2,1,5,6,3,4,9,10,7,8,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(9,10),(9,11)],12)
[2,1,5,6,3,4,9,11,7,12,8,10] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(10,11)],12)
[2,1,5,6,3,4,10,11,12,7,8,9] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[2,1,5,7,3,8,4,6,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(10,11)],12)
[2,1,5,7,3,8,4,6,11,12,9,10] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(10,11)],12)
[2,1,5,7,3,9,4,10,6,8,12,11] => ([(0,3),(1,2),(4,7),(4,11),(5,6),(5,8),(6,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,5,7,3,9,4,11,6,12,8,10] => ([(0,1),(2,5),(2,9),(3,4),(3,8),(4,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(9,11)],12)
[2,1,5,7,3,10,4,11,12,6,8,9] => ([(0,1),(2,3),(2,9),(3,8),(4,6),(4,7),(4,10),(5,6),(5,7),(5,10),(6,11),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,5,8,3,9,10,4,6,7,12,11] => ([(0,3),(1,2),(4,5),(4,11),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,1,5,8,3,9,11,4,6,12,7,10] => ([(0,1),(2,5),(2,9),(3,4),(3,8),(4,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,5,8,3,10,11,4,12,6,7,9] => ([(0,1),(2,3),(2,11),(3,10),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,1,5,9,3,10,11,12,4,6,7,8] => ([(0,1),(2,3),(2,11),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,6,7,8,3,4,5,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[2,1,6,7,8,3,4,5,11,12,9,10] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[2,1,6,7,9,3,4,10,5,8,12,11] => ([(0,3),(1,2),(4,5),(4,11),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,1,6,7,9,3,4,11,5,12,8,10] => ([(0,1),(2,3),(2,9),(3,8),(4,6),(4,7),(4,10),(5,6),(5,7),(5,10),(6,11),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,6,7,10,3,4,11,12,5,8,9] => ([(0,1),(2,8),(2,9),(2,11),(3,6),(3,7),(3,11),(4,6),(4,7),(4,11),(5,8),(5,9),(5,11),(6,10),(7,10),(8,10),(9,10),(10,11)],12)
[2,1,6,8,9,3,10,4,5,7,12,11] => ([(0,3),(1,2),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,6,8,9,3,11,4,5,12,7,10] => ([(0,1),(2,3),(2,11),(3,10),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[2,1,6,8,10,3,11,4,12,5,7,9] => ([(0,1),(2,5),(2,9),(2,11),(3,4),(3,8),(3,11),(4,6),(4,10),(5,7),(5,10),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(9,10),(10,11)],12)
[2,1,6,9,10,3,11,12,4,5,7,8] => ([(0,1),(2,3),(2,10),(2,11),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,7,8,9,10,3,4,5,6,12,11] => ([(0,3),(1,2),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[2,1,7,8,9,11,3,4,5,12,6,10] => ([(0,1),(2,3),(2,11),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,7,8,10,11,3,4,12,5,6,9] => ([(0,1),(2,3),(2,10),(2,11),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,7,9,10,11,3,12,4,5,6,8] => ([(0,1),(2,5),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[2,1,8,9,10,11,12,3,4,5,6,7] => ([(0,1),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[3,4,1,2,6,5,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,1,2,6,5,8,7,11,12,9,10] => ([(0,3),(1,2),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(9,10),(9,11)],12)
[3,4,1,2,6,5,9,10,7,8,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(9,10),(9,11)],12)
[3,4,1,2,6,5,9,11,7,12,8,10] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(10,11)],12)
[3,4,1,2,6,5,10,11,12,7,8,9] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[3,4,1,2,7,8,5,6,10,9,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,7),(5,8),(6,7),(6,8),(9,10),(9,11)],12)
[3,4,1,2,7,8,5,6,11,12,9,10] => ([(0,10),(0,11),(1,7),(1,8),(2,4),(2,5),(3,4),(3,5),(6,7),(6,8),(9,10),(9,11)],12)
[3,4,1,2,7,9,5,10,6,8,12,11] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(10,11)],12)
[3,4,1,2,7,9,5,11,6,12,8,10] => ([(0,2),(0,3),(1,2),(1,3),(4,7),(4,11),(5,6),(5,8),(6,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,4,1,2,7,10,5,11,12,6,8,9] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,11),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[3,4,1,2,8,9,10,5,6,7,12,11] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[3,4,1,2,8,9,11,5,6,12,7,10] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,11),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[3,4,1,2,8,10,11,5,12,6,7,9] => ([(0,2),(0,3),(1,2),(1,3),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,4,1,2,9,10,11,12,5,6,7,8] => ([(0,2),(0,3),(1,2),(1,3),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[3,5,1,6,2,4,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(10,11)],12)
[3,5,1,6,2,4,8,7,11,12,9,10] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(10,11)],12)
[3,5,1,6,2,4,9,10,7,8,12,11] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,11),(7,8),(7,11),(8,10),(9,10),(10,11)],12)
[3,5,1,6,2,4,9,11,7,12,8,10] => ([(0,3),(0,10),(1,2),(1,10),(2,9),(3,9),(4,7),(4,11),(5,6),(5,11),(6,8),(7,8),(8,11),(9,10)],12)
[3,5,1,6,2,4,10,11,12,7,8,9] => ([(0,3),(0,11),(1,2),(1,11),(2,10),(3,10),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(10,11)],12)
[3,5,1,7,2,8,4,6,10,9,12,11] => ([(0,3),(1,2),(4,7),(4,11),(5,6),(5,8),(6,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,5,1,7,2,8,4,6,11,12,9,10] => ([(0,2),(0,3),(1,2),(1,3),(4,7),(4,11),(5,6),(5,8),(6,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,5,1,7,2,9,4,10,6,8,12,11] => ([(0,1),(2,5),(2,9),(3,4),(3,8),(4,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(9,11)],12)
[3,5,1,7,2,9,4,11,6,12,8,10] => ([(0,3),(0,11),(1,2),(1,8),(2,9),(3,10),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(6,10),(7,11),(8,9),(10,11)],12)
[3,5,1,7,2,10,4,11,12,6,8,9] => ([(0,1),(0,9),(1,8),(2,4),(2,5),(2,10),(3,4),(3,5),(3,10),(4,11),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(10,11)],12)
[3,5,1,8,2,9,10,4,6,7,12,11] => ([(0,1),(2,3),(2,9),(3,8),(4,6),(4,7),(4,10),(5,6),(5,7),(5,10),(6,11),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,5,1,8,2,9,11,4,6,12,7,10] => ([(0,1),(0,9),(1,8),(2,3),(2,4),(3,5),(4,5),(4,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,5,1,8,2,10,11,4,12,6,7,9] => ([(0,1),(0,5),(1,4),(2,3),(2,8),(2,9),(3,10),(3,11),(4,5),(4,6),(5,7),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,5,1,9,2,10,11,12,4,6,7,8] => ([(0,1),(0,3),(1,2),(2,3),(2,10),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[3,6,1,7,8,2,4,5,10,9,12,11] => ([(0,3),(1,2),(4,5),(4,11),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[3,6,1,7,8,2,4,5,11,12,9,10] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,11),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[3,6,1,7,9,2,4,10,5,8,12,11] => ([(0,1),(2,5),(2,9),(3,4),(3,8),(4,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,6,1,7,9,2,4,11,5,12,8,10] => ([(0,1),(0,9),(1,8),(2,3),(2,4),(3,5),(4,5),(4,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,6,1,7,10,2,4,11,12,5,8,9] => ([(0,1),(0,9),(1,8),(2,4),(2,5),(2,10),(3,4),(3,5),(3,10),(4,11),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,6,1,8,9,2,10,4,5,7,12,11] => ([(0,1),(2,3),(2,11),(3,10),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[3,6,1,8,9,2,11,4,5,12,7,10] => ([(0,3),(0,11),(1,2),(1,8),(2,9),(3,10),(4,6),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(10,11)],12)
[3,6,1,8,10,2,11,4,12,5,7,9] => ([(0,1),(0,9),(1,8),(2,3),(2,7),(2,10),(3,6),(3,11),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,10),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,6,1,9,10,2,11,12,4,5,7,8] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[3,7,1,8,9,10,2,4,5,6,12,11] => ([(0,1),(2,3),(2,11),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[3,7,1,8,9,11,2,4,5,12,6,10] => ([(0,3),(0,11),(1,2),(1,8),(2,9),(3,10),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,7,1,8,10,11,2,4,12,5,6,9] => ([(0,1),(0,11),(1,10),(2,3),(2,6),(2,7),(3,8),(3,9),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[3,7,1,9,10,11,2,12,4,5,6,8] => ([(0,1),(0,11),(1,10),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[3,8,1,9,10,11,12,2,4,5,6,7] => ([(0,1),(0,11),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[4,5,6,1,2,3,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,5,6,1,2,3,8,7,11,12,9,10] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,5,6,1,2,3,9,10,7,8,12,11] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,5,6,1,2,3,9,11,7,12,8,10] => ([(0,3),(0,11),(1,2),(1,11),(2,10),(3,10),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(10,11)],12)
[4,5,6,1,2,3,10,11,12,7,8,9] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[4,5,7,1,2,8,3,6,10,9,12,11] => ([(0,3),(1,2),(4,5),(4,11),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,5,7,1,2,8,3,6,11,12,9,10] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,11),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,5,7,1,2,9,3,10,6,8,12,11] => ([(0,1),(2,3),(2,9),(3,8),(4,6),(4,7),(4,10),(5,6),(5,7),(5,10),(6,11),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[4,5,7,1,2,9,3,11,6,12,8,10] => ([(0,1),(0,9),(1,8),(2,4),(2,5),(2,10),(3,4),(3,5),(3,10),(4,11),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(10,11)],12)
[4,5,7,1,2,10,3,11,12,6,8,9] => ([(0,2),(0,3),(0,10),(1,2),(1,3),(1,10),(2,9),(3,9),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(7,8),(8,10),(8,11),(9,10),(9,11)],12)
[4,5,8,1,2,9,10,3,6,7,12,11] => ([(0,1),(2,8),(2,9),(2,11),(3,6),(3,7),(3,11),(4,6),(4,7),(4,11),(5,8),(5,9),(5,11),(6,10),(7,10),(8,10),(9,10),(10,11)],12)
[4,5,8,1,2,9,11,3,6,12,7,10] => ([(0,1),(0,9),(1,8),(2,4),(2,5),(2,10),(3,4),(3,5),(3,10),(4,11),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[4,5,8,1,2,10,11,3,12,6,7,9] => ([(0,2),(0,3),(0,10),(1,2),(1,3),(1,10),(2,11),(3,11),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,5,9,1,2,10,11,12,3,6,7,8] => ([(0,2),(0,3),(0,11),(1,2),(1,3),(1,11),(2,10),(3,10),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,10),(8,10),(9,10),(10,11)],12)
[4,6,7,1,8,2,3,5,10,9,12,11] => ([(0,3),(1,2),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,7,1,8,2,3,5,11,12,9,10] => ([(0,2),(0,3),(1,2),(1,3),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,7,1,9,2,3,10,5,8,12,11] => ([(0,1),(2,3),(2,11),(3,10),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,6,7,1,9,2,3,11,5,12,8,10] => ([(0,1),(0,5),(1,4),(2,3),(2,8),(2,9),(3,10),(3,11),(4,5),(4,6),(5,7),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,7,1,10,2,3,11,12,5,8,9] => ([(0,2),(0,3),(0,10),(1,2),(1,3),(1,10),(2,11),(3,11),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,6,8,1,9,2,10,3,5,7,12,11] => ([(0,1),(2,5),(2,9),(2,11),(3,4),(3,8),(3,11),(4,6),(4,10),(5,7),(5,10),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(9,10),(10,11)],12)
[4,6,8,1,9,2,11,3,5,12,7,10] => ([(0,1),(0,9),(1,8),(2,3),(2,7),(2,10),(3,6),(3,11),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,10),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[4,6,8,1,10,2,11,3,12,5,7,9] => ([(0,3),(0,7),(0,11),(1,2),(1,4),(1,8),(2,5),(2,9),(3,6),(3,10),(4,5),(4,9),(4,10),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[4,6,9,1,10,2,11,12,3,5,7,8] => ([(0,1),(0,7),(0,11),(1,6),(1,10),(2,4),(2,5),(2,9),(2,10),(3,4),(3,5),(3,9),(3,10),(4,8),(4,11),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[4,7,8,1,9,10,2,3,5,6,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,7,8,1,9,11,2,3,5,12,6,10] => ([(0,1),(0,11),(1,10),(2,3),(2,6),(2,7),(3,8),(3,9),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[4,7,8,1,10,11,2,3,12,5,6,9] => ([(0,3),(0,10),(0,11),(1,2),(1,4),(1,5),(2,6),(2,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[4,7,9,1,10,11,2,12,3,5,6,8] => ([(0,1),(0,9),(0,11),(1,8),(1,10),(2,3),(2,6),(2,7),(2,10),(3,4),(3,5),(3,11),(4,6),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[4,8,9,1,10,11,12,2,3,5,6,7] => ([(0,1),(0,10),(0,11),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,7,8,1,2,3,4,10,9,12,11] => ([(0,3),(1,2),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[5,6,7,8,1,2,3,4,11,12,9,10] => ([(0,2),(0,3),(1,2),(1,3),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[5,6,7,9,1,2,3,10,4,8,12,11] => ([(0,1),(2,3),(2,11),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[5,6,7,9,1,2,3,11,4,12,8,10] => ([(0,1),(0,3),(1,2),(2,3),(2,10),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[5,6,7,10,1,2,3,11,12,4,8,9] => ([(0,2),(0,3),(0,11),(1,2),(1,3),(1,11),(2,10),(3,10),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,10),(8,10),(9,10),(10,11)],12)
[5,6,8,9,1,2,10,3,4,7,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,8,9,1,2,11,3,4,12,7,10] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,8),(2,9),(3,4),(3,5),(3,8),(3,9),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,8,10,1,2,11,3,12,4,7,9] => ([(0,1),(0,7),(0,11),(1,6),(1,10),(2,4),(2,5),(2,9),(2,10),(3,4),(3,5),(3,9),(3,10),(4,8),(4,11),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[5,6,9,10,1,2,11,12,3,4,7,8] => ([(0,6),(0,7),(0,10),(0,11),(1,4),(1,5),(1,10),(1,11),(2,4),(2,5),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,7,8,9,1,10,2,3,4,6,12,11] => ([(0,1),(2,5),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[5,7,8,9,1,11,2,3,4,12,6,10] => ([(0,1),(0,11),(1,10),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[5,7,8,10,1,11,2,3,12,4,6,9] => ([(0,1),(0,9),(0,11),(1,8),(1,10),(2,3),(2,6),(2,7),(2,10),(3,4),(3,5),(3,11),(4,6),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[5,7,9,10,1,11,2,12,3,4,6,8] => ([(0,3),(0,7),(0,10),(0,11),(1,2),(1,5),(1,8),(1,9),(2,4),(2,10),(2,11),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,8,9,10,1,11,12,2,3,4,6,7] => ([(0,1),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[6,7,8,9,10,1,2,3,4,5,12,11] => ([(0,1),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[6,7,8,9,11,1,2,3,4,12,5,10] => ([(0,1),(0,11),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[6,7,8,10,11,1,2,3,12,4,5,9] => ([(0,1),(0,10),(0,11),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[6,7,9,10,11,1,2,12,3,4,5,8] => ([(0,1),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[6,8,9,10,11,1,12,2,3,4,5,7] => ([(0,3),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[1,2,3,4,5,6,7,8,9,12,10,11] => ([(9,11),(10,11)],12)
[12,1,3,4,5,6,7,8,9,10,11,2] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,7,6,9,8,11,10,1,12] => ([(1,10),(1,11),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,5,4,7,6,9,8,1,12,10,11] => ([(0,10),(1,10),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11)],12)
[3,2,5,4,7,6,11,10,8,9,1,12] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,7,6,1,10,8,12,9,11] => ([(0,10),(1,9),(2,9),(2,10),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11)],12)
[3,2,5,4,7,6,1,12,11,8,9,10] => ([(0,5),(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],12)
[3,2,5,4,9,8,6,7,11,10,1,12] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,9,8,6,7,1,12,10,11] => ([(0,6),(1,6),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,11,8,6,10,7,9,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,1,8,6,10,7,12,9,11] => ([(0,10),(1,9),(2,3),(2,4),(3,9),(4,10),(5,8),(5,11),(6,7),(6,11),(7,11),(8,11)],12)
[3,2,5,4,1,8,6,12,11,7,9,10] => ([(0,7),(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(8,10),(8,11),(10,11)],12)
[3,2,5,4,11,10,9,6,7,8,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,1,10,9,6,7,12,8,11] => ([(0,7),(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(8,10),(8,11),(10,11)],12)
[3,2,5,4,1,12,9,6,11,7,8,10] => ([(0,3),(0,8),(1,2),(1,8),(2,8),(3,8),(4,10),(4,11),(5,9),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,11),(10,11)],12)
[3,2,5,4,1,12,11,10,6,7,8,9] => ([(0,3),(0,8),(1,2),(1,8),(2,8),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,4,5,9,8,11,10,1,12] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,4,5,9,8,1,12,10,11] => ([(0,6),(1,6),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,4,5,11,10,8,9,1,12] => ([(1,2),(1,11),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,4,5,1,10,8,12,9,11] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,11),(4,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,4,5,1,12,11,8,9,10] => ([(0,1),(0,11),(1,11),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(9,10),(9,11),(10,11)],12)
[3,2,9,6,4,8,5,7,11,10,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,9,6,4,8,5,7,1,12,10,11] => ([(0,4),(1,4),(2,3),(2,11),(3,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,11,6,4,8,5,10,7,9,1,12] => ([(1,2),(1,11),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,6,4,8,5,10,7,12,9,11] => ([(0,11),(1,10),(2,3),(2,4),(3,4),(5,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12)
[3,2,1,6,4,8,5,12,11,7,9,10] => ([(0,8),(1,2),(1,3),(2,3),(4,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,9),(9,10),(9,11),(10,11)],12)
[3,2,11,6,4,10,9,5,7,8,1,12] => ([(1,2),(1,11),(2,11),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,6,4,10,9,5,7,12,8,11] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,10),(5,11),(6,8),(7,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,6,4,12,9,5,11,7,8,10] => ([(0,5),(1,2),(1,3),(2,3),(4,9),(4,11),(5,6),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[3,2,1,6,4,12,11,10,5,7,8,9] => ([(0,4),(1,2),(1,3),(2,3),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,9,8,7,4,5,6,11,10,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,9,8,7,4,5,6,1,12,10,11] => ([(0,4),(1,4),(2,3),(2,11),(3,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,11,8,7,4,5,10,6,9,1,12] => ([(1,2),(1,11),(2,11),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,8,7,4,5,10,6,12,9,11] => ([(0,8),(1,2),(1,3),(2,3),(4,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,9),(9,10),(9,11),(10,11)],12)
[3,2,1,8,7,4,5,12,11,6,9,10] => ([(0,1),(0,2),(1,2),(3,9),(3,10),(4,7),(4,8),(5,7),(5,8),(6,9),(6,10),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,11,10,7,4,9,5,6,8,1,12] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,10,7,4,9,5,6,12,8,11] => ([(0,5),(1,2),(1,3),(2,3),(4,9),(4,11),(5,6),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[3,2,1,12,7,4,9,5,11,6,8,10] => ([(0,1),(0,2),(1,2),(3,9),(3,11),(4,8),(4,11),(5,8),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,1,12,7,4,11,10,5,6,8,9] => ([(0,1),(0,2),(1,2),(3,8),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,11,10,9,8,4,5,6,7,1,12] => ([(1,2),(1,11),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,10,9,8,4,5,6,12,7,11] => ([(0,4),(1,2),(1,3),(2,3),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,12,9,8,4,5,11,6,7,10] => ([(0,1),(0,2),(1,2),(3,8),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,12,11,8,4,10,5,6,7,9] => ([(0,1),(0,2),(1,2),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,12,11,10,9,4,5,6,7,8] => ([(0,1),(0,2),(1,2),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,2,3,7,6,9,8,11,10,1,12] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,2,3,7,6,9,8,1,12,10,11] => ([(0,6),(1,6),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,2,3,7,6,11,10,8,9,1,12] => ([(1,2),(1,11),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,2,3,7,6,1,10,8,12,9,11] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,11),(4,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,2,3,7,6,1,12,11,8,9,10] => ([(0,1),(0,11),(1,11),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(9,10),(9,11),(10,11)],12)
[5,4,2,3,9,8,6,7,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,2,3,9,8,6,7,1,12,10,11] => ([(0,2),(1,2),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,2,3,11,8,6,10,7,9,1,12] => ([(1,8),(1,9),(1,11),(2,8),(2,9),(2,11),(3,7),(3,10),(3,11),(4,6),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[5,4,2,3,1,8,6,10,7,12,9,11] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,2,3,1,8,6,12,11,7,9,10] => ([(0,3),(1,10),(1,11),(2,10),(2,11),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[5,4,2,3,11,10,9,6,7,8,1,12] => ([(1,6),(1,7),(1,11),(2,6),(2,7),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,2,3,1,10,9,6,7,12,8,11] => ([(0,3),(1,10),(1,11),(2,10),(2,11),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[5,4,2,3,1,12,9,6,11,7,8,10] => ([(0,10),(0,11),(1,9),(1,11),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(7,8),(9,11),(10,11)],12)
[5,4,2,3,1,12,11,10,6,7,8,9] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[7,4,2,6,3,5,9,8,11,10,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,2,6,3,5,9,8,1,12,10,11] => ([(0,4),(1,4),(2,3),(2,11),(3,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,2,6,3,5,11,10,8,9,1,12] => ([(1,8),(1,9),(1,11),(2,8),(2,9),(2,11),(3,7),(3,10),(3,11),(4,6),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[7,4,2,6,3,5,1,10,8,12,9,11] => ([(0,4),(1,3),(2,3),(2,4),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,2,6,3,5,1,12,11,8,9,10] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(3,10),(3,11),(4,6),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(10,11)],12)
[9,4,2,6,3,8,5,7,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,2,6,3,8,5,7,1,12,10,11] => ([(0,2),(1,2),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,2,6,3,8,5,10,7,9,1,12] => ([(1,9),(1,10),(1,11),(2,8),(2,10),(2,11),(3,4),(3,5),(3,10),(3,11),(4,6),(4,10),(4,11),(5,7),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,2,6,3,8,5,10,7,12,9,11] => ([(1,11),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12)
[1,4,2,6,3,8,5,12,11,7,9,10] => ([(1,8),(2,3),(2,4),(3,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,9),(9,10),(9,11),(10,11)],12)
[11,4,2,6,3,10,9,5,7,8,1,12] => ([(1,6),(1,10),(1,11),(2,5),(2,6),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,2,6,3,10,9,5,7,12,8,11] => ([(1,7),(2,6),(3,5),(3,6),(4,10),(4,11),(5,9),(7,8),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,2,6,3,12,9,5,11,7,8,10] => ([(1,5),(2,4),(2,5),(3,9),(3,11),(4,6),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[1,4,2,6,3,12,11,10,5,7,8,9] => ([(1,4),(2,3),(2,4),(3,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,2,8,7,3,5,6,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,2,8,7,3,5,6,1,12,10,11] => ([(0,2),(1,2),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,2,8,7,3,5,10,6,9,1,12] => ([(1,5),(1,10),(1,11),(2,4),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,10),(4,11),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,2,8,7,3,5,10,6,12,9,11] => ([(1,7),(2,6),(3,5),(3,6),(4,10),(4,11),(5,9),(7,8),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,2,8,7,3,5,12,11,6,9,10] => ([(1,5),(2,8),(2,9),(3,10),(3,11),(4,10),(4,11),(5,6),(6,8),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(10,11)],12)
[11,4,2,10,7,3,9,5,6,8,1,12] => ([(1,3),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,2,10,7,3,9,5,6,12,8,11] => ([(1,4),(2,3),(3,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[1,4,2,12,7,3,9,5,11,6,8,10] => ([(1,3),(2,10),(2,11),(3,6),(4,8),(4,9),(4,11),(5,8),(5,10),(5,11),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[1,4,2,12,7,3,11,10,5,6,8,9] => ([(1,2),(2,5),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,2,10,9,8,3,5,6,7,1,12] => ([(1,2),(1,10),(1,11),(2,6),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,2,10,9,8,3,5,6,12,7,11] => ([(1,4),(2,3),(3,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,2,12,9,8,3,5,11,6,7,10] => ([(1,3),(2,8),(2,11),(3,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,2,12,11,8,3,10,5,6,7,9] => ([(1,2),(2,7),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,2,12,11,10,9,3,5,6,7,8] => ([(1,2),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,2,3,4,9,8,11,10,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,2,3,4,9,8,1,12,10,11] => ([(0,4),(1,4),(2,3),(2,11),(3,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,2,3,4,11,10,8,9,1,12] => ([(1,6),(1,7),(1,11),(2,6),(2,7),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,2,3,4,1,10,8,12,9,11] => ([(0,4),(1,3),(2,3),(2,4),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,2,3,4,1,12,11,8,9,10] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,5,2,3,8,4,7,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,5,2,3,8,4,7,1,12,10,11] => ([(0,2),(1,2),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,5,2,3,8,4,10,7,9,1,12] => ([(1,6),(1,10),(1,11),(2,5),(2,6),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,2,3,8,4,10,7,12,9,11] => ([(1,8),(2,3),(2,4),(3,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,9),(9,10),(9,11),(10,11)],12)
[1,6,5,2,3,8,4,12,11,7,9,10] => ([(1,8),(1,9),(2,8),(2,9),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[11,6,5,2,3,10,9,4,7,8,1,12] => ([(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,2,3,10,9,4,7,12,8,11] => ([(1,5),(2,8),(2,9),(3,10),(3,11),(4,10),(4,11),(5,6),(6,8),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(10,11)],12)
[1,6,5,2,3,12,9,4,11,7,8,10] => ([(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,7),(6,9),(6,10),(6,11),(7,11),(8,11),(9,10)],12)
[1,6,5,2,3,12,11,10,4,7,8,9] => ([(1,6),(1,7),(2,6),(2,7),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(7,8),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,5,2,7,3,4,6,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,5,2,7,3,4,6,1,12,10,11] => ([(0,2),(1,2),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,5,2,7,3,4,10,6,9,1,12] => ([(1,3),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,5,2,7,3,4,10,6,12,9,11] => ([(1,5),(2,4),(2,5),(3,9),(3,11),(4,6),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[1,8,5,2,7,3,4,12,11,6,9,10] => ([(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,7),(6,9),(6,10),(6,11),(7,11),(8,11),(9,10)],12)
[11,10,5,2,7,3,9,4,6,8,1,12] => ([(1,8),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,5,2,7,3,9,4,6,12,8,11] => ([(1,3),(2,10),(2,11),(3,6),(4,8),(4,9),(4,11),(5,8),(5,10),(5,11),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[1,12,5,2,7,3,9,4,11,6,8,10] => ([(1,10),(1,11),(2,9),(2,11),(3,7),(3,9),(3,11),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,12,5,2,7,3,11,10,4,6,8,9] => ([(1,7),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,11),(5,6),(5,9),(5,10),(5,11),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,5,2,9,8,3,4,6,7,1,12] => ([(1,6),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,5,2,9,8,3,4,6,12,7,11] => ([(1,3),(2,8),(2,11),(3,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,2,9,8,3,4,11,6,7,10] => ([(1,8),(1,11),(2,7),(2,11),(3,7),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,2,11,8,3,10,4,6,7,9] => ([(1,6),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,2,11,10,9,3,4,6,7,8] => ([(1,5),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,6,2,3,4,5,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,6,2,3,4,5,1,12,10,11] => ([(0,2),(1,2),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,7,6,2,3,4,10,5,9,1,12] => ([(1,2),(1,10),(1,11),(2,6),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,7,6,2,3,4,10,5,12,9,11] => ([(1,4),(2,3),(2,4),(3,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,7,6,2,3,4,12,11,5,9,10] => ([(1,6),(1,7),(2,6),(2,7),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(7,8),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,7,6,2,3,9,4,5,8,1,12] => ([(1,6),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,7,6,2,3,9,4,5,12,8,11] => ([(1,2),(2,5),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,7,6,2,3,9,4,11,5,8,10] => ([(1,7),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,11),(5,6),(5,9),(5,10),(5,11),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,7,6,2,3,11,10,4,5,8,9] => ([(1,9),(1,10),(1,11),(2,7),(2,8),(2,11),(3,7),(3,8),(3,11),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,9,6,2,8,3,4,5,7,1,12] => ([(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,9,6,2,8,3,4,5,12,7,11] => ([(1,2),(2,7),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,9,6,2,8,3,4,11,5,7,10] => ([(1,6),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,6,2,8,3,10,4,5,7,9] => ([(1,9),(1,10),(1,11),(2,8),(2,10),(2,11),(3,7),(3,8),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,6,2,10,9,3,4,5,7,8] => ([(1,7),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,9,8,7,2,3,4,5,6,1,12] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,9,8,7,2,3,4,5,12,6,11] => ([(1,2),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,9,8,7,2,3,4,11,5,6,10] => ([(1,5),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,8,7,2,3,10,4,5,6,9] => ([(1,7),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,10,7,2,9,3,4,5,6,8] => ([(1,8),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,10,9,8,2,3,4,5,6,7] => ([(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,7,6,9,8,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,10),(3,11),(4,9),(4,11),(5,8),(5,11),(6,7),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,5,4,7,6,11,10,9,8,1,12] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,7,6,1,10,9,12,11,8] => ([(0,5),(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,11),(6,9),(6,10),(7,8),(7,10),(8,10),(9,10)],12)
[3,2,5,4,7,6,1,12,11,10,9,8] => ([(0,5),(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],12)
[3,2,5,4,9,8,7,6,11,10,1,12] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,9,8,7,6,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,11,8,7,10,9,6,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,1,8,7,10,9,12,11,6] => ([(0,5),(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,11),(6,9),(6,10),(7,8),(7,10),(8,10),(9,10)],12)
[3,2,5,4,1,8,7,12,11,10,9,6] => ([(0,1),(0,11),(1,11),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,11,10,9,8,7,6,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,1,10,9,8,7,12,11,6] => ([(0,1),(0,11),(1,11),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,1,12,9,8,11,10,7,6] => ([(0,3),(0,8),(1,2),(1,8),(2,8),(3,8),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,1,12,11,10,9,8,7,6] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,5,4,9,8,11,10,1,12] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,5,4,9,8,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,5,4,11,10,9,8,1,12] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,5,4,1,10,9,12,11,8] => ([(0,1),(0,11),(1,11),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,5,4,1,12,11,10,9,8] => ([(0,1),(0,11),(1,11),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,9,6,5,8,7,4,11,10,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,9,6,5,8,7,4,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,4),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,11,6,5,8,7,10,9,4,1,12] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,6,5,8,7,10,9,12,11,4] => ([(0,1),(0,2),(1,2),(3,10),(3,11),(4,9),(4,11),(5,8),(5,11),(6,7),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,1,6,5,8,7,12,11,10,9,4] => ([(0,1),(0,2),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,11,6,5,10,9,8,7,4,1,12] => ([(1,2),(1,11),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,6,5,10,9,8,7,12,11,4] => ([(0,1),(0,2),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,6,5,12,9,8,11,10,7,4] => ([(0,1),(0,2),(1,2),(3,4),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,6,5,12,11,10,9,8,7,4] => ([(0,1),(0,11),(1,11),(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,9,8,7,6,5,4,11,10,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,9,8,7,6,5,4,1,12,11,10] => ([(0,1),(0,11),(1,11),(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,11,8,7,6,5,10,9,4,1,12] => ([(1,2),(1,11),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,8,7,6,5,10,9,12,11,4] => ([(0,1),(0,2),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,8,7,6,5,12,11,10,9,4] => ([(0,1),(0,2),(1,2),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,11,10,7,6,9,8,5,4,1,12] => ([(1,2),(1,11),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,10,7,6,9,8,5,12,11,4] => ([(0,1),(0,2),(1,2),(3,4),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,12,7,6,9,8,11,10,5,4] => ([(0,1),(0,2),(1,2),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,12,7,6,11,10,9,8,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,11,10,9,8,7,6,5,4,1,12] => ([(1,2),(1,11),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,10,9,8,7,6,5,12,11,4] => ([(0,1),(0,11),(1,11),(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,12,9,8,7,6,11,10,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,12,11,8,7,10,9,6,5,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,1,12,11,10,9,8,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,7,6,9,8,11,10,1,12] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,7,6,9,8,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,7,6,11,10,9,8,1,12] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,7,6,1,10,9,12,11,8] => ([(0,1),(0,11),(1,11),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,7,6,1,12,11,10,9,8] => ([(0,1),(0,11),(1,11),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,9,8,7,6,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,9,8,7,6,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,11,8,7,10,9,6,1,12] => ([(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,1,8,7,10,9,12,11,6] => ([(0,5),(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],12)
[5,4,3,2,1,8,7,12,11,10,9,6] => ([(0,1),(0,11),(1,11),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,11,10,9,8,7,6,1,12] => ([(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,1,10,9,8,7,12,11,6] => ([(0,1),(0,11),(1,11),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,1,12,9,8,11,10,7,6] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,3,2,1,12,11,10,9,8,7,6] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,3,6,5,2,9,8,11,10,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,3,6,5,2,9,8,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,4),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,3,6,5,2,11,10,9,8,1,12] => ([(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,3,6,5,2,1,10,9,12,11,8] => ([(0,3),(0,8),(1,2),(1,8),(2,8),(3,8),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[7,4,3,6,5,2,1,12,11,10,9,8] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,3,6,5,8,7,2,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,3,6,5,8,7,2,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,3,6,5,8,7,10,9,2,1,12] => ([(1,8),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,6,5,8,7,10,9,12,11,2] => ([(1,10),(1,11),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,4,3,6,5,8,7,12,11,10,9,2] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,3,6,5,10,9,8,7,2,1,12] => ([(1,4),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,6,5,10,9,8,7,12,11,2] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,6,5,12,9,8,11,10,7,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,6,5,12,11,10,9,8,7,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,3,8,7,6,5,2,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,3,8,7,6,5,2,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,3,8,7,6,5,10,9,2,1,12] => ([(1,4),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,8,7,6,5,10,9,12,11,2] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,8,7,6,5,12,11,10,9,2] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,3,10,7,6,9,8,5,2,1,12] => ([(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,10,7,6,9,8,5,12,11,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,12,7,6,9,8,11,10,5,2] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,12,7,6,11,10,9,8,5,2] => ([(1,2),(1,11),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,3,10,9,8,7,6,5,2,1,12] => ([(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,10,9,8,7,6,5,12,11,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,12,9,8,7,6,11,10,5,2] => ([(1,2),(1,11),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,12,11,8,7,10,9,6,5,2] => ([(1,2),(1,11),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,12,11,10,9,8,7,6,5,2] => ([(1,2),(1,11),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,4,3,2,9,8,11,10,1,12] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,4,3,2,9,8,1,12,11,10] => ([(0,1),(0,11),(1,11),(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,4,3,2,11,10,9,8,1,12] => ([(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,4,3,2,1,10,9,12,11,8] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,4,3,2,1,12,11,10,9,8] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,5,4,3,8,7,2,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,5,4,3,8,7,2,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,5,4,3,8,7,10,9,2,1,12] => ([(1,4),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,4,3,8,7,10,9,12,11,2] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,4,3,8,7,12,11,10,9,2] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,5,4,3,10,9,8,7,2,1,12] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,9),(2,10),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,4,3,10,9,8,7,12,11,2] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,4,3,12,9,8,11,10,7,2] => ([(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,4,3,12,11,10,9,8,7,2] => ([(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,5,4,7,6,3,2,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,5,4,7,6,3,2,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,5,4,7,6,3,10,9,2,1,12] => ([(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,5,4,7,6,3,10,9,12,11,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,5,4,7,6,3,12,11,10,9,2] => ([(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,5,4,7,6,9,8,3,2,1,12] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,5,4,7,6,9,8,3,12,11,2] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,4,7,6,9,8,11,10,3,2] => ([(1,8),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,4,7,6,11,10,9,8,3,2] => ([(1,4),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,5,4,9,8,7,6,3,2,1,12] => ([(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,5,4,9,8,7,6,3,12,11,2] => ([(1,2),(1,11),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,4,9,8,7,6,11,10,3,2] => ([(1,4),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,4,11,8,7,10,9,6,3,2] => ([(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,4,11,10,9,8,7,6,3,2] => ([(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,6,5,4,3,2,11,10,1,12] => ([(1,2),(1,11),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,6,5,4,3,2,1,12,11,10] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,7,6,5,4,3,10,9,2,1,12] => ([(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,7,6,5,4,3,10,9,12,11,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,7,6,5,4,3,12,11,10,9,2] => ([(1,2),(1,3),(1,4),(1,11),(2,3),(2,4),(2,11),(3,4),(3,11),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,7,6,5,4,9,8,3,2,1,12] => ([(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,7,6,5,4,9,8,3,12,11,2] => ([(1,2),(1,11),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,7,6,5,4,9,8,11,10,3,2] => ([(1,4),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,7,6,5,4,11,10,9,8,3,2] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,9),(2,10),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,9,6,5,8,7,4,3,2,1,12] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,9,6,5,8,7,4,3,12,11,2] => ([(1,2),(1,11),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,9,6,5,8,7,4,11,10,3,2] => ([(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,6,5,8,7,10,9,4,3,2] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,6,5,10,9,8,7,4,3,2] => ([(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,9,8,7,6,5,4,3,2,1,12] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,9,8,7,6,5,4,3,12,11,2] => ([(1,2),(1,11),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,9,8,7,6,5,4,11,10,3,2] => ([(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,8,7,6,5,10,9,4,3,2] => ([(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,10,7,6,9,8,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,10,9,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,5,6,7,8,9,10,11,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,3,4,5,6,7,8,9,10,11,12,2] => ([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,5,8,7,10,12,11,9] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,8,10,9,7,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,10,12,9,11,7,8] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,6,5,8,9,12,10,11,7] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,8,7,5,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,8,7,5,10,12,11,9] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,1,4,3,8,10,7,9,5,6,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,10,9,7,12,6,11,5,8] => ([(0,3),(1,2),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,9,7,12,10,6,11,5] => ([(0,3),(1,2),(4,9),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,7,10,8,9,5,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,10,7,12,8,9,11,5,6] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,6,9,12,8,11,10,5,7] => ([(0,3),(1,2),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,6,7,8,12,9,10,11,5] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,6,5,3,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,6,5,3,8,7,10,12,11,9] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,1,4,6,5,3,8,10,9,7,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,1,4,6,5,3,10,12,9,11,7,8] => ([(0,7),(1,2),(3,4),(3,7),(4,7),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,6,5,3,8,9,12,10,11,7] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[2,1,6,8,5,7,3,4,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,6,8,5,7,3,4,10,12,11,9] => ([(0,7),(1,2),(3,4),(3,7),(4,7),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,8,7,5,10,4,9,3,6,12,11] => ([(0,3),(1,2),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,7,5,9,4,12,6,11,3,8] => ([(0,1),(2,4),(2,5),(2,11),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,11),(5,9),(5,10),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,7,5,9,4,12,10,6,11,3] => ([(0,1),(2,6),(2,11),(3,9),(3,10),(3,11),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,6,7,5,10,8,4,9,3,12,11] => ([(0,3),(1,2),(4,9),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,8,5,7,12,4,9,11,3,6] => ([(0,1),(2,6),(2,9),(2,11),(3,7),(3,8),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[2,1,6,9,5,8,12,3,11,10,4,7] => ([(0,1),(2,6),(2,10),(2,11),(3,4),(3,7),(3,9),(3,11),(4,7),(4,9),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[2,1,6,7,5,8,12,9,3,10,11,4] => ([(0,1),(2,10),(2,11),(3,9),(3,11),(4,9),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,5,8,6,7,3,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,5,8,6,7,3,10,12,11,9] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[2,1,8,5,10,6,7,9,3,4,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,10,5,9,6,7,12,4,11,3,8] => ([(0,1),(2,6),(2,7),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,5,9,6,7,12,10,4,11,3] => ([(0,1),(2,8),(2,11),(3,8),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,7,10,6,9,8,3,5,12,11] => ([(0,3),(1,2),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,10,7,12,6,9,8,4,11,3,5] => ([(0,1),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11)],12)
[2,1,4,9,12,6,10,8,11,7,3,5] => ([(0,1),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[2,1,4,7,8,6,12,10,9,5,11,3] => ([(0,1),(2,11),(3,9),(3,11),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,5,6,10,7,8,9,3,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,5,6,12,7,8,9,11,3,4] => ([(0,1),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,9,6,12,7,8,11,10,3,5] => ([(0,11),(1,2),(3,8),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,5,8,12,7,11,9,10,3,6] => ([(0,1),(2,11),(3,11),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,5,6,7,12,8,9,10,11,3] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,1,6,5,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,1,6,5,8,7,10,12,11,9] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,4,3,1,6,5,8,10,9,7,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,4,3,1,6,5,10,12,9,11,7,8] => ([(0,7),(1,2),(3,4),(3,7),(4,7),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,4,3,1,6,5,8,9,12,10,11,7] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[2,4,3,1,6,8,7,5,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,4,3,1,6,8,7,5,10,12,11,9] => ([(0,11),(1,10),(2,9),(3,4),(3,9),(4,9),(5,6),(5,10),(6,10),(7,8),(7,11),(8,11)],12)
[2,4,3,1,8,10,7,9,5,6,12,11] => ([(0,7),(1,2),(3,4),(3,7),(4,7),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,4,3,1,10,9,7,12,6,11,5,8] => ([(0,4),(1,2),(1,4),(2,4),(3,6),(3,7),(3,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,1,8,9,7,12,10,6,11,5] => ([(0,7),(1,9),(1,11),(2,3),(2,7),(3,7),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,9),(6,10),(6,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,1,6,7,10,8,9,5,12,11] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[2,4,3,1,10,7,12,8,9,11,5,6] => ([(0,5),(1,2),(1,5),(2,5),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,4,3,1,6,9,12,8,11,10,5,7] => ([(0,5),(1,11),(2,3),(2,5),(3,5),(4,8),(4,10),(4,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,4,3,1,6,7,8,12,9,10,11,5] => ([(0,11),(1,11),(2,11),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[4,6,3,5,1,2,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,3,5,1,2,8,7,10,12,11,9] => ([(0,7),(1,2),(3,4),(3,7),(4,7),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,3,5,1,2,8,10,9,7,12,11] => ([(0,7),(1,2),(3,4),(3,7),(4,7),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,6,3,5,1,2,10,12,9,11,7,8] => ([(0,7),(0,10),(0,11),(1,5),(1,8),(1,9),(2,4),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,8),(4,9),(5,8),(5,9),(6,7),(6,10),(6,11),(7,10),(7,11)],12)
[4,6,3,5,1,2,8,9,12,10,11,7] => ([(0,11),(1,11),(2,6),(2,11),(3,6),(3,11),(4,8),(4,9),(4,10),(5,7),(5,9),(5,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10)],12)
[6,5,3,8,2,7,1,4,10,9,12,11] => ([(0,3),(1,2),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,3,8,2,7,1,4,10,12,11,9] => ([(0,4),(1,2),(1,4),(2,4),(3,6),(3,7),(3,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,5,3,7,2,10,4,9,1,6,12,11] => ([(0,1),(2,4),(2,5),(2,11),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,11),(5,9),(5,10),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,5,3,7,2,9,4,12,6,11,1,8] => ([(0,2),(0,3),(0,11),(1,6),(1,7),(1,10),(1,11),(2,3),(2,8),(2,11),(3,9),(3,10),(4,5),(4,6),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,5,3,7,2,9,4,12,10,6,11,1] => ([(0,4),(0,11),(1,8),(1,9),(1,11),(2,4),(2,9),(2,11),(3,6),(3,7),(3,10),(3,11),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,3,7,2,10,8,4,9,1,12,11] => ([(0,1),(2,6),(2,11),(3,9),(3,10),(3,11),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,5,3,8,2,7,12,4,9,11,1,6] => ([(0,6),(0,9),(0,11),(1,4),(1,5),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[6,5,3,9,2,8,12,1,11,10,4,7] => ([(0,5),(0,7),(0,8),(0,11),(1,6),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,10),(3,4),(3,6),(3,10),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,9),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[6,5,3,7,2,8,12,9,1,10,11,4] => ([(0,9),(0,11),(1,9),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(9,10),(9,11)],12)
[4,5,3,8,6,2,7,1,10,9,12,11] => ([(0,3),(1,2),(4,9),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,3,8,6,2,7,1,10,12,11,9] => ([(0,7),(1,9),(1,11),(2,3),(2,7),(3,7),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,9),(6,10),(6,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,3,5,10,2,7,9,1,4,12,11] => ([(0,1),(2,6),(2,9),(2,11),(3,7),(3,8),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[10,6,3,5,9,2,7,12,4,11,1,8] => ([(0,3),(0,4),(0,11),(1,6),(1,9),(1,10),(1,11),(2,7),(2,8),(2,10),(2,11),(3,4),(3,6),(3,10),(4,9),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,3,5,9,2,7,12,10,4,11,1] => ([(0,5),(0,11),(1,5),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,7),(3,10),(3,11),(4,7),(4,8),(4,9),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,7,3,6,10,1,9,8,2,5,12,11] => ([(0,1),(2,6),(2,10),(2,11),(3,4),(3,7),(3,9),(3,11),(4,7),(4,9),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[10,6,3,7,12,2,9,8,4,11,1,5] => ([(0,8),(0,9),(0,11),(1,5),(1,6),(1,10),(1,11),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[4,9,3,6,12,1,10,8,11,7,2,5] => ([(0,3),(0,5),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,10),(2,11),(3,5),(3,7),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,7,3,6,8,1,12,10,9,5,11,2] => ([(0,9),(0,11),(1,6),(1,8),(1,11),(2,8),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,11),(7,8),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[4,5,3,6,10,7,1,8,9,2,12,11] => ([(0,1),(2,10),(2,11),(3,9),(3,11),(4,9),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,7,3,5,6,12,2,8,9,11,1,4] => ([(0,6),(0,9),(0,11),(1,7),(1,8),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[4,9,3,7,6,12,1,8,11,10,2,5] => ([(0,4),(0,8),(0,11),(1,2),(1,7),(1,10),(1,11),(2,7),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[4,5,3,8,7,12,2,11,9,10,1,6] => ([(0,6),(0,10),(0,11),(1,6),(1,10),(1,11),(2,3),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[4,5,3,6,7,12,8,2,9,10,11,1] => ([(0,10),(0,11),(1,10),(1,11),(2,9),(2,11),(3,9),(3,11),(4,9),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,6,4,5,1,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,6,4,5,1,8,7,10,12,11,9] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[2,3,6,4,5,1,8,10,9,7,12,11] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[2,3,6,4,5,1,10,12,9,11,7,8] => ([(0,11),(1,11),(2,6),(2,11),(3,6),(3,11),(4,8),(4,9),(4,10),(5,7),(5,9),(5,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10)],12)
[2,3,6,4,5,1,8,9,12,10,11,7] => ([(0,10),(1,10),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,11),(9,10)],12)
[6,3,8,4,5,7,1,2,10,9,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[6,3,8,4,5,7,1,2,10,12,11,9] => ([(0,5),(1,2),(1,5),(2,5),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,3,7,4,5,10,2,9,1,6,12,11] => ([(0,1),(2,6),(2,7),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,3,7,4,5,9,2,12,6,11,1,8] => ([(0,4),(0,5),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,11),(5,6),(5,10),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,7,4,5,9,2,12,10,6,11,1] => ([(0,6),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,11),(3,7),(3,9),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,3,7,4,5,10,8,2,9,1,12,11] => ([(0,1),(2,8),(2,11),(3,8),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,3,8,4,5,7,12,2,9,11,1,6] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,11),(7,8),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,3,9,4,5,8,12,1,11,10,2,7] => ([(0,8),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,7),(6,10),(6,11),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[6,3,7,4,5,8,12,9,1,10,11,2] => ([(0,10),(0,11),(1,8),(1,11),(2,8),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,5,8,4,7,6,1,3,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,5,8,4,7,6,1,3,10,12,11,9] => ([(0,5),(1,11),(2,3),(2,5),(3,5),(4,8),(4,10),(4,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,5,10,4,7,6,2,9,1,3,12,11] => ([(0,1),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11)],12)
[10,5,9,4,7,6,2,12,3,11,1,8] => ([(0,1),(0,2),(0,11),(1,2),(1,9),(1,11),(2,8),(2,10),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,5,9,4,7,6,2,12,10,3,11,1] => ([(0,2),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,7,10,4,8,6,9,5,1,3,12,11] => ([(0,1),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[10,7,12,4,8,6,9,5,2,11,1,3] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[2,9,8,4,12,6,10,3,11,7,1,5] => ([(0,11),(1,7),(1,8),(1,9),(1,11),(2,5),(2,6),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[2,7,8,4,12,6,9,10,1,3,11,5] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[2,5,6,4,10,8,7,3,9,1,12,11] => ([(0,1),(2,11),(3,9),(3,11),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,5,6,4,12,8,7,3,9,11,1,2] => ([(0,7),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,9,8,4,6,12,7,3,11,10,1,5] => ([(0,11),(1,7),(1,8),(1,9),(1,11),(2,3),(2,6),(2,10),(2,11),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[2,5,8,4,12,9,7,11,6,10,3,1] => ([(0,11),(1,3),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,5),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,5,6,4,7,12,9,8,1,10,11,3] => ([(0,10),(1,10),(1,11),(2,9),(2,11),(3,9),(3,11),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,8,5,6,7,1,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,8,5,6,7,1,10,12,11,9] => ([(0,11),(1,11),(2,11),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[8,3,4,10,5,6,7,9,1,2,12,11] => ([(0,1),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,3,4,9,5,6,7,12,2,11,1,8] => ([(0,6),(0,7),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,4,9,5,6,7,12,10,2,11,1] => ([(0,7),(0,11),(1,7),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,7,4,10,5,6,9,8,1,3,12,11] => ([(0,11),(1,2),(3,8),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,7,4,12,5,6,9,8,2,11,1,3] => ([(0,7),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[2,9,4,12,5,6,10,8,11,7,1,3] => ([(0,11),(1,8),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,7,4,8,5,6,12,10,9,3,11,1] => ([(0,11),(1,9),(1,11),(2,8),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,6,10,5,9,7,8,1,4,12,11] => ([(0,1),(2,11),(3,11),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,3,6,12,5,9,7,8,2,11,1,4] => ([(0,9),(0,10),(0,11),(1,7),(1,8),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[2,9,6,12,5,11,7,8,10,1,3,4] => ([(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[2,3,8,12,5,10,7,11,9,6,1,4] => ([(0,11),(1,11),(2,4),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[2,3,6,7,5,12,10,8,9,4,11,1] => ([(0,11),(1,11),(2,9),(2,11),(3,7),(3,10),(3,11),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,5,10,6,7,8,9,1,12,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,3,4,5,12,6,7,8,9,11,1,2] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,9,4,5,12,6,7,8,11,10,1,3] => ([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,8,5,12,6,7,11,9,10,1,4] => ([(0,11),(1,11),(2,8),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,7,12,6,11,8,9,10,1,5] => ([(0,11),(1,11),(2,11),(3,7),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,5,6,12,7,8,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,8,7,10,11,12,9] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,5,8,9,10,7,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,5,10,9,11,12,7,8] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,6,5,8,9,10,11,12,7] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,7,8,5,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,7,8,5,10,11,12,9] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,1,4,3,8,7,9,10,5,6,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,10,7,11,9,5,12,8,6] => ([(0,3),(1,2),(4,10),(4,11),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,7,9,10,11,12,5,6] => ([(0,3),(1,2),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,6,7,8,9,10,5,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,4,3,10,7,8,9,11,12,5,6] => ([(0,3),(1,2),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,6,9,8,10,11,5,12,7] => ([(0,3),(1,2),(4,11),(5,10),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,6,7,8,9,10,11,12,5] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,4,5,6,3,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,11),(10,11)],12)
[2,1,4,5,6,3,8,7,10,11,12,9] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,1,4,5,6,3,8,9,10,7,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,1,4,5,6,3,10,9,11,12,7,8] => ([(0,1),(2,7),(3,7),(4,7),(5,10),(5,11),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,5,6,3,8,9,10,11,12,7] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,1,6,5,7,8,3,4,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,6,5,7,8,3,4,10,11,12,9] => ([(0,1),(2,7),(3,7),(4,7),(5,10),(5,11),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,8,5,9,7,3,10,6,4,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,5,11,7,3,9,6,12,8,4] => ([(0,1),(2,8),(2,11),(3,4),(3,10),(3,11),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,8,5,9,7,3,10,11,12,6,4] => ([(0,1),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,7,8,9,10,3,4,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,10,5,11,7,8,9,3,12,6,4] => ([(0,1),(2,10),(2,11),(3,8),(3,9),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[2,1,6,5,9,10,8,12,11,4,7,3] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,6,5,7,8,9,10,11,12,3,4] => ([(0,1),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,5,6,7,8,3,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,4,5,6,7,8,3,10,11,12,9] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,1,8,5,6,7,9,10,3,4,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,10,5,6,7,11,9,3,12,8,4] => ([(0,1),(2,8),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[2,1,8,5,6,7,9,10,11,12,3,4] => ([(0,1),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,7,6,8,9,3,10,5,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,10,7,6,8,9,3,11,12,5,4] => ([(0,1),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[2,1,4,9,6,10,8,3,11,7,12,5] => ([(0,1),(2,9),(3,11),(4,10),(4,11),(5,8),(5,9),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(10,11)],12)
[2,1,4,7,6,8,9,10,11,3,12,5] => ([(0,1),(2,11),(3,10),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,5,6,7,8,9,10,3,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,10,5,6,7,8,9,11,12,3,4] => ([(0,1),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,9,6,7,8,10,11,3,12,5] => ([(0,1),(2,11),(3,10),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,5,8,7,9,10,3,11,12,6] => ([(0,1),(2,11),(3,11),(4,10),(5,10),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,5,6,7,8,9,10,11,12,3] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,3,4,1,6,5,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,11),(10,11)],12)
[2,3,4,1,6,5,8,7,10,11,12,9] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,3,4,1,6,5,8,9,10,7,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,3,4,1,6,5,10,9,11,12,7,8] => ([(0,1),(2,7),(3,7),(4,7),(5,10),(5,11),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,1,6,5,8,9,10,11,12,7] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,3,4,1,6,7,8,5,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,3,4,1,6,7,8,5,10,11,12,9] => ([(0,11),(1,11),(2,11),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9)],12)
[2,3,4,1,8,7,9,10,5,6,12,11] => ([(0,1),(2,7),(3,7),(4,7),(5,10),(5,11),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,1,10,7,11,9,5,12,8,6] => ([(0,4),(1,4),(2,4),(3,10),(3,11),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,1,8,7,9,10,11,12,5,6] => ([(0,9),(1,9),(2,9),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11)],12)
[2,3,4,1,6,7,8,9,10,5,12,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,3,4,1,10,7,8,9,11,12,5,6] => ([(0,8),(1,8),(2,8),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11)],12)
[2,3,4,1,6,9,8,10,11,5,12,7] => ([(0,11),(1,10),(2,7),(3,7),(4,7),(5,10),(5,11),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,1,6,7,8,9,10,11,12,5] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[4,3,5,6,1,2,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,3,5,6,1,2,8,7,10,11,12,9] => ([(0,1),(2,7),(3,7),(4,7),(5,10),(5,11),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,3,5,6,1,2,8,9,10,7,12,11] => ([(0,1),(2,7),(3,7),(4,7),(5,10),(5,11),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,3,5,6,1,2,10,9,11,12,7,8] => ([(0,10),(0,11),(1,8),(1,9),(2,8),(2,9),(3,10),(3,11),(4,5),(4,8),(4,9),(5,8),(5,9),(6,7),(6,10),(6,11),(7,10),(7,11)],12)
[4,3,5,6,1,2,8,9,10,11,12,7] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,9),(5,10),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],12)
[6,3,7,5,1,8,4,2,10,9,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,3,7,5,1,8,4,2,10,11,12,9] => ([(0,4),(1,4),(2,4),(3,10),(3,11),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,9,5,1,7,4,10,6,2,12,11] => ([(0,1),(2,8),(2,11),(3,4),(3,10),(3,11),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,3,11,5,1,7,4,9,6,12,8,2] => ([(0,8),(0,11),(1,2),(1,10),(1,11),(2,7),(2,9),(2,10),(3,4),(3,5),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,3,9,5,1,7,4,10,11,12,6,2] => ([(0,9),(0,11),(1,9),(1,11),(2,9),(2,11),(3,4),(3,10),(3,11),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[6,3,7,5,1,8,9,10,4,2,12,11] => ([(0,1),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,3,11,5,1,7,8,9,4,12,6,2] => ([(0,8),(0,11),(1,2),(1,10),(1,11),(2,6),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[6,3,9,5,2,10,8,12,11,4,7,1] => ([(0,6),(0,7),(0,11),(1,4),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[6,3,7,5,1,8,9,10,11,12,4,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,5,6,7,8,1,2,10,9,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,3,5,6,7,8,1,2,10,11,12,9] => ([(0,9),(1,9),(2,9),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11)],12)
[8,3,9,5,6,7,1,10,4,2,12,11] => ([(0,1),(2,10),(2,11),(3,8),(3,9),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[10,3,11,5,6,7,1,9,4,12,8,2] => ([(0,6),(0,11),(1,7),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,3,9,5,6,7,1,10,11,12,4,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[4,3,7,8,6,10,9,2,5,1,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,3,11,7,6,8,9,4,1,12,5,2] => ([(0,9),(0,11),(1,8),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(9,10),(9,11),(10,11)],12)
[4,3,9,10,6,12,8,2,11,7,5,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,6),(2,8),(2,9),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[4,3,7,8,6,9,10,12,11,5,1,2] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,3,5,6,7,8,9,10,1,2,12,11] => ([(0,1),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,3,11,5,6,7,8,9,1,12,4,2] => ([(0,10),(0,11),(1,8),(1,9),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[4,3,9,10,6,7,8,12,11,2,5,1] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[4,3,5,8,9,7,12,10,1,11,6,2] => ([(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,7),(3,9),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[4,3,5,6,7,8,9,10,11,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,5,6,1,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,3,4,5,6,1,8,7,10,11,12,9] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,3,4,5,6,1,8,9,10,7,12,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,3,4,5,6,1,10,9,11,12,7,8] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,9),(5,10),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],12)
[2,3,4,5,6,1,8,9,10,11,12,7] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,10),(8,10),(9,10)],12)
[6,3,4,5,7,8,1,2,10,9,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[6,3,4,5,7,8,1,2,10,11,12,9] => ([(0,8),(1,8),(2,8),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11)],12)
[8,3,4,5,9,7,1,10,6,2,12,11] => ([(0,1),(2,8),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[10,3,4,5,11,7,1,9,6,12,8,2] => ([(0,7),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[8,3,4,5,9,7,1,10,11,12,6,2] => ([(0,9),(0,11),(1,9),(1,11),(2,9),(2,11),(3,8),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(9,10),(9,11),(10,11)],12)
[6,3,4,5,7,8,9,10,1,2,12,11] => ([(0,1),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,3,4,5,11,7,8,9,1,12,6,2] => ([(0,8),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[6,3,4,5,9,10,8,12,11,2,7,1] => ([(0,8),(0,10),(0,11),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[6,3,4,5,7,8,9,10,11,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,5,4,6,7,1,8,3,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,5,4,6,7,1,8,3,10,11,12,9] => ([(0,11),(1,10),(2,7),(3,7),(4,7),(5,10),(5,11),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,5,4,6,7,1,9,10,3,2,12,11] => ([(0,1),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[10,5,4,6,7,1,11,9,3,12,8,2] => ([(0,8),(0,11),(1,6),(1,8),(1,9),(1,11),(2,7),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,5,4,6,7,1,9,10,11,12,3,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[2,7,4,8,6,1,9,5,10,3,12,11] => ([(0,1),(2,9),(3,11),(4,10),(4,11),(5,8),(5,9),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(10,11)],12)
[10,7,4,8,6,1,9,5,11,12,3,2] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,9,4,10,6,1,8,5,11,7,12,3] => ([(0,8),(1,11),(2,7),(2,11),(3,8),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,7,4,8,6,1,9,10,11,5,12,3] => ([(0,9),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(10,11)],12)
[2,5,4,6,7,8,9,1,10,3,12,11] => ([(0,1),(2,11),(3,10),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,5,4,6,7,8,9,1,11,12,3,2] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[2,9,4,10,6,7,8,1,11,5,12,3] => ([(0,10),(1,11),(2,9),(2,11),(3,8),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[2,5,4,8,9,7,11,10,3,6,12,1] => ([(0,11),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,5,4,6,7,8,9,10,11,1,12,3] => ([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,5,6,7,8,1,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,3,4,5,6,7,8,1,10,11,12,9] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[8,3,4,5,6,7,9,10,1,2,12,11] => ([(0,1),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,3,4,5,6,7,11,9,1,12,8,2] => ([(0,8),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[8,3,4,5,6,7,9,10,11,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,7,4,5,6,8,9,1,10,3,12,11] => ([(0,1),(2,11),(3,10),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,7,4,5,6,8,9,1,11,12,3,2] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[2,9,4,5,6,10,8,1,11,7,12,3] => ([(0,10),(1,11),(2,8),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11)],12)
[2,7,4,5,6,8,9,10,11,1,12,3] => ([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,6,5,7,8,1,9,10,4,12,11] => ([(0,1),(2,11),(3,11),(4,10),(5,10),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,3,6,5,7,8,1,9,11,12,4,2] => ([(0,9),(0,11),(1,9),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(9,10),(9,11),(10,11)],12)
[2,9,6,5,7,8,1,10,11,4,12,3] => ([(0,11),(1,8),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[2,3,8,5,9,7,1,10,6,11,12,4] => ([(0,11),(1,11),(2,10),(3,10),(4,9),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[2,3,6,5,7,8,9,10,1,11,12,4] => ([(0,11),(1,11),(2,10),(3,10),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,5,6,7,8,9,10,1,12,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[10,3,4,5,6,7,8,9,11,12,1,2] => ([(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,9,4,5,6,7,8,10,11,1,12,3] => ([(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,8,5,6,7,9,10,1,11,12,4] => ([(0,11),(1,11),(2,10),(3,10),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,3,4,7,6,8,9,1,10,11,12,5] => ([(0,11),(1,11),(2,11),(3,10),(4,10),(5,10),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,4,3,6,5,8,7,12,11,9,10,2] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,6,5,10,9,7,8,12,11,2] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,6,5,12,9,7,11,8,10,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,6,5,12,11,10,7,8,9,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,8,7,5,6,10,9,12,11,2] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,8,7,5,6,12,11,9,10,2] => ([(1,2),(1,11),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,10,7,5,9,6,8,12,11,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,12,7,5,9,6,11,8,10,2] => ([(1,2),(1,11),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,12,7,5,11,10,6,8,9,2] => ([(1,2),(1,11),(2,11),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,10,9,8,5,6,7,12,11,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,12,9,8,5,6,11,7,10,2] => ([(1,2),(1,11),(2,11),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,12,11,8,5,10,6,7,9,2] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,4,3,12,11,10,9,5,6,7,8,2] => ([(1,2),(1,11),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,3,4,8,7,10,9,12,11,2] => ([(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,3,4,8,7,12,11,9,10,2] => ([(1,2),(1,11),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,3,4,10,9,7,8,12,11,2] => ([(1,2),(1,11),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[1,6,5,3,4,12,9,7,11,8,10,2] => ([(1,8),(1,9),(1,11),(2,8),(2,9),(2,11),(3,7),(3,10),(3,11),(4,6),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[1,6,5,3,4,12,11,10,7,8,9,2] => ([(1,6),(1,7),(1,11),(2,6),(2,7),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,5,3,7,4,6,10,9,12,11,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,5,3,7,4,6,12,11,9,10,2] => ([(1,8),(1,9),(1,11),(2,8),(2,9),(2,11),(3,7),(3,10),(3,11),(4,6),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[1,10,5,3,7,4,9,6,8,12,11,2] => ([(1,2),(1,11),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,3,7,4,9,6,11,8,10,2] => ([(1,9),(1,10),(1,11),(2,8),(2,10),(2,11),(3,4),(3,5),(3,10),(3,11),(4,6),(4,10),(4,11),(5,7),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,3,7,4,11,10,6,8,9,2] => ([(1,6),(1,10),(1,11),(2,5),(2,6),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,5,3,9,8,4,6,7,12,11,2] => ([(1,2),(1,11),(2,11),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,3,9,8,4,6,11,7,10,2] => ([(1,5),(1,10),(1,11),(2,4),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,10),(4,11),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,3,11,8,4,10,6,7,9,2] => ([(1,3),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,5,3,11,10,9,4,6,7,8,2] => ([(1,2),(1,10),(1,11),(2,6),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,7,6,3,4,5,10,9,12,11,2] => ([(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,8,7,6,3,4,5,12,11,9,10,2] => ([(1,6),(1,7),(1,11),(2,6),(2,7),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,7,6,3,4,9,5,8,12,11,2] => ([(1,2),(1,11),(2,11),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,7,6,3,4,9,5,11,8,10,2] => ([(1,6),(1,10),(1,11),(2,5),(2,6),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,7,6,3,4,11,10,5,8,9,2] => ([(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,9,6,3,8,4,5,7,12,11,2] => ([(1,2),(1,11),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,9,6,3,8,4,5,11,7,10,2] => ([(1,3),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,6,3,8,4,10,5,7,9,2] => ([(1,8),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,6,3,10,9,4,5,7,8,2] => ([(1,6),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,10,9,8,7,3,4,5,6,12,11,2] => ([(1,2),(1,11),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,9,8,7,3,4,5,11,6,10,2] => ([(1,2),(1,10),(1,11),(2,6),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,8,7,3,4,10,5,6,9,2] => ([(1,6),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,10,7,3,9,4,5,6,8,2] => ([(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,12,11,10,9,8,3,4,5,6,7,2] => ([(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,6,5,8,7,10,9,12,11,4] => ([(0,10),(1,10),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11)],12)
[3,1,2,6,5,8,7,12,11,9,10,4] => ([(0,6),(1,6),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,6,5,10,9,7,8,12,11,4] => ([(0,6),(1,6),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,6,5,12,9,7,11,8,10,4] => ([(0,4),(1,4),(2,3),(2,11),(3,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,6,5,12,11,10,7,8,9,4] => ([(0,4),(1,4),(2,3),(2,11),(3,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,8,7,5,6,10,9,12,11,4] => ([(0,6),(1,6),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,8,7,5,6,12,11,9,10,4] => ([(0,2),(1,2),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,10,7,5,9,6,8,12,11,4] => ([(0,4),(1,4),(2,3),(2,11),(3,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,12,7,5,9,6,11,8,10,4] => ([(0,2),(1,2),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,12,7,5,11,10,6,8,9,4] => ([(0,2),(1,2),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,10,9,8,5,6,7,12,11,4] => ([(0,4),(1,4),(2,3),(2,11),(3,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,12,9,8,5,6,11,7,10,4] => ([(0,2),(1,2),(3,6),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,12,11,8,5,10,6,7,9,4] => ([(0,2),(1,2),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,2,12,11,10,9,5,6,7,8,4] => ([(0,2),(1,2),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,5,2,4,8,7,10,9,12,11,6] => ([(0,10),(1,9),(2,9),(2,10),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11)],12)
[3,1,5,2,4,8,7,12,11,9,10,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,11),(4,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,5,2,4,10,9,7,8,12,11,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,11),(4,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,5,2,4,12,9,7,11,8,10,6] => ([(0,4),(1,3),(2,3),(2,4),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,5,2,4,12,11,10,7,8,9,6] => ([(0,4),(1,3),(2,3),(2,4),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,5,2,7,4,6,10,9,12,11,8] => ([(0,10),(1,9),(2,3),(2,4),(3,9),(4,10),(5,8),(5,11),(6,7),(6,11),(7,11),(8,11)],12)
[3,1,5,2,7,4,6,12,11,9,10,8] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,5,2,7,4,9,6,8,12,11,10] => ([(0,11),(1,10),(2,3),(2,4),(3,4),(5,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12)
[3,1,5,2,7,4,9,6,11,8,10,12] => ([(1,11),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12)
[3,1,5,2,7,4,11,10,6,8,9,12] => ([(1,8),(2,3),(2,4),(3,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,9),(9,10),(9,11),(10,11)],12)
[3,1,5,2,9,8,4,6,7,12,11,10] => ([(0,8),(1,2),(1,3),(2,3),(4,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,9),(9,10),(9,11),(10,11)],12)
[3,1,5,2,9,8,4,6,11,7,10,12] => ([(1,7),(2,6),(3,5),(3,6),(4,10),(4,11),(5,9),(7,8),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,5,2,11,8,4,10,6,7,9,12] => ([(1,5),(2,4),(2,5),(3,9),(3,11),(4,6),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[3,1,5,2,11,10,9,4,6,7,8,12] => ([(1,4),(2,3),(2,4),(3,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,7,6,2,4,5,10,9,12,11,8] => ([(0,7),(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(8,10),(8,11),(10,11)],12)
[3,1,7,6,2,4,5,12,11,9,10,8] => ([(0,3),(1,10),(1,11),(2,10),(2,11),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[3,1,7,6,2,4,9,5,8,12,11,10] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,10),(5,11),(6,8),(7,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,7,6,2,4,9,5,11,8,10,12] => ([(1,7),(2,6),(3,5),(3,6),(4,10),(4,11),(5,9),(7,8),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,7,6,2,4,11,10,5,8,9,12] => ([(1,5),(2,8),(2,9),(3,10),(3,11),(4,10),(4,11),(5,6),(6,8),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(10,11)],12)
[3,1,9,6,2,8,4,5,7,12,11,10] => ([(0,5),(1,2),(1,3),(2,3),(4,9),(4,11),(5,6),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[3,1,9,6,2,8,4,5,11,7,10,12] => ([(1,4),(2,3),(3,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[3,1,11,6,2,8,4,10,5,7,9,12] => ([(1,3),(2,10),(2,11),(3,6),(4,8),(4,9),(4,11),(5,8),(5,10),(5,11),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[3,1,11,6,2,10,9,4,5,7,8,12] => ([(1,2),(2,5),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,9,8,7,2,4,5,6,12,11,10] => ([(0,4),(1,2),(1,3),(2,3),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,9,8,7,2,4,5,11,6,10,12] => ([(1,4),(2,3),(3,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,11,8,7,2,4,10,5,6,9,12] => ([(1,3),(2,8),(2,11),(3,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,11,10,7,2,9,4,5,6,8,12] => ([(1,2),(2,7),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,1,11,10,9,8,2,4,5,6,7,12] => ([(1,2),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,1,2,3,8,7,10,9,12,11,6] => ([(0,5),(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],12)
[5,4,1,2,3,8,7,12,11,9,10,6] => ([(0,1),(0,11),(1,11),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(9,10),(9,11),(10,11)],12)
[5,4,1,2,3,10,9,7,8,12,11,6] => ([(0,1),(0,11),(1,11),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(9,10),(9,11),(10,11)],12)
[5,4,1,2,3,12,9,7,11,8,10,6] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(3,10),(3,11),(4,6),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(10,11)],12)
[5,4,1,2,3,12,11,10,7,8,9,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,1,2,7,3,6,10,9,12,11,8] => ([(0,7),(1,4),(1,9),(2,3),(2,9),(3,9),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(8,10),(8,11),(10,11)],12)
[5,4,1,2,7,3,6,12,11,9,10,8] => ([(0,3),(1,10),(1,11),(2,10),(2,11),(3,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[5,4,1,2,7,3,9,6,8,12,11,10] => ([(0,8),(1,2),(1,3),(2,3),(4,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,9),(9,10),(9,11),(10,11)],12)
[5,4,1,2,7,3,9,6,11,8,10,12] => ([(1,8),(2,3),(2,4),(3,7),(4,8),(5,10),(5,11),(6,10),(6,11),(7,9),(9,10),(9,11),(10,11)],12)
[5,4,1,2,7,3,11,10,6,8,9,12] => ([(1,8),(1,9),(2,8),(2,9),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[5,4,1,2,9,8,3,6,7,12,11,10] => ([(0,1),(0,2),(1,2),(3,9),(3,10),(4,7),(4,8),(5,7),(5,8),(6,9),(6,10),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,1,2,9,8,3,6,11,7,10,12] => ([(1,5),(2,8),(2,9),(3,10),(3,11),(4,10),(4,11),(5,6),(6,8),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(10,11)],12)
[5,4,1,2,11,8,3,10,6,7,9,12] => ([(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,7),(6,9),(6,10),(6,11),(7,11),(8,11),(9,10)],12)
[5,4,1,2,11,10,9,3,6,7,8,12] => ([(1,6),(1,7),(2,6),(2,7),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(7,8),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,1,6,2,3,5,10,9,12,11,8] => ([(0,3),(0,8),(1,2),(1,8),(2,8),(3,8),(4,10),(4,11),(5,9),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,11),(10,11)],12)
[7,4,1,6,2,3,5,12,11,9,10,8] => ([(0,10),(0,11),(1,9),(1,11),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(7,8),(9,11),(10,11)],12)
[7,4,1,6,2,3,9,5,8,12,11,10] => ([(0,5),(1,2),(1,3),(2,3),(4,9),(4,11),(5,6),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[7,4,1,6,2,3,9,5,11,8,10,12] => ([(1,5),(2,4),(2,5),(3,9),(3,11),(4,6),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[7,4,1,6,2,3,11,10,5,8,9,12] => ([(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,7),(6,9),(6,10),(6,11),(7,11),(8,11),(9,10)],12)
[9,4,1,6,2,8,3,5,7,12,11,10] => ([(0,1),(0,2),(1,2),(3,9),(3,11),(4,8),(4,11),(5,8),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[9,4,1,6,2,8,3,5,11,7,10,12] => ([(1,3),(2,10),(2,11),(3,6),(4,8),(4,9),(4,11),(5,8),(5,10),(5,11),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[11,4,1,6,2,8,3,10,5,7,9,12] => ([(1,10),(1,11),(2,9),(2,11),(3,7),(3,9),(3,11),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[11,4,1,6,2,10,9,3,5,7,8,12] => ([(1,7),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,11),(5,6),(5,9),(5,10),(5,11),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,1,8,7,2,3,5,6,12,11,10] => ([(0,1),(0,2),(1,2),(3,8),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,1,8,7,2,3,5,11,6,10,12] => ([(1,3),(2,8),(2,11),(3,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,1,8,7,2,3,10,5,6,9,12] => ([(1,8),(1,11),(2,7),(2,11),(3,7),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,1,10,7,2,9,3,5,6,8,12] => ([(1,6),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,1,10,9,8,2,3,5,6,7,12] => ([(1,5),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,1,2,3,4,10,9,12,11,8] => ([(0,3),(0,8),(1,2),(1,8),(2,8),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[7,6,5,1,2,3,4,12,11,9,10,8] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[7,6,5,1,2,3,9,4,8,12,11,10] => ([(0,4),(1,2),(1,3),(2,3),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,1,2,3,9,4,11,8,10,12] => ([(1,4),(2,3),(2,4),(3,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,5,1,2,3,11,10,4,8,9,12] => ([(1,6),(1,7),(2,6),(2,7),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(7,8),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,5,1,2,8,3,4,7,12,11,10] => ([(0,1),(0,2),(1,2),(3,8),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,5,1,2,8,3,4,11,7,10,12] => ([(1,2),(2,5),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,5,1,2,8,3,10,4,7,9,12] => ([(1,7),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,11),(5,6),(5,9),(5,10),(5,11),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,5,1,2,10,9,3,4,7,8,12] => ([(1,9),(1,10),(1,11),(2,7),(2,8),(2,11),(3,7),(3,8),(3,11),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,5,1,7,2,3,4,6,12,11,10] => ([(0,1),(0,2),(1,2),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,5,1,7,2,3,4,11,6,10,12] => ([(1,2),(2,7),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,5,1,7,2,3,10,4,6,9,12] => ([(1,6),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,5,1,7,2,9,3,4,6,8,12] => ([(1,9),(1,10),(1,11),(2,8),(2,10),(2,11),(3,7),(3,8),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,5,1,9,8,2,3,4,6,7,12] => ([(1,7),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,6,1,2,3,4,5,12,11,10] => ([(0,1),(0,2),(1,2),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,8,7,6,1,2,3,4,11,5,10,12] => ([(1,2),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,7,6,1,2,3,10,4,5,9,12] => ([(1,5),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,7,6,1,2,9,3,4,5,8,12] => ([(1,7),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,9,6,1,8,2,3,4,5,7,12] => ([(1,8),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,10,9,8,7,1,2,3,4,5,6,12] => ([(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,6,5,8,7,10,9,12,11,1] => ([(0,11),(1,10),(1,11),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[12,2,3,4,5,6,7,8,9,10,1,11] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,12,1,4,5,6,7,8,9,10,11,2] => ([(0,1),(0,11),(1,10),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,4,5,6,7,8,9,10,11,1,2] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,5,8,7,11,10,12,9] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,9,8,10,7,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,9,8,11,10,12,7] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,5,10,9,11,8,12,7] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,7,6,8,5,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,7,6,8,5,11,10,12,9] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,1,4,3,7,6,9,8,10,5,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,1,4,3,7,6,9,8,11,10,12,5] => ([(0,11),(1,4),(2,3),(5,10),(5,11),(6,9),(6,11),(7,8),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,4,3,7,6,10,9,11,8,12,5] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,7,9,6,10,5,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,7,9,6,11,10,12,5] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,7,10,9,11,6,12,5] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,9,8,10,7,11,6,12,5] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,4,6,3,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,4,6,3,8,7,11,10,12,9] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,1,5,4,6,3,9,8,10,7,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,1,5,4,6,3,9,8,11,10,12,7] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[2,1,5,4,6,3,10,9,11,8,12,7] => ([(0,1),(2,9),(3,11),(4,10),(4,11),(5,6),(5,9),(6,9),(7,8),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[2,1,5,4,7,6,8,3,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,1,5,4,7,6,8,3,11,10,12,9] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[2,1,5,4,7,6,9,8,10,3,12,11] => ([(0,11),(1,4),(2,3),(5,10),(5,11),(6,9),(6,11),(7,8),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,5,4,7,6,9,8,11,10,12,3] => ([(0,11),(1,2),(3,10),(3,11),(4,9),(4,11),(5,8),(5,11),(6,7),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,5,4,7,6,10,9,11,8,12,3] => ([(0,11),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,4,8,7,9,6,10,3,12,11] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,4,8,7,9,6,11,10,12,3] => ([(0,11),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,4,8,7,10,9,11,6,12,3] => ([(0,11),(1,2),(3,10),(3,11),(4,5),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,5,4,9,8,10,7,11,6,12,3] => ([(0,1),(2,11),(3,10),(3,11),(4,5),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,7,4,8,3,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,7,4,8,3,11,10,12,9] => ([(0,1),(2,9),(3,11),(4,10),(4,11),(5,6),(5,9),(6,9),(7,8),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[2,1,6,5,7,4,9,8,10,3,12,11] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,7,4,9,8,11,10,12,3] => ([(0,11),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,7,4,10,9,11,8,12,3] => ([(0,11),(1,2),(3,10),(3,11),(4,9),(4,11),(5,6),(5,9),(5,11),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,6,5,8,7,9,4,10,3,12,11] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,8,7,9,4,11,10,12,3] => ([(0,11),(1,2),(3,10),(3,11),(4,5),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,8,7,10,9,11,4,12,3] => ([(0,11),(1,2),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,5,9,8,10,7,11,4,12,3] => ([(0,1),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,7,6,8,5,9,4,10,3,12,11] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,7,6,8,5,9,4,11,10,12,3] => ([(0,1),(2,11),(3,10),(3,11),(4,5),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,7,6,8,5,10,9,11,4,12,3] => ([(0,1),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,7,6,9,8,10,5,11,4,12,3] => ([(0,11),(1,2),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,7,9,6,10,5,11,4,12,3] => ([(0,1),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,1,6,5,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,1,6,5,8,7,11,10,12,9] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[3,2,4,1,6,5,9,8,10,7,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[3,2,4,1,6,5,9,8,11,10,12,7] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[3,2,4,1,6,5,10,9,11,8,12,7] => ([(0,1),(2,9),(3,11),(4,10),(4,11),(5,6),(5,9),(6,9),(7,8),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[3,2,4,1,7,6,8,5,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[3,2,4,1,7,6,8,5,11,10,12,9] => ([(0,11),(1,10),(2,9),(3,4),(3,9),(4,9),(5,6),(5,10),(6,10),(7,8),(7,11),(8,11)],12)
[3,2,4,1,7,6,9,8,10,5,12,11] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[3,2,4,1,7,6,9,8,11,10,12,5] => ([(0,11),(1,10),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[3,2,4,1,7,6,10,9,11,8,12,5] => ([(0,9),(1,11),(2,3),(2,9),(3,9),(4,5),(4,11),(5,11),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[3,2,4,1,8,7,9,6,10,5,12,11] => ([(0,1),(2,9),(3,11),(4,10),(4,11),(5,6),(5,9),(6,9),(7,8),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[3,2,4,1,8,7,9,6,11,10,12,5] => ([(0,9),(1,11),(2,3),(2,9),(3,9),(4,5),(4,11),(5,11),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[3,2,4,1,8,7,10,9,11,6,12,5] => ([(0,9),(1,11),(2,10),(2,11),(3,4),(3,9),(4,9),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[3,2,4,1,9,8,10,7,11,6,12,5] => ([(0,6),(1,11),(2,3),(2,6),(3,6),(4,10),(4,11),(5,9),(5,10),(5,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,6,1,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[3,2,5,4,6,1,8,7,11,10,12,9] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[3,2,5,4,6,1,9,8,10,7,12,11] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[3,2,5,4,6,1,9,8,11,10,12,7] => ([(0,11),(1,10),(2,5),(2,10),(3,4),(3,10),(4,10),(5,10),(6,9),(6,11),(7,8),(7,11),(8,11),(9,11)],12)
[3,2,5,4,6,1,10,9,11,8,12,7] => ([(0,11),(1,10),(2,5),(2,10),(3,4),(3,10),(4,10),(5,10),(6,9),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,11)],12)
[3,2,5,4,7,6,8,1,10,9,12,11] => ([(0,11),(1,4),(2,3),(5,10),(5,11),(6,9),(6,11),(7,8),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,5,4,7,6,8,1,11,10,12,9] => ([(0,11),(1,10),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[3,2,5,4,7,6,9,8,10,1,12,11] => ([(0,11),(1,2),(3,10),(3,11),(4,9),(4,11),(5,8),(5,11),(6,7),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,5,4,7,6,9,8,11,10,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,5,4,7,6,10,9,11,8,12,1] => ([(0,11),(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,8,7,9,6,10,1,12,11] => ([(0,11),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,8,7,9,6,11,10,12,1] => ([(0,11),(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,8,7,10,9,11,6,12,1] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,9,8,10,7,11,6,12,1] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,6,5,7,4,8,1,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,6,5,7,4,8,1,11,10,12,9] => ([(0,9),(1,11),(2,3),(2,9),(3,9),(4,5),(4,11),(5,11),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[3,2,6,5,7,4,9,8,10,1,12,11] => ([(0,11),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,6,5,7,4,9,8,11,10,12,1] => ([(0,11),(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,6,5,7,4,10,9,11,8,12,1] => ([(0,11),(1,2),(1,11),(2,11),(3,10),(3,11),(4,9),(4,11),(5,6),(5,9),(5,11),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[3,2,6,5,8,7,9,4,10,1,12,11] => ([(0,11),(1,2),(3,10),(3,11),(4,5),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,6,5,8,7,9,4,11,10,12,1] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,6,5,8,7,10,9,11,4,12,1] => ([(0,11),(1,10),(1,11),(2,3),(2,11),(3,11),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,6,5,9,8,10,7,11,4,12,1] => ([(0,11),(1,2),(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,8,5,9,4,10,1,12,11] => ([(0,1),(2,11),(3,10),(3,11),(4,5),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,8,5,9,4,11,10,12,1] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,8,5,10,9,11,4,12,1] => ([(0,11),(1,2),(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,7,6,9,8,10,5,11,4,12,1] => ([(0,11),(1,10),(1,11),(2,3),(2,11),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,8,7,9,6,10,5,11,4,12,1] => ([(0,11),(1,2),(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,5,2,6,1,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,5,2,6,1,8,7,11,10,12,9] => ([(0,1),(2,9),(3,11),(4,10),(4,11),(5,6),(5,9),(6,9),(7,8),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[4,3,5,2,6,1,9,8,10,7,12,11] => ([(0,1),(2,9),(3,11),(4,10),(4,11),(5,6),(5,9),(6,9),(7,8),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[4,3,5,2,6,1,9,8,11,10,12,7] => ([(0,11),(1,10),(2,5),(2,10),(3,4),(3,10),(4,10),(5,10),(6,9),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,11)],12)
[4,3,5,2,6,1,10,9,11,8,12,7] => ([(0,11),(1,10),(2,8),(2,10),(3,9),(3,11),(4,5),(4,8),(4,10),(5,8),(5,10),(6,7),(6,9),(6,11),(7,9),(7,11),(8,10),(9,11)],12)
[4,3,5,2,7,6,8,1,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,7),(6,11),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,5,2,7,6,8,1,11,10,12,9] => ([(0,9),(1,11),(2,3),(2,9),(3,9),(4,5),(4,11),(5,11),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[4,3,5,2,7,6,9,8,10,1,12,11] => ([(0,11),(1,2),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,5,2,7,6,9,8,11,10,12,1] => ([(0,11),(1,6),(1,11),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,5,2,7,6,10,9,11,8,12,1] => ([(0,11),(1,2),(1,11),(2,11),(3,10),(3,11),(4,9),(4,11),(5,6),(5,9),(5,11),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[4,3,5,2,8,7,9,6,10,1,12,11] => ([(0,11),(1,2),(3,10),(3,11),(4,9),(4,11),(5,6),(5,9),(5,11),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[4,3,5,2,8,7,9,6,11,10,12,1] => ([(0,11),(1,2),(1,11),(2,11),(3,10),(3,11),(4,9),(4,11),(5,6),(5,9),(5,11),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[4,3,5,2,8,7,10,9,11,6,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,11),(3,6),(3,10),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[4,3,5,2,9,8,10,7,11,6,12,1] => ([(0,11),(1,8),(1,11),(2,10),(2,11),(3,4),(3,8),(3,11),(4,8),(4,11),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,6,5,7,2,8,1,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,6,5,7,2,8,1,11,10,12,9] => ([(0,9),(1,11),(2,10),(2,11),(3,4),(3,9),(4,9),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[4,3,6,5,7,2,9,8,10,1,12,11] => ([(0,11),(1,2),(3,10),(3,11),(4,5),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,6,5,7,2,9,8,11,10,12,1] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,6,5,7,2,10,9,11,8,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,11),(3,6),(3,10),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[4,3,6,5,8,7,9,2,10,1,12,11] => ([(0,11),(1,2),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,6,5,8,7,9,2,11,10,12,1] => ([(0,11),(1,10),(1,11),(2,3),(2,11),(3,11),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,6,5,8,7,10,9,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,6,5,9,8,10,7,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,5),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,7,6,8,5,9,2,10,1,12,11] => ([(0,1),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,7,6,8,5,9,2,11,10,12,1] => ([(0,11),(1,2),(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,7,6,8,5,10,9,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,5),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,7,6,9,8,10,5,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,3,8,7,9,6,10,5,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,6,3,7,2,8,1,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,6,3,7,2,8,1,11,10,12,9] => ([(0,6),(1,11),(2,3),(2,6),(3,6),(4,10),(4,11),(5,9),(5,10),(5,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,6,3,7,2,9,8,10,1,12,11] => ([(0,1),(2,11),(3,10),(3,11),(4,5),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,6,3,7,2,9,8,11,10,12,1] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,6,3,7,2,10,9,11,8,12,1] => ([(0,11),(1,8),(1,11),(2,10),(2,11),(3,4),(3,8),(3,11),(4,8),(4,11),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,6,3,8,7,9,2,10,1,12,11] => ([(0,1),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,6,3,8,7,9,2,11,10,12,1] => ([(0,11),(1,2),(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,6,3,8,7,10,9,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,5),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,6,3,9,8,10,7,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,5),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,7,6,8,3,9,2,10,1,12,11] => ([(0,11),(1,2),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,7,6,8,3,9,2,11,10,12,1] => ([(0,11),(1,10),(1,11),(2,3),(2,11),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,7,6,8,3,10,9,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,7,6,9,8,10,3,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,4,8,7,9,6,10,3,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,7,4,8,3,9,2,10,1,12,11] => ([(0,1),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,7,4,8,3,9,2,11,10,12,1] => ([(0,11),(1,2),(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,7,4,8,3,10,9,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,7,4,9,8,10,3,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,8,7,9,4,10,3,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,6,8,5,9,4,10,3,11,2,12,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,8,7,11,9,12,10] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(10,11)],12)
[2,1,4,3,6,5,9,7,10,8,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(10,11)],12)
[2,1,4,3,6,5,9,7,11,8,12,10] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(8,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,10,7,11,8,12,9] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,4,3,7,5,8,6,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(10,11)],12)
[2,1,4,3,7,5,8,6,11,9,12,10] => ([(0,3),(1,2),(4,11),(5,9),(6,8),(7,10),(8,9),(10,11)],12)
[2,1,4,3,7,5,9,6,10,8,12,11] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(8,10),(9,11),(10,11)],12)
[2,1,4,3,7,5,9,6,11,8,12,10] => ([(0,3),(1,2),(4,7),(5,6),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,1,4,3,7,5,10,6,11,8,12,9] => ([(0,3),(1,2),(4,10),(5,8),(6,8),(6,11),(7,9),(7,11),(9,10),(10,11)],12)
[2,1,4,3,8,5,9,6,10,7,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,4,3,8,5,9,6,11,7,12,10] => ([(0,3),(1,2),(4,10),(5,8),(6,8),(6,11),(7,9),(7,11),(9,10),(10,11)],12)
[2,1,4,3,8,5,10,6,11,7,12,9] => ([(0,3),(1,2),(4,9),(5,8),(6,8),(6,11),(7,9),(7,10),(8,10),(9,11),(10,11)],12)
[2,1,4,3,9,5,10,6,11,7,12,8] => ([(0,3),(1,2),(4,11),(5,10),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,5,3,6,4,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(10,11)],12)
[2,1,5,3,6,4,8,7,11,9,12,10] => ([(0,3),(1,2),(4,11),(5,9),(6,8),(7,10),(8,9),(10,11)],12)
[2,1,5,3,6,4,9,7,10,8,12,11] => ([(0,3),(1,2),(4,11),(5,9),(6,8),(7,10),(8,9),(10,11)],12)
[2,1,5,3,6,4,9,7,11,8,12,10] => ([(0,1),(2,7),(3,6),(4,9),(5,8),(6,7),(8,10),(9,11),(10,11)],12)
[2,1,5,3,6,4,10,7,11,8,12,9] => ([(0,1),(2,11),(3,10),(4,7),(5,6),(6,7),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,5,3,7,4,8,6,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(8,10),(9,11),(10,11)],12)
[2,1,5,3,7,4,8,6,11,9,12,10] => ([(0,1),(2,7),(3,6),(4,9),(5,8),(6,7),(8,10),(9,11),(10,11)],12)
[2,1,5,3,7,4,9,6,10,8,12,11] => ([(0,3),(1,2),(4,7),(5,6),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,1,5,3,7,4,9,6,11,8,12,10] => ([(0,11),(1,10),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12)
[2,1,5,3,7,4,10,6,11,8,12,9] => ([(0,11),(1,9),(2,3),(4,6),(4,7),(5,8),(5,11),(6,9),(7,10),(8,10),(10,11)],12)
[2,1,5,3,8,4,9,6,10,7,12,11] => ([(0,3),(1,2),(4,10),(5,8),(6,8),(6,11),(7,9),(7,11),(9,10),(10,11)],12)
[2,1,5,3,8,4,9,6,11,7,12,10] => ([(0,9),(1,8),(2,3),(4,5),(4,10),(5,11),(6,8),(6,10),(7,9),(7,11),(10,11)],12)
[2,1,5,3,8,4,10,6,11,7,12,9] => ([(0,1),(2,9),(3,6),(4,8),(4,11),(5,9),(5,10),(6,7),(7,8),(8,10),(9,11),(10,11)],12)
[2,1,5,3,9,4,10,6,11,7,12,8] => ([(0,1),(2,11),(3,6),(4,9),(4,10),(5,8),(5,11),(6,7),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,6,3,7,4,8,5,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,6,3,7,4,8,5,11,9,12,10] => ([(0,1),(2,11),(3,10),(4,7),(5,6),(6,7),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,6,3,7,4,9,5,10,8,12,11] => ([(0,3),(1,2),(4,10),(5,8),(6,8),(6,11),(7,9),(7,11),(9,10),(10,11)],12)
[2,1,6,3,7,4,9,5,11,8,12,10] => ([(0,11),(1,9),(2,3),(4,6),(4,7),(5,8),(5,11),(6,9),(7,10),(8,10),(10,11)],12)
[2,1,6,3,7,4,10,5,11,8,12,9] => ([(0,1),(2,9),(3,8),(4,6),(4,8),(5,7),(5,9),(6,10),(7,11),(8,10),(9,11),(10,11)],12)
[2,1,6,3,8,4,9,5,10,7,12,11] => ([(0,3),(1,2),(4,9),(5,8),(6,8),(6,11),(7,9),(7,10),(8,10),(9,11),(10,11)],12)
[2,1,6,3,8,4,9,5,11,7,12,10] => ([(0,1),(2,9),(3,6),(4,8),(4,11),(5,9),(5,10),(6,7),(7,8),(8,10),(9,11),(10,11)],12)
[2,1,6,3,8,4,10,5,11,7,12,9] => ([(0,11),(1,10),(2,3),(4,8),(4,10),(5,9),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9)],12)
[2,1,6,3,9,4,10,5,11,7,12,8] => ([(0,1),(2,8),(3,11),(4,9),(4,11),(5,8),(5,10),(6,7),(6,9),(6,11),(7,8),(7,10),(9,10),(10,11)],12)
[2,1,7,3,8,4,9,5,10,6,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,7,3,8,4,9,5,11,6,12,10] => ([(0,1),(2,11),(3,6),(4,9),(4,10),(5,8),(5,11),(6,7),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[2,1,7,3,8,4,10,5,11,6,12,9] => ([(0,1),(2,8),(3,11),(4,9),(4,11),(5,8),(5,10),(6,7),(6,9),(6,11),(7,8),(7,10),(9,10),(10,11)],12)
[2,1,7,3,9,4,10,5,11,6,12,8] => ([(0,1),(2,9),(3,8),(4,8),(4,11),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,10),(9,11),(10,11)],12)
[2,1,8,3,9,4,10,5,11,6,12,7] => ([(0,1),(2,11),(3,10),(4,9),(4,10),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,1,4,2,6,5,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(10,11)],12)
[3,1,4,2,6,5,8,7,11,9,12,10] => ([(0,3),(1,2),(4,11),(5,9),(6,8),(7,10),(8,9),(10,11)],12)
[3,1,4,2,6,5,9,7,10,8,12,11] => ([(0,3),(1,2),(4,11),(5,9),(6,8),(7,10),(8,9),(10,11)],12)
[3,1,4,2,6,5,9,7,11,8,12,10] => ([(0,1),(2,7),(3,6),(4,9),(5,8),(6,7),(8,10),(9,11),(10,11)],12)
[3,1,4,2,6,5,10,7,11,8,12,9] => ([(0,1),(2,11),(3,10),(4,7),(5,6),(6,7),(8,9),(8,10),(9,11),(10,11)],12)
[3,1,4,2,7,5,8,6,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,9),(6,8),(7,10),(8,9),(10,11)],12)
[3,1,4,2,7,5,8,6,11,9,12,10] => ([(0,11),(1,9),(2,7),(3,6),(4,8),(5,10),(6,7),(8,9),(10,11)],12)
[3,1,4,2,7,5,9,6,10,8,12,11] => ([(0,1),(2,7),(3,6),(4,9),(5,8),(6,7),(8,10),(9,11),(10,11)],12)
[3,1,4,2,7,5,9,6,11,8,12,10] => ([(0,9),(1,8),(2,11),(3,10),(4,5),(4,6),(5,7),(6,8),(7,9),(10,11)],12)
[3,1,4,2,7,5,10,6,11,8,12,9] => ([(0,11),(1,9),(2,8),(3,7),(4,5),(4,11),(5,10),(6,7),(6,10),(8,9),(10,11)],12)
[3,1,4,2,8,5,9,6,10,7,12,11] => ([(0,1),(2,11),(3,10),(4,7),(5,6),(6,7),(8,9),(8,10),(9,11),(10,11)],12)
[3,1,4,2,8,5,9,6,11,7,12,10] => ([(0,11),(1,9),(2,8),(3,7),(4,5),(4,11),(5,10),(6,7),(6,10),(8,9),(10,11)],12)
[3,1,4,2,8,5,10,6,11,7,12,9] => ([(0,9),(1,8),(2,7),(3,6),(4,8),(4,11),(5,9),(5,10),(6,7),(8,10),(9,11),(10,11)],12)
[3,1,4,2,9,5,10,6,11,7,12,8] => ([(0,11),(1,10),(2,7),(3,6),(4,9),(4,10),(5,8),(5,11),(6,7),(8,9),(8,10),(9,11),(10,11)],12)
[3,1,5,2,6,4,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(7,8),(8,10),(9,11),(10,11)],12)
[3,1,5,2,6,4,8,7,11,9,12,10] => ([(0,1),(2,7),(3,6),(4,9),(5,8),(6,7),(8,10),(9,11),(10,11)],12)
[3,1,5,2,6,4,9,7,10,8,12,11] => ([(0,1),(2,7),(3,6),(4,9),(5,8),(6,7),(8,10),(9,11),(10,11)],12)
[3,1,5,2,6,4,9,7,11,8,12,10] => ([(0,11),(1,9),(2,8),(3,10),(4,5),(4,8),(5,9),(6,7),(6,10),(7,11)],12)
[3,1,5,2,6,4,10,7,11,8,12,9] => ([(0,9),(1,8),(2,11),(3,10),(4,5),(4,8),(5,9),(6,7),(6,10),(7,11),(10,11)],12)
[3,1,5,2,7,4,8,6,10,9,12,11] => ([(0,3),(1,2),(4,7),(5,6),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[3,1,5,2,7,4,8,6,11,9,12,10] => ([(0,9),(1,8),(2,11),(3,10),(4,5),(4,6),(5,7),(6,8),(7,9),(10,11)],12)
[3,1,5,2,7,4,9,6,10,8,12,11] => ([(0,11),(1,10),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12)
[3,1,5,2,7,4,9,6,11,8,12,10] => ([(0,11),(1,10),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12)
[3,1,5,2,7,4,10,6,11,8,12,9] => ([(0,11),(1,9),(2,3),(2,4),(3,6),(4,7),(5,8),(5,11),(6,9),(7,10),(8,10),(10,11)],12)
[3,1,5,2,8,4,9,6,10,7,12,11] => ([(0,11),(1,9),(2,3),(4,6),(4,7),(5,8),(5,11),(6,9),(7,10),(8,10),(10,11)],12)
[3,1,5,2,8,4,9,6,11,7,12,10] => ([(0,8),(1,9),(2,3),(2,6),(3,9),(4,5),(4,10),(5,11),(6,10),(7,8),(7,11),(10,11)],12)
[3,1,5,2,8,4,10,6,11,7,12,9] => ([(0,11),(1,7),(2,3),(2,4),(3,7),(4,8),(5,10),(5,11),(6,8),(6,9),(8,10),(9,10),(9,11)],12)
[3,1,5,2,9,4,10,6,11,7,12,8] => ([(0,11),(1,7),(2,3),(2,4),(3,7),(4,10),(5,9),(5,11),(6,8),(6,10),(8,9),(8,11),(9,10),(10,11)],12)
[3,1,6,2,7,4,8,5,10,9,12,11] => ([(0,3),(1,2),(4,10),(5,8),(6,8),(6,11),(7,9),(7,11),(9,10),(10,11)],12)
[3,1,6,2,7,4,8,5,11,9,12,10] => ([(0,11),(1,9),(2,8),(3,7),(4,5),(4,11),(5,10),(6,7),(6,10),(8,9),(10,11)],12)
[3,1,6,2,7,4,9,5,10,8,12,11] => ([(0,9),(1,8),(2,3),(4,5),(4,10),(5,11),(6,8),(6,10),(7,9),(7,11),(10,11)],12)
[3,1,6,2,7,4,9,5,11,8,12,10] => ([(0,8),(1,9),(2,3),(2,6),(3,9),(4,5),(4,10),(5,11),(6,10),(7,8),(7,11),(10,11)],12)
[3,1,6,2,7,4,10,5,11,8,12,9] => ([(0,11),(1,7),(2,5),(2,11),(3,4),(3,8),(4,10),(5,9),(6,7),(6,8),(8,10),(9,10),(9,11)],12)
[3,1,6,2,8,4,9,5,10,7,12,11] => ([(0,1),(2,9),(3,6),(4,8),(4,11),(5,9),(5,10),(6,7),(7,8),(8,10),(9,11),(10,11)],12)
[3,1,6,2,8,4,9,5,11,7,12,10] => ([(0,7),(1,6),(2,6),(2,8),(3,7),(3,9),(4,8),(4,11),(5,9),(5,10),(8,10),(9,11),(10,11)],12)
[3,1,6,2,8,4,10,5,11,7,12,9] => ([(0,11),(1,5),(2,8),(2,10),(3,9),(3,11),(4,5),(4,10),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9)],12)
[3,1,6,2,9,4,10,5,11,7,12,8] => ([(0,11),(1,5),(2,7),(2,11),(3,5),(3,6),(4,6),(4,10),(6,9),(7,8),(7,10),(8,9),(8,11),(9,10),(10,11)],12)
[3,1,7,2,8,4,9,5,10,6,12,11] => ([(0,1),(2,11),(3,6),(4,9),(4,10),(5,8),(5,11),(6,7),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[3,1,7,2,8,4,9,5,11,6,12,10] => ([(0,7),(1,6),(2,6),(2,10),(3,7),(3,11),(4,9),(4,10),(5,8),(5,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,1,7,2,8,4,10,5,11,6,12,9] => ([(0,9),(1,5),(2,9),(2,11),(3,5),(3,10),(4,6),(4,10),(6,8),(6,11),(7,8),(7,9),(7,11),(8,10),(10,11)],12)
[3,1,7,2,9,4,10,5,11,6,12,8] => ([(0,11),(1,5),(2,10),(2,11),(3,5),(3,8),(4,8),(4,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(9,10),(9,11)],12)
[3,1,8,2,9,4,10,5,11,6,12,7] => ([(0,11),(1,5),(2,5),(2,10),(3,9),(3,11),(4,8),(4,10),(6,7),(6,9),(6,11),(7,8),(7,10),(8,9),(8,11),(9,10),(10,11)],12)
[4,1,5,2,6,3,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[4,1,5,2,6,3,8,7,11,9,12,10] => ([(0,1),(2,11),(3,10),(4,7),(5,6),(6,7),(8,9),(8,10),(9,11),(10,11)],12)
[4,1,5,2,6,3,9,7,10,8,12,11] => ([(0,1),(2,11),(3,10),(4,7),(5,6),(6,7),(8,9),(8,10),(9,11),(10,11)],12)
[4,1,5,2,6,3,9,7,11,8,12,10] => ([(0,9),(1,8),(2,11),(3,10),(4,5),(4,8),(5,9),(6,7),(6,10),(7,11),(10,11)],12)
[4,1,5,2,6,3,10,7,11,8,12,9] => ([(0,11),(1,9),(2,8),(3,10),(4,5),(4,8),(5,9),(6,7),(6,10),(7,11),(8,9),(10,11)],12)
[4,1,5,2,7,3,8,6,10,9,12,11] => ([(0,3),(1,2),(4,10),(5,8),(6,8),(6,11),(7,9),(7,11),(9,10),(10,11)],12)
[4,1,5,2,7,3,8,6,11,9,12,10] => ([(0,11),(1,9),(2,8),(3,7),(4,5),(4,11),(5,10),(6,7),(6,10),(8,9),(10,11)],12)
[4,1,5,2,7,3,9,6,10,8,12,11] => ([(0,11),(1,9),(2,3),(4,6),(4,7),(5,8),(5,11),(6,9),(7,10),(8,10),(10,11)],12)
[4,1,5,2,7,3,9,6,11,8,12,10] => ([(0,11),(1,9),(2,3),(2,4),(3,6),(4,7),(5,8),(5,11),(6,9),(7,10),(8,10),(10,11)],12)
[4,1,5,2,7,3,10,6,11,8,12,9] => ([(0,11),(1,10),(2,6),(2,10),(3,7),(3,11),(4,5),(4,8),(5,9),(6,8),(7,9),(8,10),(9,11)],12)
[4,1,5,2,8,3,9,6,10,7,12,11] => ([(0,1),(2,9),(3,8),(4,6),(4,8),(5,7),(5,9),(6,10),(7,11),(8,10),(9,11),(10,11)],12)
[4,1,5,2,8,3,9,6,11,7,12,10] => ([(0,11),(1,7),(2,5),(2,11),(3,4),(3,8),(4,10),(5,9),(6,7),(6,8),(8,10),(9,10),(9,11)],12)
[4,1,5,2,8,3,10,6,11,7,12,9] => ([(0,11),(1,10),(2,8),(2,9),(3,7),(3,11),(4,5),(4,6),(5,10),(6,9),(6,10),(7,8),(7,9),(8,11)],12)
[4,1,5,2,9,3,10,6,11,7,12,8] => ([(0,11),(1,9),(2,3),(2,9),(3,6),(4,8),(4,11),(5,7),(5,10),(6,9),(6,10),(7,8),(7,11),(8,10),(10,11)],12)
[4,1,6,2,7,3,8,5,10,9,12,11] => ([(0,3),(1,2),(4,9),(5,8),(6,8),(6,11),(7,9),(7,10),(8,10),(9,11),(10,11)],12)
[4,1,6,2,7,3,8,5,11,9,12,10] => ([(0,9),(1,8),(2,7),(3,6),(4,8),(4,11),(5,9),(5,10),(6,7),(8,10),(9,11),(10,11)],12)
[4,1,6,2,7,3,9,5,10,8,12,11] => ([(0,1),(2,9),(3,6),(4,8),(4,11),(5,9),(5,10),(6,7),(7,8),(8,10),(9,11),(10,11)],12)
[4,1,6,2,7,3,9,5,11,8,12,10] => ([(0,11),(1,7),(2,3),(2,4),(3,7),(4,8),(5,10),(5,11),(6,8),(6,9),(8,10),(9,10),(9,11)],12)
[4,1,6,2,7,3,10,5,11,8,12,9] => ([(0,11),(1,10),(2,8),(2,9),(3,7),(3,11),(4,5),(4,6),(5,10),(6,9),(6,10),(7,8),(7,9),(8,11)],12)
[4,1,6,2,8,3,9,5,10,7,12,11] => ([(0,11),(1,10),(2,3),(4,8),(4,10),(5,9),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9)],12)
[4,1,6,2,8,3,9,5,11,7,12,10] => ([(0,11),(1,5),(2,8),(2,10),(3,9),(3,11),(4,5),(4,10),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9)],12)
[4,1,6,2,8,3,10,5,11,7,12,9] => ([(0,11),(1,10),(2,8),(2,10),(3,9),(3,11),(4,5),(4,6),(4,9),(5,7),(5,8),(6,8),(6,10),(7,9),(7,11)],12)
[4,1,6,2,9,3,10,5,11,7,12,8] => ([(0,11),(1,9),(2,8),(2,11),(3,7),(3,9),(4,5),(4,8),(4,11),(5,7),(5,10),(6,7),(6,9),(6,10),(8,10),(10,11)],12)
[4,1,7,2,8,3,9,5,10,6,12,11] => ([(0,1),(2,8),(3,11),(4,9),(4,11),(5,8),(5,10),(6,7),(6,9),(6,11),(7,8),(7,10),(9,10),(10,11)],12)
[4,1,7,2,8,3,9,5,11,6,12,10] => ([(0,9),(1,5),(2,9),(2,11),(3,5),(3,10),(4,6),(4,10),(6,8),(6,11),(7,8),(7,9),(7,11),(8,10),(10,11)],12)
[4,1,7,2,8,3,10,5,11,6,12,9] => ([(0,9),(1,8),(2,8),(2,10),(3,9),(3,11),(4,5),(4,6),(4,11),(5,7),(5,10),(6,8),(6,10),(7,9),(7,11),(10,11)],12)
[4,1,7,2,9,3,10,5,11,6,12,8] => ([(0,11),(1,7),(2,10),(2,11),(3,7),(3,9),(4,5),(4,8),(4,9),(5,10),(5,11),(6,7),(6,8),(6,9),(8,10),(8,11),(9,10)],12)
[4,1,8,2,9,3,10,5,11,6,12,7] => ([(0,11),(1,7),(2,9),(2,11),(3,7),(3,10),(4,5),(4,9),(4,11),(5,8),(5,10),(6,7),(6,8),(6,10),(8,9),(8,11),(9,10),(10,11)],12)
[5,1,6,2,7,3,8,4,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[5,1,6,2,7,3,8,4,11,9,12,10] => ([(0,11),(1,10),(2,7),(3,6),(4,9),(4,10),(5,8),(5,11),(6,7),(8,9),(8,10),(9,11),(10,11)],12)
[5,1,6,2,7,3,9,4,10,8,12,11] => ([(0,1),(2,11),(3,6),(4,9),(4,10),(5,8),(5,11),(6,7),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[5,1,6,2,7,3,9,4,11,8,12,10] => ([(0,11),(1,7),(2,3),(2,4),(3,7),(4,10),(5,9),(5,11),(6,8),(6,10),(8,9),(8,11),(9,10),(10,11)],12)
[5,1,6,2,7,3,10,4,11,8,12,9] => ([(0,11),(1,9),(2,3),(2,9),(3,6),(4,8),(4,11),(5,7),(5,10),(6,9),(6,10),(7,8),(7,11),(8,10),(10,11)],12)
[5,1,6,2,8,3,9,4,10,7,12,11] => ([(0,1),(2,8),(3,11),(4,9),(4,11),(5,8),(5,10),(6,7),(6,9),(6,11),(7,8),(7,10),(9,10),(10,11)],12)
[5,1,6,2,8,3,9,4,11,7,12,10] => ([(0,11),(1,5),(2,7),(2,11),(3,5),(3,6),(4,6),(4,10),(6,9),(7,8),(7,10),(8,9),(8,11),(9,10),(10,11)],12)
[5,1,6,2,8,3,10,4,11,7,12,9] => ([(0,11),(1,9),(2,8),(2,11),(3,7),(3,9),(4,5),(4,8),(4,11),(5,7),(5,10),(6,7),(6,9),(6,10),(8,10),(10,11)],12)
[5,1,6,2,9,3,10,4,11,7,12,8] => ([(0,11),(1,10),(2,6),(2,10),(3,7),(3,11),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,8),(7,9),(8,9),(8,10),(9,11)],12)
[5,1,7,2,8,3,9,4,10,6,12,11] => ([(0,1),(2,9),(3,8),(4,8),(4,11),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,10),(9,11),(10,11)],12)
[5,1,7,2,8,3,9,4,11,6,12,10] => ([(0,11),(1,5),(2,10),(2,11),(3,5),(3,8),(4,8),(4,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(9,10),(9,11)],12)
[5,1,7,2,8,3,10,4,11,6,12,9] => ([(0,11),(1,7),(2,10),(2,11),(3,7),(3,9),(4,5),(4,8),(4,9),(5,10),(5,11),(6,7),(6,8),(6,9),(8,10),(8,11),(9,10)],12)
[5,1,7,2,9,3,10,4,11,6,12,8] => ([(0,11),(1,10),(2,8),(2,10),(3,9),(3,11),(4,7),(4,8),(4,10),(5,6),(5,9),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9)],12)
[5,1,8,2,9,3,10,4,11,6,12,7] => ([(0,11),(1,9),(2,8),(2,11),(3,9),(3,10),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,10),(10,11)],12)
[6,1,7,2,8,3,9,4,10,5,12,11] => ([(0,1),(2,11),(3,10),(4,9),(4,10),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[6,1,7,2,8,3,9,4,11,5,12,10] => ([(0,11),(1,5),(2,5),(2,10),(3,9),(3,11),(4,8),(4,10),(6,7),(6,9),(6,11),(7,8),(7,10),(8,9),(8,11),(9,10),(10,11)],12)
[6,1,7,2,8,3,10,4,11,5,12,9] => ([(0,11),(1,7),(2,9),(2,11),(3,7),(3,10),(4,5),(4,9),(4,11),(5,8),(5,10),(6,7),(6,8),(6,10),(8,9),(8,11),(9,10),(10,11)],12)
[6,1,7,2,9,3,10,4,11,5,12,8] => ([(0,11),(1,9),(2,8),(2,11),(3,9),(3,10),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,10),(10,11)],12)
[6,1,8,2,9,3,10,4,11,5,12,7] => ([(0,11),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11)],12)
[1,8,2,9,3,10,4,11,5,12,6,7] => ([(1,11),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[1,8,2,9,3,10,4,11,12,5,6,7] => ([(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,2,9,3,10,11,4,5,12,6,7] => ([(1,11),(2,10),(2,11),(3,8),(3,9),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,2,9,3,10,11,4,12,5,6,7] => ([(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,2,9,3,10,11,12,4,5,6,7] => ([(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,2,9,10,3,4,11,5,12,6,7] => ([(1,11),(2,9),(2,10),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,8,2,9,10,3,4,11,12,5,6,7] => ([(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[1,8,2,9,10,3,11,4,5,12,6,7] => ([(1,11),(2,9),(2,10),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,8,2,9,10,3,11,4,12,5,6,7] => ([(1,11),(2,8),(2,9),(2,10),(3,6),(3,7),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[1,8,2,9,10,3,11,12,4,5,6,7] => ([(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,2,9,10,11,3,4,5,12,6,7] => ([(1,11),(2,9),(2,10),(3,6),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,8,2,9,10,11,3,4,12,5,6,7] => ([(1,11),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[1,8,2,9,10,11,3,12,4,5,6,7] => ([(1,11),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[1,8,2,9,10,11,12,3,4,5,6,7] => ([(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,8,9,2,3,10,4,11,5,12,6,7] => ([(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,3,10,4,11,12,5,6,7] => ([(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,3,10,11,4,5,12,6,7] => ([(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,3,10,11,4,12,5,6,7] => ([(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,3,10,11,12,4,5,6,7] => ([(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,10,3,4,11,5,12,6,7] => ([(1,10),(1,11),(2,8),(2,9),(3,7),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,10,3,4,11,12,5,6,7] => ([(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,2,10,3,11,4,5,12,6,7] => ([(1,10),(1,11),(2,8),(2,9),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,10,3,11,4,12,5,6,7] => ([(1,10),(1,11),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,10,3,11,12,4,5,6,7] => ([(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,2,10,11,3,4,5,12,6,7] => ([(1,8),(1,9),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,10,11,3,4,12,5,6,7] => ([(1,10),(1,11),(2,7),(2,8),(2,9),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,10,11,3,12,4,5,6,7] => ([(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,2,10,11,12,3,4,5,6,7] => ([(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[1,8,9,10,2,3,4,11,5,12,6,7] => ([(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,10,2,3,4,11,12,5,6,7] => ([(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,10,2,3,11,4,5,12,6,7] => ([(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,10,2,3,11,4,12,5,6,7] => ([(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,10,2,3,11,12,4,5,6,7] => ([(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,10,2,11,3,4,5,12,6,7] => ([(1,7),(1,8),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,10,2,11,3,4,12,5,6,7] => ([(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,10,2,11,3,12,4,5,6,7] => ([(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,10,2,11,12,3,4,5,6,7] => ([(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[1,8,9,10,11,2,3,4,5,12,6,7] => ([(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[1,8,9,10,11,2,3,4,12,5,6,7] => ([(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[1,8,9,10,11,2,3,12,4,5,6,7] => ([(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[1,8,9,10,11,2,12,3,4,5,6,7] => ([(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[1,8,9,10,11,12,2,3,4,5,6,7] => ([(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[8,1,2,9,3,10,4,11,5,12,6,7] => ([(0,11),(1,11),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[8,1,2,9,3,10,4,11,12,5,6,7] => ([(0,11),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,2,9,3,10,11,4,5,12,6,7] => ([(0,11),(1,11),(2,10),(2,11),(3,8),(3,9),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,2,9,3,10,11,4,12,5,6,7] => ([(0,11),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,2,9,3,10,11,12,4,5,6,7] => ([(0,11),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,2,9,10,3,4,11,5,12,6,7] => ([(0,11),(1,11),(2,9),(2,10),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,1,2,9,10,3,4,11,12,5,6,7] => ([(0,11),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,1,2,9,10,3,11,4,5,12,6,7] => ([(0,11),(1,11),(2,9),(2,10),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,1,2,9,10,3,11,4,12,5,6,7] => ([(0,11),(1,11),(2,8),(2,9),(2,10),(3,6),(3,7),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,1,2,9,10,3,11,12,4,5,6,7] => ([(0,11),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,2,9,10,11,3,4,5,12,6,7] => ([(0,11),(1,11),(2,9),(2,10),(3,6),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,1,2,9,10,11,3,4,12,5,6,7] => ([(0,11),(1,11),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,1,2,9,10,11,3,12,4,5,6,7] => ([(0,11),(1,11),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,1,2,9,10,11,12,3,4,5,6,7] => ([(0,11),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,1,9,2,3,10,4,11,5,12,6,7] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,3,10,4,11,12,5,6,7] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,3,10,11,4,5,12,6,7] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,3,10,11,4,12,5,6,7] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,3,10,11,12,4,5,6,7] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,10,3,4,11,5,12,6,7] => ([(0,11),(1,10),(1,11),(2,8),(2,9),(3,7),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,10,3,4,11,12,5,6,7] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,2,10,3,11,4,5,12,6,7] => ([(0,11),(1,10),(1,11),(2,8),(2,9),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,10,3,11,4,12,5,6,7] => ([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,10,3,11,12,4,5,6,7] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,2,10,11,3,4,5,12,6,7] => ([(0,11),(1,8),(1,9),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,10,11,3,4,12,5,6,7] => ([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,10,11,3,12,4,5,6,7] => ([(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,2,10,11,12,3,4,5,6,7] => ([(0,11),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,1,9,10,2,3,4,11,5,12,6,7] => ([(0,11),(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,10,2,3,4,11,12,5,6,7] => ([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,10,2,3,11,4,5,12,6,7] => ([(0,11),(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,10,2,3,11,4,12,5,6,7] => ([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,10,2,3,11,12,4,5,6,7] => ([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,10,2,11,3,4,5,12,6,7] => ([(0,11),(1,7),(1,8),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,10,2,11,3,4,12,5,6,7] => ([(0,11),(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,10,2,11,3,12,4,5,6,7] => ([(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,10,2,11,12,3,4,5,6,7] => ([(0,11),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,10,11,2,3,4,5,12,6,7] => ([(0,11),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,1,9,10,11,2,3,4,12,5,6,7] => ([(0,11),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,1,9,10,11,2,3,12,4,5,6,7] => ([(0,11),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,1,9,10,11,2,12,3,4,5,6,7] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,1,9,10,11,12,2,3,4,5,6,7] => ([(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[8,9,1,2,3,10,4,11,5,12,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,1,2,3,10,4,11,12,5,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,1,2,3,10,11,4,5,12,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,1,2,3,10,11,4,12,5,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,1,2,3,10,11,12,4,5,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,1,2,10,3,4,11,5,12,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,2,10,3,4,11,12,5,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,2,10,3,11,4,5,12,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,2,10,3,11,4,12,5,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,1,2,10,3,11,12,4,5,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,2,10,11,3,4,5,12,6,7] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,1,2,10,11,3,4,12,5,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,1,2,10,11,3,12,4,5,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,1,2,10,11,12,3,4,5,6,7] => ([(0,10),(0,11),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,1,10,2,3,4,11,5,12,6,7] => ([(0,10),(0,11),(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,10,2,3,4,11,12,5,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,10,2,3,11,4,5,12,6,7] => ([(0,10),(0,11),(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,10,2,3,11,4,12,5,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,10,2,3,11,12,4,5,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,10,2,11,3,4,5,12,6,7] => ([(0,10),(0,11),(1,7),(1,8),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,10,2,11,3,4,12,5,6,7] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,10,2,11,3,12,4,5,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,10,2,11,12,3,4,5,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,1,10,11,2,3,4,5,12,6,7] => ([(0,10),(0,11),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,1,10,11,2,3,4,12,5,6,7] => ([(0,10),(0,11),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,1,10,11,2,3,12,4,5,6,7] => ([(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,1,10,11,2,12,3,4,5,6,7] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,1,10,11,12,2,3,4,5,6,7] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[8,9,10,1,2,3,4,11,5,12,6,7] => ([(0,7),(0,8),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,10,1,2,3,4,11,12,5,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,10,1,2,3,11,4,5,12,6,7] => ([(0,7),(0,8),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,10,1,2,3,11,4,12,5,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,10,1,2,3,11,12,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,10,1,2,11,3,4,5,12,6,7] => ([(0,7),(0,8),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,10,1,2,11,3,4,12,5,6,7] => ([(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,10,1,2,11,3,12,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,10,1,2,11,12,3,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,9,10,1,11,2,3,4,5,12,6,7] => ([(0,6),(0,7),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,10,1,11,2,3,4,12,5,6,7] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,10,1,11,2,3,12,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,10,1,11,2,12,3,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,10,1,11,12,2,3,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[8,9,10,11,1,2,3,4,5,12,6,7] => ([(0,6),(0,7),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,10,11,1,2,3,4,12,5,6,7] => ([(0,5),(0,6),(0,7),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,10,11,1,2,3,12,4,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,10,11,1,2,12,3,4,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,10,11,1,12,2,3,4,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[8,9,10,11,12,1,2,3,4,5,6,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[12,10,8,6,4,2,1,3,5,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,6,4,2,1,3,5,7,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,10,6,4,2,1,3,5,8,7,11] => ([(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,9,12,6,4,2,1,3,5,8,10,7] => ([(0,4),(0,10),(0,11),(1,4),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[10,11,12,6,4,2,1,3,5,9,8,7] => ([(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,7,8,4,2,1,3,6,5,9,11] => ([(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,8,4,2,1,3,6,5,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,7,10,4,2,1,3,6,8,5,11] => ([(0,11),(1,6),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[11,9,7,12,4,2,1,3,6,8,10,5] => ([(0,7),(0,9),(0,11),(1,7),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[10,11,7,12,4,2,1,3,6,9,8,5] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,6),(1,8),(1,10),(1,11),(2,6),(2,8),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(9,10),(9,11)],12)
[12,8,9,10,4,2,1,3,7,6,5,11] => ([(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[11,8,9,12,4,2,1,3,7,6,10,5] => ([(0,7),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11)],12)
[10,8,11,12,4,2,1,3,7,9,6,5] => ([(0,5),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,8),(2,9),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11)],12)
[9,10,11,12,4,2,1,3,8,7,6,5] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[12,10,8,5,6,2,1,4,3,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,5,6,2,1,4,3,7,10,9] => ([(0,9),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,10,5,6,2,1,4,3,8,7,11] => ([(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,9,12,5,6,2,1,4,3,8,10,7] => ([(0,2),(0,10),(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[10,11,12,5,6,2,1,4,3,9,8,7] => ([(0,1),(0,2),(0,9),(0,10),(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,7,5,8,2,1,4,6,3,9,11] => ([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,5,8,2,1,4,6,3,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,7,5,10,2,1,4,6,8,3,11] => ([(0,11),(1,7),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,7,5,12,2,1,4,6,8,10,3] => ([(0,7),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,11,7,5,12,2,1,4,6,9,8,3] => ([(0,1),(0,6),(0,9),(0,10),(0,11),(1,6),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,9),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,8,9,5,10,2,1,4,7,6,3,11] => ([(0,11),(1,2),(1,6),(1,8),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,9,5,12,2,1,4,7,6,10,3] => ([(0,7),(0,10),(0,11),(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,11,5,12,2,1,4,7,9,6,3] => ([(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,8),(1,9),(1,10),(2,5),(2,6),(2,8),(2,9),(2,10),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[9,10,11,5,12,2,1,4,8,7,6,3] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[12,10,6,7,8,2,1,5,4,3,9,11] => ([(0,11),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,6,7,8,2,1,5,4,3,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,6,7,10,2,1,5,4,8,3,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,6,7,12,2,1,5,4,8,10,3] => ([(0,8),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,7),(2,8),(2,9),(2,11),(3,6),(3,7),(3,8),(3,9),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(9,10),(9,11),(10,11)],12)
[10,11,6,7,12,2,1,5,4,9,8,3] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[12,8,6,9,10,2,1,5,7,4,3,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,10),(2,11),(3,5),(3,6),(3,7),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,6,9,12,2,1,5,7,4,10,3] => ([(0,7),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,9),(2,11),(3,5),(3,6),(3,7),(3,9),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,6,11,12,2,1,5,7,9,4,3] => ([(0,6),(0,7),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,10,6,11,12,2,1,5,8,7,4,3] => ([(0,1),(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,8,9,10,2,1,6,5,4,3,11] => ([(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,11),(2,3),(2,4),(2,5),(2,6),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,8,9,12,2,1,6,5,4,10,3] => ([(0,6),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,11),(2,3),(2,4),(2,5),(2,6),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,8,11,12,2,1,6,5,9,4,3] => ([(0,5),(0,6),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,11),(2,3),(2,4),(2,5),(2,6),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,10,11,12,2,1,6,8,5,4,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(1,3),(1,4),(1,5),(1,6),(1,8),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,10,11,12,2,1,7,6,5,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,6,3,4,2,1,5,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,6,3,4,2,1,5,7,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,10,6,3,4,2,1,5,8,7,11] => ([(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,9,12,6,3,4,2,1,5,8,10,7] => ([(0,3),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[10,11,12,6,3,4,2,1,5,9,8,7] => ([(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,9),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,7,8,3,4,2,1,6,5,9,11] => ([(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,8,3,4,2,1,6,5,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,7,10,3,4,2,1,6,8,5,11] => ([(0,11),(1,5),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[11,9,7,12,3,4,2,1,6,8,10,5] => ([(0,7),(0,9),(0,11),(1,7),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[10,11,7,12,3,4,2,1,6,9,8,5] => ([(0,1),(0,5),(0,8),(0,10),(0,11),(1,5),(1,8),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(9,10),(9,11)],12)
[12,8,9,10,3,4,2,1,7,6,5,11] => ([(0,11),(1,2),(1,3),(1,8),(1,9),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[11,8,9,12,3,4,2,1,7,6,10,5] => ([(0,7),(0,10),(0,11),(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11)],12)
[10,8,11,12,3,4,2,1,7,9,6,5] => ([(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11)],12)
[9,10,11,12,3,4,2,1,8,7,6,5] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[12,10,8,5,3,6,2,4,1,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,5,3,6,2,4,1,7,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,10,5,3,6,2,4,1,8,7,11] => ([(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,9,12,5,3,6,2,4,1,8,10,7] => ([(0,2),(0,10),(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[10,11,12,5,3,6,2,4,1,9,8,7] => ([(0,1),(0,2),(0,9),(0,10),(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,7,5,3,8,2,4,6,1,9,11] => ([(0,11),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,5,3,8,2,4,6,1,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,7,5,3,10,2,4,6,8,1,11] => ([(0,11),(1,5),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,7,5,3,12,2,4,6,8,10,1] => ([(0,5),(0,10),(0,11),(1,5),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,11,7,5,3,12,2,4,6,9,8,1] => ([(0,1),(0,4),(0,9),(0,10),(0,11),(1,4),(1,9),(1,10),(1,11),(2,4),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,8,9,5,3,10,2,4,7,6,1,11] => ([(0,11),(1,2),(1,3),(1,8),(1,9),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,9,5,3,12,2,4,7,6,10,1] => ([(0,5),(0,10),(0,11),(1,2),(1,5),(1,8),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,11,5,3,12,2,4,7,9,6,1] => ([(0,4),(0,7),(0,9),(0,10),(0,11),(1,4),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[9,10,11,5,3,12,2,4,8,7,6,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[12,10,6,7,3,8,2,5,4,1,9,11] => ([(0,11),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,6,7,3,8,2,5,4,1,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,6,7,3,10,2,5,4,8,1,11] => ([(0,11),(1,3),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,6,7,3,12,2,5,4,8,10,1] => ([(0,3),(0,10),(0,11),(1,3),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,11,6,7,3,12,2,5,4,9,8,1] => ([(0,1),(0,3),(0,9),(0,10),(0,11),(1,3),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,8,6,9,3,10,2,5,7,4,1,11] => ([(0,11),(1,4),(1,5),(1,7),(1,8),(1,10),(1,11),(2,3),(2,6),(2,7),(2,9),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,6,9,3,12,2,5,7,4,10,1] => ([(0,3),(0,10),(0,11),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,6,11,3,12,2,5,7,9,4,1] => ([(0,3),(0,7),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,9),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,10,6,11,3,12,2,5,8,7,4,1] => ([(0,3),(0,4),(0,5),(0,7),(0,10),(0,11),(1,2),(1,6),(1,7),(1,8),(1,9),(1,11),(2,3),(2,4),(2,5),(2,7),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,8,9,3,10,2,6,5,4,1,11] => ([(0,11),(1,3),(1,4),(1,5),(1,6),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,8,9,3,12,2,6,5,4,10,1] => ([(0,2),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,8,11,3,12,2,6,5,9,4,1] => ([(0,2),(0,6),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,10,11,3,12,2,6,8,5,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,8),(0,11),(1,2),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,10,11,3,12,2,7,6,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,4,5,6,3,2,1,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,4,5,6,3,2,1,7,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,10,4,5,6,3,2,1,8,7,11] => ([(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,9,12,4,5,6,3,2,1,8,10,7] => ([(0,2),(0,10),(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[10,11,12,4,5,6,3,2,1,9,8,7] => ([(0,1),(0,2),(0,9),(0,10),(0,11),(1,2),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,7,4,5,8,3,2,6,1,9,11] => ([(0,11),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,4,5,8,3,2,6,1,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,7,4,5,10,3,2,6,8,1,11] => ([(0,11),(1,5),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,7,4,5,12,3,2,6,8,10,1] => ([(0,5),(0,10),(0,11),(1,5),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,11,7,4,5,12,3,2,6,9,8,1] => ([(0,1),(0,3),(0,9),(0,10),(0,11),(1,3),(1,9),(1,10),(1,11),(2,3),(2,6),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,8,9,4,5,10,3,2,7,6,1,11] => ([(0,11),(1,2),(1,3),(1,6),(1,7),(1,10),(1,11),(2,3),(2,6),(2,7),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,9,4,5,12,3,2,7,6,10,1] => ([(0,5),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,10),(1,11),(2,5),(2,6),(2,7),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,11,4,5,12,3,2,7,9,6,1] => ([(0,4),(0,5),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[9,10,11,4,5,12,3,2,8,7,6,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,6,4,7,8,3,5,2,1,9,11] => ([(0,11),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,6,4,7,8,3,5,2,1,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,6,4,7,10,3,5,2,8,1,11] => ([(0,11),(1,4),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,6,4,7,12,3,5,2,8,10,1] => ([(0,4),(0,10),(0,11),(1,4),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,11,6,4,7,12,3,5,2,9,8,1] => ([(0,1),(0,4),(0,9),(0,10),(0,11),(1,4),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,8,6,4,9,10,3,5,7,2,1,11] => ([(0,11),(1,3),(1,4),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,6,4,9,12,3,5,7,2,10,1] => ([(0,4),(0,10),(0,11),(1,3),(1,4),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,5),(4,7),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,6,4,11,12,3,5,7,9,2,1] => ([(0,3),(0,4),(0,9),(0,10),(0,11),(1,3),(1,4),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,10),(3,11),(4,5),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,10,6,4,11,12,3,5,8,7,2,1] => ([(0,4),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,8,4,9,10,3,6,5,2,1,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,8,4,9,12,3,6,5,2,10,1] => ([(0,3),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,8,4,11,12,3,6,5,9,2,1] => ([(0,2),(0,3),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,10,4,11,12,3,6,8,5,2,1] => ([(0,4),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,10,4,11,12,3,7,6,5,2,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,5,6,7,8,4,3,2,1,9,11] => ([(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,5,6,7,8,4,3,2,1,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,5,6,7,10,4,3,2,8,1,11] => ([(0,11),(1,5),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,5,6,7,12,4,3,2,8,10,1] => ([(0,5),(0,10),(0,11),(1,5),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,11,5,6,7,12,4,3,2,9,8,1] => ([(0,1),(0,5),(0,9),(0,10),(0,11),(1,5),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,8,5,6,9,10,4,3,7,2,1,11] => ([(0,11),(1,3),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,5,6,9,12,4,3,7,2,10,1] => ([(0,5),(0,10),(0,11),(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,5,6,11,12,4,3,7,9,2,1] => ([(0,4),(0,5),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,10,5,6,11,12,4,3,8,7,2,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,5,8,9,10,4,6,3,2,1,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,5,8,9,12,4,6,3,2,10,1] => ([(0,4),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,5,8,11,12,4,6,3,9,2,1] => ([(0,3),(0,4),(0,8),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,5,10,11,12,4,6,8,3,2,1] => ([(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,5,10,11,12,4,7,6,3,2,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,6,7,8,9,10,5,4,3,2,1,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,7,8,9,12,5,4,3,2,10,1] => ([(0,5),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,6,7,8,11,12,5,4,3,9,2,1] => ([(0,4),(0,5),(0,6),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,7,10,11,12,5,4,8,3,2,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,9,10,11,12,5,7,4,3,2,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,5,6,7,8,9,12,11,1,10] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[12,11,10,8,6,4,2,1,3,5,7,9] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,6,4,2,1,3,5,7,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,6,4,2,1,3,5,10,7] => ([(0,2),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,6,4,2,1,3,5,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,7,6,4,2,1,3,5,9,11] => ([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,7,6,4,2,1,3,5,9] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,7,9,6,4,2,1,3,8,5,11] => ([(0,11),(1,3),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,11,9,6,4,2,1,3,8,10,5] => ([(0,6),(0,10),(0,11),(1,6),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,7,9,6,4,2,1,3,8,5] => ([(0,2),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,7,6,4,2,1,3,5,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,7,6,4,2,1,3,10,5] => ([(0,2),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,8,11,10,7,9,4,2,1,3,6,5] => ([(0,1),(0,3),(0,6),(0,8),(0,9),(0,10),(0,11),(1,3),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,7,6,4,2,1,3,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,6,5,4,2,1,3,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,6,5,4,2,1,3,7,9] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,6,5,4,2,1,3,7,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,6,5,4,2,1,3,10,7] => ([(0,1),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,6,5,4,2,1,3,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,5,7,4,2,1,6,3,9,11] => ([(0,11),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,5,7,4,2,1,6,3,9] => ([(0,9),(0,10),(0,11),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,5,9,7,4,2,1,6,8,3,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,11,9,7,4,2,1,6,8,10,3] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,9),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,5,9,7,4,2,1,6,8,3] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,5,7,4,2,1,6,3,11] => ([(0,11),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,5,7,4,2,1,6,10,3] => ([(0,8),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,5,10,8,7,4,2,1,9,6,3] => ([(0,2),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,7),(1,8),(1,10),(1,11),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,5,7,4,2,1,6,3] => ([(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,7,6,5,4,2,1,3,9,11] => ([(0,11),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,7,6,5,4,2,1,3,9] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,7,9,6,5,4,2,1,8,3,11] => ([(0,11),(1,5),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,11,9,6,5,4,2,1,8,10,3] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,9),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,7,9,6,5,4,2,1,8,3] => ([(0,4),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,6,9,8,5,7,2,1,4,3,11] => ([(0,11),(1,3),(1,4),(1,5),(1,6),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,6,11,9,8,5,7,2,1,4,10,3] => ([(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,8),(1,9),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,6,11,8,10,5,7,2,1,9,4,3] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,8),(1,9),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,6,9,8,5,7,2,1,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,7,6,5,4,2,1,3,11] => ([(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,7,6,5,4,2,1,10,3] => ([(0,4),(0,10),(0,11),(1,2),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,8,11,10,7,6,5,9,2,1,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,11,10,9,6,8,5,2,1,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,6,4,3,2,1,5,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,6,4,3,2,1,5,7,9] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,6,4,3,2,1,5,7,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,6,4,3,2,1,5,10,7] => ([(0,2),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,6,4,3,2,1,5,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,7,6,4,3,2,1,5,9,11] => ([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,7,6,4,3,2,1,5,9] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,7,9,6,4,3,2,1,8,5,11] => ([(0,11),(1,2),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,11,9,6,4,3,2,1,8,10,5] => ([(0,3),(0,10),(0,11),(1,3),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,7,9,6,4,3,2,1,8,5] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,7,6,4,3,2,1,5,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,7,6,4,3,2,1,10,5] => ([(0,1),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,8,11,10,7,9,4,3,2,1,6,5] => ([(0,1),(0,2),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,7,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,6,3,5,2,4,1,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,6,3,5,2,4,1,7,9] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,6,3,5,2,4,1,7,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,6,3,5,2,4,1,10,7] => ([(0,1),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,6,3,5,2,4,1,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,3,7,5,2,4,6,1,9,11] => ([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,3,7,5,2,4,6,1,9] => ([(0,9),(0,10),(0,11),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,3,9,7,5,2,4,6,8,1,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,3,11,9,7,5,2,4,6,8,10,1] => ([(0,9),(0,10),(0,11),(1,5),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,3,9,7,5,2,4,6,8,1] => ([(0,5),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,3,7,5,2,4,6,1,11] => ([(0,11),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,3,7,5,2,4,6,10,1] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,3,10,8,7,5,2,4,9,6,1] => ([(0,5),(0,9),(0,10),(0,11),(1,3),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,3,7,5,2,4,6,1] => ([(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,7,6,3,5,2,4,1,9,11] => ([(0,11),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,7,6,3,5,2,4,1,9] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,7,9,6,3,5,2,4,8,1,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,11,9,6,3,5,2,4,8,10,1] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,7,9,6,3,5,2,4,8,1] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,3,8,6,5,2,7,4,1,11] => ([(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,3,8,6,5,2,7,4,10,1] => ([(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,3,8,10,6,5,2,7,9,4,1] => ([(0,6),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,3,8,6,5,2,7,4,1] => ([(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,7,6,3,5,2,4,1,11] => ([(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,7,6,3,5,2,4,10,1] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,8,11,10,7,6,3,5,2,9,4,1] => ([(0,5),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,3,9,7,6,8,2,5,4,1] => ([(0,6),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,7,6,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,6,5,4,3,2,1,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,6,5,4,3,2,1,7,9] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,6,5,4,3,2,1,7,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,6,5,4,3,2,1,10,7] => ([(0,1),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,6,5,4,3,2,1,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,5,7,4,3,2,6,1,9,11] => ([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,5,7,4,3,2,6,1,9] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,5,9,7,4,3,2,6,8,1,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,11,9,7,4,3,2,6,8,10,1] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,5,9,7,4,3,2,6,8,1] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,5,7,4,3,2,6,1,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,5,7,4,3,2,6,10,1] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,5,10,8,7,4,3,2,9,6,1] => ([(0,2),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,5,7,4,3,2,6,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,4,7,6,3,5,2,1,9,11] => ([(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,4,7,6,3,5,2,1,9] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,4,9,7,6,3,5,2,8,1,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,4,11,9,7,6,3,5,2,8,10,1] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,4,9,7,6,3,5,2,8,1] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,4,9,6,8,3,5,7,2,1,11] => ([(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,4,11,9,6,8,3,5,7,2,10,1] => ([(0,9),(0,10),(0,11),(1,6),(1,8),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,4,11,6,10,8,3,5,7,9,2,1] => ([(0,6),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,4,9,6,8,3,5,7,2,1] => ([(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,9,8,4,7,6,3,5,2,1,11] => ([(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,4,7,6,3,5,2,10,1] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,8,11,10,4,7,6,3,5,9,2,1] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,4,10,7,9,6,3,8,5,2,1] => ([(0,6),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,9,8,4,7,6,3,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,8,7,6,5,4,3,2,1,9,11] => ([(0,11),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,8,7,6,5,4,3,2,1,9] => ([(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,7,9,6,5,4,3,2,8,1,11] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,11,9,6,5,4,3,2,8,10,1] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,7,9,6,5,4,3,2,8,1] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,6,9,8,5,4,3,7,2,1,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,6,11,9,8,5,4,3,7,2,10,1] => ([(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,8),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,6,11,8,10,5,4,3,7,9,2,1] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,9),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,6,9,8,5,4,3,7,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,5,9,8,7,4,6,3,2,1,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,11,9,8,7,4,6,3,2,10,1] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,11,8,10,7,4,6,3,9,2,1] => ([(0,6),(0,8),(0,9),(0,10),(0,11),(1,5),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,11,7,10,9,4,6,8,3,2,1] => ([(0,6),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,10,5,9,8,7,4,6,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,11,8,7,6,5,4,3,2,10,1] => ([(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,8,11,10,7,6,5,4,3,9,2,1] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,11,10,9,6,5,4,8,3,2,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,6,11,10,9,8,5,7,4,3,2,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,10,11,7,1,2,3,4,5,12,6] => ([(0,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,9,10,11,12,8,1,3,4,5,6,7] => ([(0,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[11,12,2,4,6,8,10,1,3,5,7,9] => ([(0,9),(0,10),(0,11),(1,8),(1,10),(1,11),(2,7),(2,8),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[9,10,2,4,6,8,12,1,3,5,7,11] => ([(0,6),(1,9),(1,10),(1,11),(2,6),(2,8),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,9,12,2,4,6,8,10,1,3,5,7] => ([(0,8),(0,9),(0,10),(0,11),(1,5),(1,7),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(10,11)],12)
[10,11,12,9,2,4,6,8,1,3,5,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[7,8,2,4,6,10,12,1,3,5,9,11] => ([(0,7),(1,4),(1,7),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,11),(5,6),(5,7),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[7,8,11,12,2,4,6,10,1,3,5,9] => ([(0,6),(0,10),(0,11),(1,4),(1,5),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,10),(3,11),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,7,10,2,4,6,8,12,1,3,5,11] => ([(0,2),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(8,11),(9,11),(10,11)],12)
[9,11,7,12,2,4,6,8,10,1,3,5] => ([(0,6),(0,8),(0,9),(0,10),(0,11),(1,5),(1,7),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(9,10),(10,11)],12)
[7,10,11,12,9,2,4,6,8,1,3,5] => ([(0,1),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,10),(2,3),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,10,7,2,4,6,12,1,3,5,11] => ([(0,1),(1,4),(1,9),(1,10),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,8,9,7,12,2,4,6,10,1,3,5] => ([(0,3),(0,4),(0,8),(0,10),(0,11),(1,4),(1,6),(1,7),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,9),(3,11),(4,5),(4,8),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[10,11,8,12,7,9,2,4,6,1,3,5] => ([(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[9,10,11,12,8,7,2,4,6,1,3,5] => ([(0,4),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,2,4,8,10,12,1,3,7,9,11] => ([(0,9),(1,8),(1,9),(2,6),(2,7),(2,11),(3,4),(3,10),(3,11),(4,8),(4,9),(5,6),(5,7),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,11,12,2,4,8,10,1,3,7,9] => ([(0,7),(0,10),(0,11),(1,5),(1,7),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[5,6,9,10,2,4,8,12,1,3,7,11] => ([(0,4),(1,5),(1,7),(1,10),(1,11),(2,5),(2,7),(2,10),(2,11),(3,4),(3,6),(3,8),(3,9),(4,10),(4,11),(5,8),(5,9),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,5,6,9,12,2,4,8,10,1,3,7] => ([(0,3),(0,7),(0,9),(0,10),(0,11),(1,4),(1,6),(1,9),(1,10),(1,11),(2,4),(2,6),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,11),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,11,12,5,6,9,2,4,8,1,3,7] => ([(0,4),(0,8),(0,9),(0,10),(0,11),(1,3),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[7,5,8,2,4,6,10,12,1,3,9,11] => ([(0,5),(1,2),(1,5),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,11),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,5,8,11,12,2,4,6,10,1,3,9] => ([(0,3),(0,8),(0,9),(1,4),(1,5),(1,7),(1,10),(1,11),(2,4),(2,6),(2,7),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,9,5,10,2,4,6,8,12,1,3,11] => ([(0,1),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,9,11,5,12,2,4,6,8,10,1,3] => ([(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,7,11,12,5,9,2,4,6,8,1,3] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[5,8,9,10,7,2,4,6,12,1,3,11] => ([(0,1),(1,10),(1,11),(2,7),(2,8),(2,10),(2,11),(3,4),(3,5),(3,6),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,5,8,9,7,12,2,4,6,10,1,3] => ([(0,2),(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,8),(2,9),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[8,10,5,11,12,7,9,2,4,6,1,3] => ([(0,3),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[9,10,11,12,5,8,7,2,4,6,1,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,7,8,5,2,4,10,12,1,3,9,11] => ([(0,3),(1,2),(1,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[6,7,8,5,11,12,2,4,10,1,3,9] => ([(0,4),(0,5),(0,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(10,11)],12)
[9,6,7,5,10,2,4,8,12,1,3,11] => ([(0,1),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,6),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[9,6,7,11,5,12,2,4,8,10,1,3] => ([(0,4),(0,6),(0,10),(0,11),(1,4),(1,6),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[6,10,7,11,12,5,9,2,4,8,1,3] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,6,10,5,7,2,4,12,1,3,11] => ([(0,1),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,9,11,6,5,7,12,2,4,10,1,3] => ([(0,1),(0,8),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,8,11,6,12,5,7,9,2,4,1,3] => ([(0,1),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(10,11)],12)
[9,6,10,11,12,8,5,7,2,4,1,3] => ([(0,4),(0,6),(0,7),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,8,9,10,6,5,2,4,12,1,3,11] => ([(0,1),(1,8),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[11,7,8,9,6,5,12,2,4,10,1,3] => ([(0,1),(0,9),(0,10),(0,11),(1,5),(1,8),(1,9),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[10,11,7,8,6,12,5,9,2,4,1,3] => ([(0,1),(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[9,10,11,7,12,6,8,5,2,4,1,3] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,10,11,12,7,6,5,2,4,1,3] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,4,2,6,8,10,12,1,5,7,9,11] => ([(0,10),(1,9),(1,11),(2,8),(2,10),(3,5),(3,11),(4,5),(4,11),(5,11),(6,7),(6,9),(6,11),(7,8),(7,10),(8,9),(8,11),(9,10),(10,11)],12)
[3,4,11,12,2,6,8,10,1,5,7,9] => ([(0,7),(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,6),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[3,4,9,10,2,6,8,12,1,5,7,11] => ([(0,5),(1,8),(1,11),(2,8),(2,11),(3,5),(3,7),(3,9),(3,10),(4,6),(4,9),(4,10),(4,11),(5,6),(5,11),(6,7),(6,9),(6,10),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,3,4,9,12,2,6,8,10,1,5,7] => ([(0,7),(0,10),(0,11),(1,7),(1,10),(1,11),(2,3),(2,5),(2,8),(2,10),(2,11),(3,6),(3,8),(3,9),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(9,10),(9,11),(10,11)],12)
[10,11,12,3,4,9,2,6,8,1,5,7] => ([(0,6),(0,8),(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[3,4,7,8,2,6,10,12,1,5,9,11] => ([(0,8),(1,10),(1,11),(2,10),(2,11),(3,4),(3,8),(4,9),(4,11),(5,6),(5,7),(5,9),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,11),(10,11)],12)
[3,4,7,8,11,12,2,6,10,1,5,9] => ([(0,10),(0,11),(1,10),(1,11),(2,5),(2,8),(2,9),(3,6),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,4,7,10,2,6,8,12,1,5,11] => ([(0,3),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(3,9),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[9,11,3,4,7,12,2,6,8,10,1,5] => ([(0,6),(0,8),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,10,11,12,4,7,9,2,6,8,1,5] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,10,3,4,7,2,6,12,1,5,11] => ([(0,1),(1,5),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[11,8,9,3,4,7,12,2,6,10,1,5] => ([(0,3),(0,6),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,11,8,12,3,4,7,9,2,6,1,5] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[9,10,11,12,8,3,4,7,2,6,1,5] => ([(0,4),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,3,6,2,4,8,10,12,1,7,9,11] => ([(0,10),(1,7),(1,10),(2,6),(2,11),(3,4),(3,9),(3,11),(4,8),(4,11),(5,8),(5,9),(5,11),(6,7),(6,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[5,3,6,11,12,2,4,8,10,1,7,9] => ([(0,7),(0,9),(0,10),(1,6),(1,8),(1,11),(2,3),(2,8),(2,11),(3,6),(3,8),(3,11),(4,5),(4,7),(4,9),(4,10),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[5,3,6,9,10,2,4,8,12,1,7,11] => ([(0,3),(1,7),(1,10),(1,11),(2,4),(2,10),(2,11),(3,5),(3,11),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,11,3,6,9,12,2,4,8,10,1,7] => ([(0,1),(0,6),(0,9),(0,11),(1,9),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,4),(3,7),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,10,11,12,3,6,9,2,4,8,1,7] => ([(0,4),(0,5),(0,10),(0,11),(1,3),(1,6),(1,7),(1,8),(1,9),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,7,3,8,2,4,6,10,12,1,9,11] => ([(0,4),(1,2),(1,4),(2,11),(3,8),(3,10),(3,11),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,9),(6,11),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[5,7,3,8,11,12,2,4,6,10,1,9] => ([(0,4),(0,8),(0,9),(1,2),(1,7),(1,10),(1,11),(2,5),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,8),(4,9),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,7,9,3,10,2,4,6,8,12,1,11] => ([(0,1),(1,11),(2,8),(2,10),(2,11),(3,6),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,9),(6,11),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[5,7,9,11,3,12,2,4,6,8,10,1] => ([(0,8),(0,10),(0,11),(1,6),(1,8),(1,10),(1,11),(2,5),(2,7),(2,9),(2,11),(3,4),(3,6),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,9),(6,11),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[10,5,7,11,12,3,9,2,4,6,8,1] => ([(0,4),(0,5),(0,8),(0,10),(0,11),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,8),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,5,9,10,3,7,2,4,6,12,1,11] => ([(0,1),(1,11),(2,4),(2,5),(2,8),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,11,5,9,3,7,12,2,4,6,10,1] => ([(0,1),(0,10),(0,11),(1,4),(1,8),(1,9),(1,11),(2,3),(2,6),(2,7),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,10,11,5,12,3,7,9,2,4,6,1] => ([(0,1),(0,2),(0,4),(0,6),(0,7),(0,10),(0,11),(1,3),(1,4),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[5,9,10,11,12,8,3,7,2,4,6,1] => ([(0,6),(0,7),(0,9),(0,11),(1,2),(1,3),(1,4),(1,5),(1,8),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,7,8,5,2,4,10,12,1,9,11] => ([(0,4),(1,3),(1,11),(2,9),(2,11),(3,4),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,6,7,8,5,11,12,2,4,10,1,9] => ([(0,10),(0,11),(1,5),(1,6),(1,7),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[9,3,6,7,5,10,2,4,8,12,1,11] => ([(0,1),(1,11),(2,9),(2,10),(2,11),(3,4),(3,10),(3,11),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,6,7,11,5,12,2,4,8,10,1] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,11),(2,5),(2,6),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,10,3,7,11,12,5,9,2,4,8,1] => ([(0,3),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,9),(2,11),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[6,8,3,9,10,5,7,2,4,12,1,11] => ([(0,1),(1,11),(2,5),(2,7),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[6,8,9,3,11,5,7,12,2,4,10,1] => ([(0,1),(0,7),(0,11),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,6,8,3,11,12,5,7,9,2,4,1] => ([(0,4),(0,6),(0,9),(0,10),(0,11),(1,2),(1,3),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,10),(2,11),(3,5),(3,7),(3,8),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[9,6,10,11,12,3,8,5,7,2,4,1] => ([(0,4),(0,6),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[7,8,9,10,3,6,5,2,4,12,1,11] => ([(0,1),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,8,9,3,6,5,12,2,4,10,1] => ([(0,1),(0,10),(0,11),(1,8),(1,9),(1,11),(2,3),(2,4),(2,5),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,11,7,8,3,6,12,5,9,2,4,1] => ([(0,2),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,10),(1,11),(2,6),(2,7),(2,8),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[9,10,11,7,12,3,6,8,5,2,4,1] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,10),(0,11),(1,2),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,10,11,12,7,3,6,5,2,4,1] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,6,3,2,8,10,12,1,7,9,11] => ([(0,8),(1,7),(1,11),(2,6),(2,8),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,11),(7,8),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,6,3,11,12,2,8,10,1,7,9] => ([(0,7),(0,8),(0,9),(1,6),(1,10),(1,11),(2,6),(2,10),(2,11),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,8),(5,9),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,6,3,9,10,2,8,12,1,7,11] => ([(0,4),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,6,11,3,9,12,2,8,10,1,7] => ([(0,8),(0,10),(0,11),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(3,6),(3,7),(3,9),(3,11),(4,5),(4,6),(4,7),(4,9),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,6,10,11,12,3,9,2,8,1,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,5,3,8,2,6,10,12,1,9,11] => ([(0,5),(1,2),(1,5),(2,11),(3,4),(3,10),(3,11),(4,9),(4,11),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,5,3,8,11,12,2,6,10,1,9] => ([(0,4),(0,6),(0,7),(1,8),(1,10),(1,11),(2,5),(2,9),(2,10),(2,11),(3,5),(3,9),(3,10),(3,11),(4,6),(4,7),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,5,9,3,10,2,6,8,12,1,11] => ([(0,1),(1,11),(2,6),(2,7),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,5,9,11,3,12,2,6,8,10,1] => ([(0,6),(0,8),(0,11),(1,7),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,4),(3,6),(3,8),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,10,4,5,11,12,3,9,2,6,8,1] => ([(0,6),(0,8),(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,9),(2,11),(3,4),(3,5),(3,6),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,8,5,9,10,3,7,2,6,12,1,11] => ([(0,1),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,8,11,5,9,3,7,12,2,6,10,1] => ([(0,8),(0,10),(0,11),(1,2),(1,9),(1,11),(2,7),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,8,10,11,5,12,3,7,9,2,6,1] => ([(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,5,9,10,11,12,8,3,7,2,6,1] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,7,4,8,3,5,2,10,12,1,9,11] => ([(0,3),(1,2),(1,11),(2,3),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,7,4,8,3,5,11,12,2,10,1,9] => ([(0,2),(0,3),(0,4),(1,5),(1,9),(1,10),(1,11),(2,3),(2,4),(2,11),(3,10),(3,11),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,7,9,4,3,5,10,2,8,12,1,11] => ([(0,1),(1,11),(2,3),(2,9),(2,11),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,7,9,4,11,3,5,12,2,8,10,1] => ([(0,2),(0,8),(0,11),(1,2),(1,7),(1,8),(1,11),(2,10),(2,11),(3,5),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,6,7,4,11,12,3,5,9,2,8,1] => ([(0,4),(0,5),(0,6),(0,9),(0,11),(1,2),(1,3),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,9,4,10,3,5,7,2,12,1,11] => ([(0,1),(1,11),(2,3),(2,7),(2,9),(2,10),(2,11),(3,6),(3,8),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,9,11,4,3,5,7,12,2,10,1] => ([(0,1),(0,9),(0,11),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,10,6,11,4,12,3,5,7,9,2,1] => ([(0,2),(0,7),(0,9),(0,10),(0,11),(1,2),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,8),(2,10),(2,11),(3,4),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,9,4,10,11,12,8,3,5,7,2,1] => ([(0,1),(0,6),(0,9),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,4,8,9,10,6,3,5,2,12,1,11] => ([(0,1),(1,11),(2,6),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,11,4,8,9,6,3,5,12,2,10,1] => ([(0,1),(0,10),(0,11),(1,9),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,8,10,4,11,6,12,3,5,9,2,1] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,10),(1,11),(2,4),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,7,10,4,11,12,6,8,3,5,2,1] => ([(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,8,9,10,11,12,7,6,3,5,2,1] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,7,8,4,3,2,10,12,1,9,11] => ([(0,3),(1,2),(1,11),(2,3),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,6,7,8,4,3,11,12,2,10,1,9] => ([(0,5),(0,6),(0,7),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,5,6,7,4,3,10,2,8,12,1,11] => ([(0,1),(1,11),(2,3),(2,10),(2,11),(3,9),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,5,6,7,4,11,3,12,2,8,10,1] => ([(0,2),(0,6),(0,11),(1,2),(1,6),(1,9),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,10,6,7,4,11,12,3,9,2,8,1] => ([(0,7),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,6),(5,8),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,5,6,4,10,3,7,2,12,1,11] => ([(0,1),(1,11),(2,3),(2,9),(2,10),(2,11),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,5,6,11,4,3,7,12,2,10,1] => ([(0,1),(0,5),(0,11),(1,10),(1,11),(2,5),(2,6),(2,7),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,5,6,11,4,12,3,7,9,2,1] => ([(0,1),(0,5),(0,9),(0,10),(0,11),(1,4),(1,8),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,5,10,6,11,12,4,8,3,7,2,1] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,8,9,5,10,4,6,3,2,12,1,11] => ([(0,1),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,8,9,11,5,4,6,3,12,2,10,1] => ([(0,1),(0,6),(0,11),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,8,11,5,4,6,12,3,9,2,1] => ([(0,1),(0,9),(0,10),(0,11),(1,5),(1,8),(1,10),(1,11),(2,3),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,10,7,11,5,12,4,6,8,3,2,1] => ([(0,2),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,5,10,11,12,7,4,6,3,2,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,7,8,9,10,5,4,3,2,12,1,11] => ([(0,1),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,7,8,9,5,4,3,12,2,10,1] => ([(0,1),(0,10),(0,11),(1,9),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,11,6,7,8,5,4,12,3,9,2,1] => ([(0,1),(0,9),(0,10),(0,11),(1,7),(1,8),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,10,11,6,7,5,12,4,8,3,2,1] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,9,10,11,6,12,5,7,4,3,2,1] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,2,1,4,3,12,11,8,7,10,9] => ([(0,3),(0,9),(0,10),(1,2),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,7),(4,8),(4,11),(5,6),(5,8),(5,11),(6,8),(6,11),(7,8),(7,11),(8,11),(9,10)],12)
[2,1,4,3,6,5,8,7,9,11,12,10] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[2,1,4,3,6,5,7,9,10,8,12,11] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[2,1,4,3,6,5,7,9,8,11,12,10] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[2,1,4,3,6,5,7,8,10,11,12,9] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[2,1,4,3,5,7,8,6,10,9,12,11] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[2,1,4,3,5,7,8,6,9,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,4,3,5,7,6,9,10,8,12,11] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[2,1,4,3,5,7,6,9,8,11,12,10] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[2,1,4,3,5,7,6,8,10,11,12,9] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[2,1,4,3,5,6,8,9,10,7,12,11] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[2,1,4,3,5,6,8,9,7,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,4,3,5,6,8,7,10,11,12,9] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[2,1,4,3,5,6,7,9,10,11,12,8] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,3,5,6,4,8,7,10,9,12,11] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[2,1,3,5,6,4,8,7,9,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,5,6,4,7,9,10,8,12,11] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,5,6,4,7,9,8,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,5,6,4,7,8,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,5,4,7,8,6,10,9,12,11] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[2,1,3,5,4,7,8,6,9,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,5,4,7,6,9,10,8,12,11] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[2,1,3,5,4,7,6,9,8,11,12,10] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[2,1,3,5,4,7,6,8,10,11,12,9] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[2,1,3,5,4,6,8,9,10,7,12,11] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[2,1,3,5,4,6,8,9,7,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,5,4,6,8,7,10,11,12,9] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[2,1,3,5,4,6,7,9,10,11,12,8] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,3,4,6,7,8,5,10,9,12,11] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[2,1,3,4,6,7,8,5,9,11,12,10] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,4,6,7,5,9,10,8,12,11] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,4,6,7,5,9,8,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,4,6,7,5,8,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,4,6,5,8,9,10,7,12,11] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[2,1,3,4,6,5,8,9,7,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,4,6,5,8,7,10,11,12,9] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[2,1,3,4,6,5,7,9,10,11,12,8] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,3,4,5,7,8,9,10,6,12,11] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,3,4,5,7,8,9,6,11,12,10] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,4,5,7,8,6,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[2,1,3,4,5,7,6,9,10,11,12,8] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,3,4,5,6,8,9,10,11,12,7] => ([(4,5),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,3,4,2,6,5,8,7,10,9,12,11] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[1,3,4,2,6,5,8,7,9,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,4,2,6,5,7,9,10,8,12,11] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,4,2,6,5,7,9,8,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,4,2,6,5,7,8,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,4,2,5,7,8,6,10,9,12,11] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,4,2,5,7,8,6,9,11,12,10] => ([(3,11),(4,11),(5,10),(6,10),(7,9),(8,9)],12)
[1,3,4,2,5,7,6,9,10,8,12,11] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,4,2,5,7,6,9,8,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,4,2,5,7,6,8,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,4,2,5,6,8,9,10,7,12,11] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,4,2,5,6,8,9,7,11,12,10] => ([(3,11),(4,11),(5,10),(6,10),(7,9),(8,9)],12)
[1,3,4,2,5,6,8,7,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,4,2,5,6,7,9,10,11,12,8] => ([(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,5,6,4,8,7,10,9,12,11] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[1,3,2,5,6,4,8,7,9,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,5,6,4,7,9,10,8,12,11] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,5,6,4,7,9,8,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,5,6,4,7,8,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,5,4,7,8,6,10,9,12,11] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[1,3,2,5,4,7,8,6,9,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,5,4,7,6,9,10,8,12,11] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[1,3,2,5,4,7,6,9,8,11,12,10] => ([(1,8),(2,7),(3,6),(4,5),(9,11),(10,11)],12)
[1,3,2,5,4,7,6,8,10,11,12,9] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[1,3,2,5,4,6,8,9,10,7,12,11] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[1,3,2,5,4,6,8,9,7,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,5,4,6,8,7,10,11,12,9] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[1,3,2,5,4,6,7,9,10,11,12,8] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[1,3,2,4,6,7,8,5,10,9,12,11] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[1,3,2,4,6,7,8,5,9,11,12,10] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,4,6,7,5,9,10,8,12,11] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,4,6,7,5,9,8,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,4,6,7,5,8,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,4,6,5,8,9,10,7,12,11] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[1,3,2,4,6,5,8,9,7,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,4,6,5,8,7,10,11,12,9] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[1,3,2,4,6,5,7,9,10,11,12,8] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[1,3,2,4,5,7,8,9,10,6,12,11] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[1,3,2,4,5,7,8,9,6,11,12,10] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,4,5,7,8,6,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,3,2,4,5,7,6,9,10,11,12,8] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[1,3,2,4,5,6,8,9,10,11,12,7] => ([(4,5),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,4,5,6,3,8,7,10,9,12,11] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[1,2,4,5,6,3,8,7,9,11,12,10] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,5,6,3,7,9,10,8,12,11] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,5,6,3,7,9,8,11,12,10] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,5,6,3,7,8,10,11,12,9] => ([(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[1,2,4,5,3,7,8,6,10,9,12,11] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,5,3,7,8,6,9,11,12,10] => ([(3,11),(4,11),(5,10),(6,10),(7,9),(8,9)],12)
[1,2,4,5,3,7,6,9,10,8,12,11] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,5,3,7,6,9,8,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,5,3,7,6,8,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,5,3,6,8,9,10,7,12,11] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,5,3,6,8,9,7,11,12,10] => ([(3,11),(4,11),(5,10),(6,10),(7,9),(8,9)],12)
[1,2,4,5,3,6,8,7,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,5,3,6,7,9,10,11,12,8] => ([(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,3,6,7,8,5,10,9,12,11] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[1,2,4,3,6,7,8,5,9,11,12,10] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,3,6,7,5,9,10,8,12,11] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,3,6,7,5,9,8,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,3,6,7,5,8,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,3,6,5,8,9,10,7,12,11] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[1,2,4,3,6,5,8,9,7,11,12,10] => ([(2,5),(3,4),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,3,6,5,8,7,10,11,12,9] => ([(2,7),(3,6),(4,5),(8,11),(9,11),(10,11)],12)
[1,2,4,3,6,5,7,9,10,11,12,8] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,4,3,5,7,8,9,10,6,12,11] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,4,3,5,7,8,9,6,11,12,10] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,3,5,7,8,6,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,4,3,5,7,6,9,10,11,12,8] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,4,3,5,6,8,9,10,11,12,7] => ([(4,5),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,3,5,6,7,8,4,10,9,12,11] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,3,5,6,7,8,4,9,11,12,10] => ([(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,3,5,6,7,4,9,10,8,12,11] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,3,5,6,7,4,9,8,11,12,10] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,3,5,6,7,4,8,10,11,12,9] => ([(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[1,2,3,5,6,4,8,9,10,7,12,11] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,3,5,6,4,8,9,7,11,12,10] => ([(3,11),(4,11),(5,10),(6,10),(7,9),(8,9)],12)
[1,2,3,5,6,4,8,7,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,3,5,6,4,7,9,10,11,12,8] => ([(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,3,5,4,7,8,9,10,6,12,11] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,3,5,4,7,8,9,6,11,12,10] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,3,5,4,7,8,6,10,11,12,9] => ([(3,4),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,3,5,4,7,6,9,10,11,12,8] => ([(3,6),(4,5),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,3,5,4,6,8,9,10,11,12,7] => ([(4,5),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,3,4,6,7,8,9,10,5,12,11] => ([(4,5),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,3,4,6,7,8,9,5,11,12,10] => ([(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,3,4,6,7,8,5,10,11,12,9] => ([(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[1,2,3,4,6,7,5,9,10,11,12,8] => ([(4,11),(5,11),(6,11),(7,11),(8,10),(9,10)],12)
[1,2,3,4,6,5,8,9,10,11,12,7] => ([(4,5),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,2,3,4,5,7,8,9,10,11,12,6] => ([(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[12,1,2,3,4,5,6,7,8,11,9,10] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,1,2,3,4,5,6,7,8,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,2,1,3,4,5,6,7,8,9,10,11] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,8,7,12,9,11,10] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,10,7,9,8,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,12,11,9,7,8,10] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,12,7,8,10,11,9] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,5,7,6,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,8,5,7,6,12,9,11,10] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,1,4,3,10,9,7,5,6,8,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,9,7,11,6,5,8,10] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,4,3,12,10,7,5,8,6,11,9] => ([(0,3),(1,2),(4,7),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,10,5,6,8,9,7,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,11,6,8,9,5,7,10] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,5,11,8,6,10,7,9] => ([(0,3),(1,2),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,5,6,7,9,10,11,8] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,3,5,4,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,3,5,4,8,7,12,9,11,10] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,1,6,3,5,4,10,7,9,8,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[2,1,6,3,5,4,12,11,9,7,8,10] => ([(0,1),(2,8),(3,10),(3,11),(4,5),(4,8),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[2,1,6,3,5,4,12,7,8,10,11,9] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[2,1,8,7,5,3,4,6,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,7,5,3,4,6,12,9,11,10] => ([(0,1),(2,8),(3,10),(3,11),(4,5),(4,8),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[2,1,10,7,5,9,4,3,6,8,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,12,7,5,9,4,11,6,3,8,10] => ([(0,1),(2,9),(2,11),(3,8),(3,9),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,7,5,10,4,3,8,6,11,9] => ([(0,1),(2,4),(2,11),(3,6),(3,10),(3,11),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,8,5,3,6,4,9,7,12,11] => ([(0,3),(1,2),(4,7),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,8,5,11,6,4,9,3,7,10] => ([(0,1),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,7),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,8,5,3,11,4,6,10,7,9] => ([(0,1),(2,8),(2,10),(2,11),(3,7),(3,9),(3,11),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,12,9,5,3,6,7,4,10,11,8] => ([(0,1),(2,8),(2,11),(3,8),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,3,4,6,7,5,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,3,4,6,7,5,12,9,11,10] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[2,1,10,9,4,6,7,3,5,8,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,9,4,6,7,11,5,3,8,10] => ([(0,1),(2,7),(2,11),(3,9),(3,10),(3,11),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,10,4,6,7,3,8,5,11,9] => ([(0,1),(2,5),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,3,9,6,4,8,5,7,12,11] => ([(0,3),(1,2),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,9,6,4,8,5,3,7,10] => ([(0,1),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,3,10,6,11,8,4,5,7,9] => ([(0,1),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,12,3,10,6,4,7,9,5,11,8] => ([(0,1),(2,11),(3,8),(3,11),(4,7),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,3,4,5,7,8,9,6,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,4,5,7,8,9,3,6,10] => ([(0,1),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,3,11,5,7,8,4,10,6,9] => ([(0,1),(2,11),(3,9),(3,10),(3,11),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,3,4,11,7,5,9,10,6,8] => ([(0,1),(2,11),(3,11),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,3,4,5,6,8,9,10,11,7] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,1,3,2,6,5,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,10),(9,11),(10,11)],12)
[4,1,3,2,6,5,8,7,12,9,11,10] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[4,1,3,2,6,5,10,7,9,8,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[4,1,3,2,6,5,12,11,9,7,8,10] => ([(0,1),(2,8),(3,10),(3,11),(4,5),(4,8),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[4,1,3,2,6,5,12,7,8,10,11,9] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[4,1,3,2,8,5,7,6,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,10),(6,7),(6,10),(7,10),(8,9),(8,11),(9,11)],12)
[4,1,3,2,8,5,7,6,12,9,11,10] => ([(0,11),(1,10),(2,9),(3,4),(3,9),(4,9),(5,6),(5,10),(6,10),(7,8),(7,11),(8,11)],12)
[4,1,3,2,10,9,7,5,6,8,12,11] => ([(0,1),(2,8),(3,10),(3,11),(4,5),(4,8),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[4,1,3,2,12,9,7,11,6,5,8,10] => ([(0,5),(1,9),(1,11),(2,3),(2,5),(3,5),(4,9),(4,10),(4,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[4,1,3,2,12,10,7,5,8,6,11,9] => ([(0,7),(1,4),(1,11),(2,3),(2,7),(3,7),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,1,3,2,10,5,6,8,9,7,12,11] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[4,1,3,2,12,11,6,8,9,5,7,10] => ([(0,5),(1,2),(1,5),(2,5),(3,10),(3,11),(4,9),(4,10),(4,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,1,3,2,12,5,11,8,6,10,7,9] => ([(0,6),(1,11),(2,3),(2,6),(3,6),(4,8),(4,10),(4,11),(5,7),(5,10),(5,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,1,3,2,12,5,6,7,9,10,11,8] => ([(0,11),(1,11),(2,11),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[6,5,3,1,2,4,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,3,1,2,4,8,7,12,9,11,10] => ([(0,1),(2,8),(3,10),(3,11),(4,5),(4,8),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[6,5,3,1,2,4,10,7,9,8,12,11] => ([(0,1),(2,8),(3,10),(3,11),(4,5),(4,8),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[6,5,3,1,2,4,12,11,9,7,8,10] => ([(0,10),(0,11),(1,8),(1,9),(2,6),(2,8),(2,9),(3,6),(3,8),(3,9),(4,7),(4,10),(4,11),(5,7),(5,10),(5,11),(6,8),(6,9),(7,10),(7,11),(8,9),(10,11)],12)
[6,5,3,1,2,4,12,7,8,10,11,9] => ([(0,11),(1,11),(2,9),(2,10),(3,5),(3,11),(4,5),(4,11),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],12)
[8,5,3,7,2,1,4,6,10,9,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,5,3,7,2,1,4,6,12,9,11,10] => ([(0,5),(1,9),(1,11),(2,3),(2,5),(3,5),(4,9),(4,10),(4,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,5,3,7,2,9,4,1,6,8,12,11] => ([(0,1),(2,9),(2,11),(3,8),(3,9),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,3,7,2,9,4,11,6,1,8,10] => ([(0,9),(0,11),(1,8),(1,9),(1,11),(2,6),(2,7),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,3,7,2,10,4,1,8,6,11,9] => ([(0,2),(0,11),(1,4),(1,9),(1,11),(2,9),(2,11),(3,7),(3,8),(3,10),(3,11),(4,5),(4,9),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,5,3,8,2,1,6,4,9,7,12,11] => ([(0,1),(2,4),(2,11),(3,6),(3,10),(3,11),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,3,8,2,11,6,4,9,1,7,10] => ([(0,9),(0,11),(1,2),(1,9),(1,10),(1,11),(2,7),(2,9),(2,11),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,3,8,2,1,11,4,6,10,7,9] => ([(0,5),(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,11),(5,10),(5,11),(6,7),(6,8),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[12,5,3,9,2,1,6,7,4,10,11,8] => ([(0,5),(0,11),(1,5),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,11),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,3,1,4,2,7,5,10,9,12,11] => ([(0,3),(1,2),(4,7),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,6,3,1,4,2,7,5,12,9,11,10] => ([(0,7),(1,4),(1,11),(2,3),(2,7),(3,7),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,6,3,9,4,2,7,1,5,8,12,11] => ([(0,1),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,7),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,6,3,9,4,2,7,11,5,1,8,10] => ([(0,5),(0,11),(1,5),(1,9),(1,11),(2,7),(2,8),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,6,3,10,4,2,7,1,8,5,11,9] => ([(0,2),(0,11),(1,6),(1,10),(1,11),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,6,3,1,9,2,4,8,5,7,12,11] => ([(0,1),(2,8),(2,10),(2,11),(3,7),(3,9),(3,11),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[12,6,3,11,9,2,4,8,5,1,7,10] => ([(0,10),(0,11),(1,5),(1,7),(1,9),(1,11),(2,6),(2,8),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,6,3,1,10,2,11,8,4,5,7,9] => ([(0,4),(0,9),(0,11),(1,8),(1,10),(1,11),(2,7),(2,8),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[12,6,3,1,10,2,4,7,9,5,11,8] => ([(0,7),(0,11),(1,6),(1,9),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,9),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,7,3,1,4,5,2,8,9,6,12,11] => ([(0,1),(2,8),(2,11),(3,8),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,3,11,4,5,2,8,9,1,6,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(1,11),(2,4),(2,9),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,3,1,11,5,2,8,4,10,6,9] => ([(0,3),(0,10),(0,11),(1,4),(1,9),(1,11),(2,6),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,7,3,1,4,11,2,5,9,10,6,8] => ([(0,8),(0,10),(0,11),(1,6),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,5),(3,9),(3,11),(4,7),(4,9),(4,11),(5,7),(5,9),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,8,3,1,4,5,6,2,9,10,11,7] => ([(0,8),(0,11),(1,8),(1,11),(2,8),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,1,2,4,5,3,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,1,2,4,5,3,8,7,12,9,11,10] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[6,1,2,4,5,3,10,7,9,8,12,11] => ([(0,1),(2,11),(3,11),(4,9),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[6,1,2,4,5,3,12,11,9,7,8,10] => ([(0,11),(1,11),(2,9),(2,10),(3,5),(3,11),(4,5),(4,11),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],12)
[6,1,2,4,5,3,12,7,8,10,11,9] => ([(0,10),(1,10),(2,11),(3,11),(4,9),(4,10),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,11),(9,10)],12)
[8,7,2,4,5,1,3,6,10,9,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,2,4,5,1,3,6,12,9,11,10] => ([(0,5),(1,2),(1,5),(2,5),(3,10),(3,11),(4,9),(4,10),(4,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,2,4,5,9,3,1,6,8,12,11] => ([(0,1),(2,7),(2,11),(3,9),(3,10),(3,11),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,2,4,5,9,3,11,6,1,8,10] => ([(0,7),(0,11),(1,6),(1,7),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,2,4,5,10,3,1,8,6,11,9] => ([(0,3),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,8,2,4,5,1,6,3,9,7,12,11] => ([(0,1),(2,5),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,8,2,4,5,11,6,3,9,1,7,10] => ([(0,8),(0,11),(1,9),(1,10),(1,11),(2,3),(2,8),(2,10),(2,11),(3,8),(3,9),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,8,2,4,5,1,11,3,6,10,7,9] => ([(0,8),(0,10),(0,11),(1,6),(1,9),(1,11),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,9),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[12,9,2,4,5,1,6,7,3,10,11,8] => ([(0,7),(0,11),(1,7),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,1,7,4,2,6,3,5,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,9),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,1,7,4,2,6,3,5,12,9,11,10] => ([(0,6),(1,11),(2,3),(2,6),(3,6),(4,8),(4,10),(4,11),(5,7),(5,10),(5,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,7,4,2,6,3,1,5,8,12,11] => ([(0,1),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,7,4,2,6,3,11,5,1,8,10] => ([(0,3),(0,11),(1,3),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,9),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,7,4,2,6,3,1,8,5,11,9] => ([(0,2),(0,11),(1,4),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,1,8,4,9,6,2,3,5,7,12,11] => ([(0,1),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,11,8,4,9,6,2,3,5,1,7,10] => ([(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,8,4,10,6,11,3,2,5,7,9] => ([(0,11),(1,6),(1,10),(1,11),(2,7),(2,8),(2,9),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,1,9,4,10,6,2,7,3,5,11,8] => ([(0,11),(1,3),(1,11),(2,6),(2,8),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,1,8,4,2,5,7,3,9,6,12,11] => ([(0,1),(2,11),(3,8),(3,11),(4,7),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,8,4,2,5,7,3,9,1,6,10] => ([(0,10),(0,11),(1,4),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,8,4,11,5,7,3,2,10,6,9] => ([(0,11),(1,3),(1,10),(1,11),(2,7),(2,8),(2,9),(2,11),(3,5),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,1,9,4,2,11,7,5,3,10,6,8] => ([(0,11),(1,4),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,5),(3,9),(3,11),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,1,9,4,2,5,6,8,3,10,11,7] => ([(0,11),(1,8),(1,11),(2,8),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,1,2,3,5,6,7,4,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,1,2,3,5,6,7,4,12,9,11,10] => ([(0,11),(1,11),(2,11),(3,9),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,9),(10,11)],12)
[10,9,2,3,5,6,7,1,4,8,12,11] => ([(0,1),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,2,3,5,6,7,11,4,1,8,10] => ([(0,7),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,9),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,2,3,5,6,7,1,8,4,11,9] => ([(0,4),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,1,9,3,5,6,2,8,4,7,12,11] => ([(0,1),(2,11),(3,9),(3,10),(3,11),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,9,3,5,6,2,8,4,1,7,10] => ([(0,10),(0,11),(1,5),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,10,3,5,6,11,8,2,4,7,9] => ([(0,11),(1,8),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,10,3,5,6,2,7,9,4,11,8] => ([(0,11),(1,7),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,1,2,9,5,3,7,8,4,6,12,11] => ([(0,1),(2,11),(3,11),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,9,5,3,7,8,4,1,6,10] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,11,10,5,3,7,8,2,4,6,9] => ([(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,2,10,5,11,7,3,9,4,6,8] => ([(0,11),(1,11),(2,5),(2,7),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,1,2,10,5,3,6,8,9,4,11,7] => ([(0,11),(1,11),(2,8),(2,11),(3,7),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,1,2,3,4,6,7,8,9,5,12,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,3,4,6,7,8,9,1,5,10] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,11,3,4,6,7,8,2,10,5,9] => ([(0,11),(1,7),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,2,11,4,6,7,3,9,10,5,8] => ([(0,11),(1,11),(2,8),(2,10),(2,11),(3,4),(3,5),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,2,3,11,6,4,8,9,10,5,7] => ([(0,11),(1,11),(2,11),(3,7),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,8,7,12,9,10,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,5,10,7,8,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,5,12,11,8,7,10,9] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,6,5,12,7,8,9,10,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,4,3,8,5,6,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,11),(10,11)],12)
[2,1,4,3,8,5,6,7,12,9,10,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,1,4,3,10,9,6,5,8,7,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,9,6,11,8,5,10,7] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,11,6,5,8,9,10,7] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,10,5,6,7,8,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,4,3,12,11,6,7,8,5,10,9] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,5,10,7,6,9,8,11] => ([(0,3),(1,2),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,12,5,6,7,8,9,10,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,6,3,4,5,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,11),(10,11)],12)
[2,1,6,3,4,5,8,7,12,9,10,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,1,6,3,4,5,10,7,8,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,1,6,3,4,5,12,11,8,7,10,9] => ([(0,1),(2,5),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,3,4,5,12,7,8,9,10,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,1,8,7,4,3,6,5,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,7,4,3,6,5,12,9,10,11] => ([(0,1),(2,5),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,7,4,9,6,3,8,5,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,7,4,9,6,11,8,3,10,5] => ([(0,1),(2,8),(2,10),(2,11),(3,7),(3,9),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[2,1,12,7,4,11,6,3,8,9,10,5] => ([(0,1),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,9,4,3,6,7,8,5,12,11] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,9,4,11,6,7,8,3,10,5] => ([(0,1),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,4,3,10,7,6,9,8,5] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,4,3,6,7,8,9,10,5] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,8,3,4,5,6,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,8,3,4,5,6,7,12,9,10,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[2,1,10,9,4,5,6,3,8,7,12,11] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,9,4,5,6,11,8,3,10,7] => ([(0,1),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,4,5,6,3,8,9,10,7] => ([(0,1),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,3,8,5,4,7,6,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,11,8,5,4,7,6,3,10,9] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,3,8,5,10,7,4,9,6,11] => ([(0,11),(1,11),(2,3),(4,9),(4,10),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,3,10,5,4,7,8,9,6,11] => ([(0,11),(1,11),(2,3),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,3,4,5,6,7,8,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,12,11,4,5,6,7,8,3,10,9] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,3,10,5,6,7,4,9,8,11] => ([(0,11),(1,11),(2,3),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,3,4,9,6,5,8,7,10,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,3,4,5,6,7,8,9,10,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[4,1,2,3,6,5,8,7,10,9,12,11] => ([(0,7),(1,6),(2,5),(3,4),(8,11),(9,11),(10,11)],12)
[4,1,2,3,6,5,8,7,12,9,10,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[4,1,2,3,6,5,10,7,8,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[4,1,2,3,6,5,12,11,8,7,10,9] => ([(0,1),(2,5),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,1,2,3,6,5,12,7,8,9,10,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[4,1,2,3,8,5,6,7,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[4,1,2,3,8,5,6,7,12,9,10,11] => ([(0,11),(1,11),(2,11),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9)],12)
[4,1,2,3,10,9,6,5,8,7,12,11] => ([(0,1),(2,5),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,1,2,3,12,9,6,11,8,5,10,7] => ([(0,5),(1,5),(2,5),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[4,1,2,3,12,11,6,5,8,9,10,7] => ([(0,8),(1,8),(2,8),(3,4),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[4,1,2,3,10,5,6,7,8,9,12,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[4,1,2,3,12,11,6,7,8,5,10,9] => ([(0,8),(1,8),(2,8),(3,4),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[4,1,2,3,12,5,10,7,6,9,8,11] => ([(0,11),(1,11),(2,5),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,1,2,3,12,5,6,7,8,9,10,11] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[6,5,2,1,4,3,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,2,1,4,3,8,7,12,9,10,11] => ([(0,1),(2,5),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,2,1,4,3,10,7,8,9,12,11] => ([(0,1),(2,5),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,5,2,1,4,3,12,7,8,9,10,11] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[8,5,2,7,4,1,6,3,10,9,12,11] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,5,2,7,4,1,6,3,12,9,10,11] => ([(0,5),(1,5),(2,5),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[10,5,2,7,4,9,6,1,8,3,12,11] => ([(0,1),(2,8),(2,10),(2,11),(3,7),(3,9),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,5,2,7,4,9,6,11,8,1,10,3] => ([(0,8),(0,10),(0,11),(1,7),(1,9),(1,11),(2,3),(2,4),(2,9),(2,10),(2,11),(3,5),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,5,2,7,4,11,6,1,8,9,10,3] => ([(0,8),(0,10),(0,11),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(3,4),(3,9),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,5,2,9,4,1,6,7,8,3,12,11] => ([(0,1),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,2,9,4,11,6,7,8,1,10,3] => ([(0,8),(0,9),(0,11),(1,6),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,5,2,11,4,1,10,7,6,9,8,3] => ([(0,6),(0,7),(0,11),(1,6),(1,7),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,5,2,11,4,1,6,7,8,9,10,3] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,2,1,4,5,6,3,10,9,12,11] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,2,1,4,5,6,3,12,9,10,11] => ([(0,8),(1,8),(2,8),(3,4),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[10,7,2,9,4,5,6,1,8,3,12,11] => ([(0,1),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,2,9,4,5,6,11,8,1,10,3] => ([(0,8),(0,9),(0,11),(1,6),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,7,2,11,4,5,6,1,8,9,10,3] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,2,1,8,5,4,7,6,3,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,2,11,8,5,4,7,6,1,10,3] => ([(0,9),(0,10),(0,11),(1,7),(1,8),(1,11),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,1,8,5,10,7,4,9,6,3] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,1,10,5,4,7,8,9,6,3] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,2,1,4,5,6,7,8,3,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,2,11,4,5,6,7,8,1,10,3] => ([(0,9),(0,10),(0,11),(1,7),(1,8),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,1,10,5,6,7,4,9,8,3] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,1,4,9,6,5,8,7,10,3] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,1,4,5,6,7,8,9,10,3] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[6,1,2,3,4,5,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[6,1,2,3,4,5,8,7,12,9,10,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[6,1,2,3,4,5,10,7,8,9,12,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[6,1,2,3,4,5,12,11,8,7,10,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,10),(5,11),(6,7),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(10,11)],12)
[6,1,2,3,4,5,12,7,8,9,10,11] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,10),(8,10),(9,10)],12)
[8,7,2,3,4,1,6,5,10,9,12,11] => ([(0,3),(1,2),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,7,2,3,4,1,6,5,12,9,10,11] => ([(0,8),(1,8),(2,8),(3,4),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[10,7,2,3,4,9,6,1,8,5,12,11] => ([(0,1),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,7,2,3,4,9,6,11,8,1,10,5] => ([(0,8),(0,10),(0,11),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(3,4),(3,9),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,7,2,3,4,11,6,1,8,9,10,5] => ([(0,8),(0,9),(0,11),(1,8),(1,9),(1,11),(2,8),(2,9),(2,11),(3,7),(3,10),(3,11),(4,7),(4,10),(4,11),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,9,2,3,4,1,6,7,8,5,12,11] => ([(0,1),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,2,3,4,11,6,7,8,1,10,5] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,3,4,1,10,7,6,9,8,5] => ([(0,7),(0,10),(0,11),(1,7),(1,10),(1,11),(2,7),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,3,4,1,6,7,8,9,10,5] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,1,6,3,2,5,4,7,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,1,6,3,2,5,4,7,12,9,10,11] => ([(0,11),(1,11),(2,5),(3,5),(4,5),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,9,6,3,2,5,4,1,8,7,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,6,3,2,5,4,11,8,1,10,7] => ([(0,6),(0,7),(0,11),(1,6),(1,7),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,6,3,2,5,4,1,8,9,10,7] => ([(0,7),(0,10),(0,11),(1,7),(1,10),(1,11),(2,7),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,1,6,3,8,5,2,7,4,9,12,11] => ([(0,11),(1,11),(2,3),(4,9),(4,10),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,6,3,8,5,2,7,4,1,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,6,3,8,5,10,7,2,9,4,11] => ([(0,11),(1,11),(2,8),(2,10),(2,11),(3,7),(3,9),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,1,6,3,10,5,2,7,8,9,4,11] => ([(0,11),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,1,8,3,2,5,6,7,4,9,12,11] => ([(0,11),(1,11),(2,3),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,8,3,2,5,6,7,4,1,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,8,3,10,5,6,7,2,9,4,11] => ([(0,11),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,10,3,2,9,6,5,8,7,4,11] => ([(0,11),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,10,3,2,5,6,7,8,9,4,11] => ([(0,11),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,1,2,3,4,5,6,7,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,1,2,3,4,5,6,7,12,9,10,11] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(9,10)],12)
[10,9,2,3,4,5,6,1,8,7,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,2,3,4,5,6,11,8,1,10,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,3,4,5,6,1,8,9,10,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,1,8,3,4,5,2,7,6,9,12,11] => ([(0,11),(1,11),(2,3),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,8,3,4,5,2,7,6,1,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,8,3,4,5,10,7,2,9,6,11] => ([(0,11),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,10,3,4,5,2,7,8,9,6,11] => ([(0,11),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,1,2,7,4,3,6,5,8,9,12,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,2,7,4,3,6,5,8,1,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,10,7,4,3,6,5,2,9,8,11] => ([(0,11),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,2,7,4,9,6,3,8,5,10,11] => ([(0,11),(1,11),(2,11),(3,11),(4,9),(4,10),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,2,9,4,3,6,7,8,5,10,11] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,1,2,3,4,5,6,7,8,9,12,11] => ([(0,1),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[12,11,2,3,4,5,6,7,8,1,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,10,3,4,5,6,7,2,9,8,11] => ([(0,11),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,2,9,4,5,6,3,8,7,10,11] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,2,3,8,5,4,7,6,9,10,11] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,2,3,4,5,6,7,8,9,10,11] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,5,12,7,9,8,11,10] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,1,4,3,6,5,11,8,12,7,10,9] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,11),(9,11),(10,11)],12)
[2,1,4,3,10,5,7,6,9,8,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,1,4,3,12,5,7,6,9,8,11,10] => ([(0,11),(1,4),(2,3),(5,10),(5,11),(6,9),(6,11),(7,8),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,4,3,11,8,12,5,7,6,10,9] => ([(0,3),(1,2),(4,7),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,9,6,10,5,8,7,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,11),(9,11),(10,11)],12)
[2,1,4,3,9,6,12,5,8,7,11,10] => ([(0,3),(1,2),(4,7),(4,10),(5,6),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,4,3,12,5,8,7,11,6,10,9] => ([(0,3),(1,2),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,4,3,11,6,10,7,12,5,9,8] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,6,3,5,4,12,7,9,8,11,10] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[2,1,6,3,5,4,11,8,12,7,10,9] => ([(0,10),(1,2),(3,9),(3,11),(4,5),(4,10),(5,10),(6,7),(6,8),(6,9),(7,8),(7,11),(8,11),(9,11)],12)
[2,1,8,3,5,4,7,6,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,1,8,3,5,4,7,6,12,9,11,10] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[2,1,10,3,5,4,7,6,9,8,12,11] => ([(0,11),(1,4),(2,3),(5,10),(5,11),(6,9),(6,11),(7,8),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,12,3,5,4,7,6,9,8,11,10] => ([(0,11),(1,2),(3,10),(3,11),(4,9),(4,11),(5,8),(5,11),(6,7),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[2,1,11,8,12,3,5,4,7,6,10,9] => ([(0,1),(2,9),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[2,1,9,6,10,3,5,4,8,7,12,11] => ([(0,3),(1,2),(4,7),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,9,6,12,3,5,4,8,7,11,10] => ([(0,1),(2,3),(2,11),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,12,3,5,4,8,7,11,6,10,9] => ([(0,11),(1,2),(3,4),(3,11),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,11,6,10,7,12,3,5,4,9,8] => ([(0,1),(2,3),(2,5),(2,10),(2,11),(3,5),(3,10),(3,11),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,7,4,8,3,6,5,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,11),(9,11),(10,11)],12)
[2,1,7,4,8,3,6,5,12,9,11,10] => ([(0,10),(1,2),(3,9),(3,11),(4,5),(4,10),(5,10),(6,7),(6,8),(6,9),(7,8),(7,11),(8,11),(9,11)],12)
[2,1,7,4,10,3,6,5,9,8,12,11] => ([(0,3),(1,2),(4,7),(4,10),(5,6),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,7,4,12,3,6,5,9,8,11,10] => ([(0,1),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,7),(6,10),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,7,4,11,8,12,3,6,5,10,9] => ([(0,1),(2,6),(2,10),(3,4),(3,9),(3,11),(4,9),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[2,1,10,3,6,5,9,4,8,7,12,11] => ([(0,3),(1,2),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,12,3,6,5,9,4,8,7,11,10] => ([(0,11),(1,2),(3,4),(3,11),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,11,4,8,7,12,3,6,5,10,9] => ([(0,1),(2,10),(2,11),(3,4),(3,9),(3,11),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[2,1,12,3,6,5,10,7,11,4,9,8] => ([(0,1),(2,11),(3,9),(3,10),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,9,4,8,5,10,3,7,6,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,9,4,8,5,12,3,7,6,11,10] => ([(0,1),(2,3),(2,8),(3,8),(4,9),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[2,1,12,3,7,6,11,4,8,5,10,9] => ([(0,1),(2,11),(3,9),(3,10),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[2,1,10,5,12,3,7,6,11,4,9,8] => ([(0,1),(2,3),(2,10),(2,11),(3,9),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[2,1,10,5,11,4,9,6,12,3,8,7] => ([(0,1),(2,5),(2,10),(2,11),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[4,1,3,2,6,5,12,7,9,8,11,10] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[4,1,3,2,6,5,11,8,12,7,10,9] => ([(0,10),(1,2),(3,9),(3,11),(4,5),(4,10),(5,10),(6,7),(6,8),(6,9),(7,8),(7,11),(8,11),(9,11)],12)
[4,1,3,2,10,5,7,6,9,8,12,11] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[4,1,3,2,12,5,7,6,9,8,11,10] => ([(0,11),(1,10),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[4,1,3,2,11,8,12,5,7,6,10,9] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,10),(3,11),(4,10),(4,11),(5,7),(5,10),(5,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[4,1,3,2,9,6,10,5,8,7,12,11] => ([(0,10),(1,2),(3,9),(3,11),(4,5),(4,10),(5,10),(6,7),(6,8),(6,9),(7,8),(7,11),(8,11),(9,11)],12)
[4,1,3,2,9,6,12,5,8,7,11,10] => ([(0,9),(1,2),(1,9),(2,9),(3,4),(3,11),(4,11),(5,6),(5,10),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11)],12)
[4,1,3,2,12,5,8,7,11,6,10,9] => ([(0,8),(1,11),(2,3),(2,8),(3,8),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,9),(6,11),(7,9),(7,11),(9,10),(9,11),(10,11)],12)
[4,1,3,2,11,6,10,7,12,5,9,8] => ([(0,6),(1,2),(1,6),(2,6),(3,10),(3,11),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[6,1,3,2,5,4,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[6,1,3,2,5,4,8,7,12,9,11,10] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[6,1,3,2,5,4,10,7,9,8,12,11] => ([(0,11),(1,10),(2,3),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[6,1,3,2,5,4,12,7,9,8,11,10] => ([(0,11),(1,10),(2,5),(2,10),(3,4),(3,10),(4,10),(5,10),(6,9),(6,11),(7,8),(7,11),(8,11),(9,11)],12)
[6,1,3,2,5,4,11,8,12,7,10,9] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,10),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],12)
[8,1,3,2,5,4,7,6,10,9,12,11] => ([(0,11),(1,4),(2,3),(5,10),(5,11),(6,9),(6,11),(7,8),(7,11),(8,11),(9,11),(10,11)],12)
[8,1,3,2,5,4,7,6,12,9,11,10] => ([(0,11),(1,10),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10)],12)
[10,1,3,2,5,4,7,6,9,8,12,11] => ([(0,11),(1,2),(3,10),(3,11),(4,9),(4,11),(5,8),(5,11),(6,7),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[11,8,12,1,3,2,5,4,7,6,10,9] => ([(0,9),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[9,6,10,1,3,2,5,4,8,7,12,11] => ([(0,1),(2,9),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[9,6,12,1,3,2,5,4,8,7,11,10] => ([(0,1),(0,11),(1,11),(2,9),(2,10),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10)],12)
[12,1,3,2,5,4,8,7,11,6,10,9] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,10,7,12,1,3,2,5,4,9,8] => ([(0,1),(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,10),(8,11),(10,11)],12)
[7,4,8,1,3,2,6,5,10,9,12,11] => ([(0,3),(1,2),(4,7),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,4,8,1,3,2,6,5,12,9,11,10] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,10),(3,11),(4,10),(4,11),(5,7),(5,10),(5,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,4,10,1,3,2,6,5,9,8,12,11] => ([(0,1),(2,3),(2,11),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,4,12,1,3,2,6,5,9,8,11,10] => ([(0,3),(0,11),(1,2),(1,11),(2,11),(3,11),(4,7),(4,10),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,4,11,8,12,1,3,2,6,5,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[10,1,3,2,6,5,9,4,8,7,12,11] => ([(0,11),(1,2),(3,4),(3,11),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,3,2,6,5,9,4,8,7,11,10] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[11,4,8,7,12,1,3,2,6,5,10,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,5),(2,6),(2,7),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,11)],12)
[12,1,3,2,6,5,10,7,11,4,9,8] => ([(0,11),(1,2),(1,11),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,8,5,10,1,3,2,7,6,12,11] => ([(0,1),(2,3),(2,5),(2,10),(2,11),(3,5),(3,10),(3,11),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,8,5,12,1,3,2,7,6,11,10] => ([(0,1),(0,10),(1,10),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[12,1,3,2,7,6,11,4,8,5,10,9] => ([(0,11),(1,2),(1,11),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[10,5,12,1,3,2,7,6,11,4,9,8] => ([(0,8),(0,10),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,9),(3,10),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11)],12)
[10,5,11,4,9,6,12,1,3,2,8,7] => ([(0,1),(0,2),(0,7),(0,10),(0,11),(1,2),(1,7),(1,10),(1,11),(2,6),(2,8),(2,9),(3,5),(3,6),(3,8),(3,9),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,2,6,1,4,3,8,7,10,9,12,11] => ([(0,5),(1,4),(2,3),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,11),(9,11),(10,11)],12)
[5,2,6,1,4,3,8,7,12,9,11,10] => ([(0,10),(1,2),(3,9),(3,11),(4,5),(4,10),(5,10),(6,7),(6,8),(6,9),(7,8),(7,11),(8,11),(9,11)],12)
[5,2,6,1,4,3,10,7,9,8,12,11] => ([(0,10),(1,2),(3,9),(3,11),(4,5),(4,10),(5,10),(6,7),(6,8),(6,9),(7,8),(7,11),(8,11),(9,11)],12)
[5,2,6,1,4,3,12,7,9,8,11,10] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,10),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],12)
[5,2,6,1,4,3,11,8,12,7,10,9] => ([(0,9),(0,11),(1,8),(1,10),(2,4),(2,5),(2,8),(3,6),(3,7),(3,9),(4,5),(4,10),(5,10),(6,7),(6,11),(7,11),(8,10),(9,11)],12)
[5,2,8,1,4,3,7,6,10,9,12,11] => ([(0,3),(1,2),(4,7),(4,10),(5,6),(5,11),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,2,8,1,4,3,7,6,12,9,11,10] => ([(0,9),(1,2),(1,9),(2,9),(3,4),(3,11),(4,11),(5,6),(5,10),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11)],12)
[5,2,10,1,4,3,7,6,9,8,12,11] => ([(0,1),(2,5),(2,11),(3,4),(3,11),(4,11),(5,11),(6,7),(6,10),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,2,12,1,4,3,7,6,9,8,11,10] => ([(0,5),(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,11),(6,7),(6,10),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,2,11,8,12,1,4,3,7,6,10,9] => ([(0,5),(0,8),(1,2),(1,10),(1,11),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[5,2,9,6,10,1,4,3,8,7,12,11] => ([(0,1),(2,6),(2,10),(3,4),(3,9),(3,11),(4,9),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[5,2,9,6,12,1,4,3,8,7,11,10] => ([(0,1),(0,11),(1,11),(2,5),(2,7),(3,4),(3,10),(3,11),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(6,10),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[5,2,12,1,4,3,8,7,11,6,10,9] => ([(0,7),(0,10),(1,2),(1,10),(1,11),(2,10),(2,11),(3,4),(3,9),(3,11),(4,9),(4,11),(5,6),(5,8),(5,11),(6,8),(6,11),(7,10),(7,11),(8,9),(8,11),(9,11)],12)
[5,2,11,6,10,7,12,1,4,3,9,8] => ([(0,4),(0,10),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,7),(2,11),(3,5),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[8,1,4,3,7,2,6,5,10,9,12,11] => ([(0,3),(1,2),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,1,4,3,7,2,6,5,12,9,11,10] => ([(0,8),(1,11),(2,3),(2,8),(3,8),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,9),(6,11),(7,9),(7,11),(9,10),(9,11),(10,11)],12)
[10,1,4,3,7,2,6,5,9,8,12,11] => ([(0,11),(1,2),(3,4),(3,11),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,4,3,7,2,6,5,9,8,11,10] => ([(0,11),(1,4),(1,11),(2,3),(2,11),(3,11),(4,11),(5,6),(5,10),(5,11),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,12,1,4,3,7,2,6,5,10,9] => ([(0,9),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[9,2,6,5,10,1,4,3,8,7,12,11] => ([(0,1),(2,10),(2,11),(3,4),(3,9),(3,11),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[9,2,6,5,12,1,4,3,8,7,11,10] => ([(0,9),(0,11),(1,2),(1,10),(2,10),(3,4),(3,10),(3,11),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,1,4,3,8,7,11,2,6,5,10,9] => ([(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,4),(3,9),(3,11),(4,9),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[11,2,6,5,10,7,12,1,4,3,9,8] => ([(0,10),(0,11),(1,2),(1,6),(1,9),(1,11),(2,6),(2,9),(2,11),(3,4),(3,7),(3,8),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[10,1,4,3,8,5,9,2,7,6,12,11] => ([(0,1),(2,11),(3,9),(3,10),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,4,3,8,5,9,2,7,6,11,10] => ([(0,11),(1,2),(1,11),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[11,2,7,6,12,1,4,3,8,5,10,9] => ([(0,7),(0,11),(1,6),(1,10),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,11)],12)
[10,5,11,2,7,6,12,1,4,3,9,8] => ([(0,1),(0,3),(0,10),(0,11),(1,3),(1,10),(1,11),(2,4),(2,7),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,5,12,1,4,3,9,6,11,2,8,7] => ([(0,7),(0,10),(0,11),(1,5),(1,6),(1,9),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,2,6,3,8,1,5,4,10,9,12,11] => ([(0,3),(1,2),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[7,2,6,3,8,1,5,4,12,9,11,10] => ([(0,6),(1,2),(1,6),(2,6),(3,10),(3,11),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[7,2,6,3,10,1,5,4,9,8,12,11] => ([(0,1),(2,3),(2,8),(3,8),(4,9),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[7,2,6,3,12,1,5,4,9,8,11,10] => ([(0,3),(0,11),(1,2),(1,11),(2,11),(3,11),(4,8),(4,10),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10)],12)
[7,2,6,3,11,8,12,1,5,4,10,9] => ([(0,10),(0,11),(1,5),(1,10),(1,11),(2,3),(2,6),(2,9),(3,6),(3,9),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[10,1,5,4,9,2,6,3,8,7,12,11] => ([(0,1),(2,11),(3,9),(3,10),(3,11),(4,5),(4,10),(4,11),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,1,5,4,9,2,6,3,8,7,11,10] => ([(0,11),(1,2),(1,11),(2,11),(3,4),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[11,2,6,3,8,7,12,1,5,4,10,9] => ([(0,10),(0,11),(1,6),(1,10),(1,11),(2,3),(2,7),(2,11),(3,7),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,11),(9,11),(10,11)],12)
[12,1,5,4,10,7,11,2,6,3,9,8] => ([(0,11),(1,2),(1,7),(1,10),(1,11),(2,7),(2,10),(2,11),(3,4),(3,8),(3,9),(3,11),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,10,1,5,4,9,2,7,6,12,11] => ([(0,1),(2,3),(2,10),(2,11),(3,9),(3,11),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,3,12,1,5,4,9,2,7,6,11,10] => ([(0,1),(0,11),(1,11),(2,3),(2,10),(2,11),(3,9),(3,10),(4,5),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,3,11,2,7,6,12,1,5,4,10,9] => ([(0,3),(0,9),(0,10),(1,2),(1,4),(1,11),(2,4),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[11,2,7,6,12,1,5,4,10,3,9,8] => ([(0,4),(0,11),(1,2),(1,3),(1,10),(1,11),(2,3),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11)],12)
[12,1,5,4,10,3,9,6,11,2,8,7] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,10),(2,11),(3,5),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,9,2,7,4,10,1,6,5,12,11] => ([(0,1),(2,5),(2,10),(2,11),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,9,2,7,4,12,1,6,5,11,10] => ([(0,1),(0,7),(1,7),(2,4),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,12,1,6,5,11,2,7,4,10,9] => ([(0,1),(0,7),(0,10),(1,10),(1,11),(2,3),(2,8),(2,11),(3,8),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11)],12)
[12,1,6,5,11,2,7,4,10,3,9,8] => ([(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,10),(2,11),(3,5),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,3,9,4,12,1,6,5,11,2,8,7] => ([(0,7),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,5),(2,6),(2,8),(2,10),(3,4),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(9,10),(9,11),(10,11)],12)
[10,3,9,4,11,2,8,5,12,1,7,6] => ([(0,5),(0,6),(0,11),(1,7),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,8,2,1,6,4,3,5,7,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,2,9,1,10,6,4,3,5,7,8,11] => ([(0,11),(1,4),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,12,2,1,9,6,4,3,5,7,8,10] => ([(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,2,4,1,11,3,12,6,5,7,8,9] => ([(0,6),(0,11),(1,2),(1,6),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[7,12,10,2,1,8,4,3,5,6,9,11] => ([(0,11),(1,10),(1,11),(2,3),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(9,10),(9,11),(10,11)],12)
[2,11,7,1,12,8,4,3,5,6,9,10] => ([(0,3),(1,10),(1,11),(2,10),(2,11),(3,9),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11)],12)
[9,12,2,1,10,7,4,3,5,6,8,11] => ([(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11)],12)
[2,11,1,12,9,7,4,3,5,6,8,10] => ([(0,2),(1,9),(1,11),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[10,11,2,1,4,3,12,7,5,6,8,9] => ([(0,3),(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[8,12,2,1,9,4,3,10,5,6,7,11] => ([(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[2,11,1,12,8,4,3,9,5,6,7,10] => ([(0,2),(1,10),(1,11),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[2,10,1,11,4,3,12,8,5,6,7,9] => ([(0,1),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[2,9,1,10,4,3,11,5,12,6,7,8] => ([(0,1),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,8,5,2,1,6,3,4,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,11,2,1,12,8,6,3,4,7,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,5),(3,11),(4,5),(4,11),(5,7),(5,8),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,5,2,1,10,6,3,4,7,8,11] => ([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[11,5,2,1,12,9,6,3,4,7,8,10] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,5),(3,11),(4,5),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,11,2,1,5,3,12,6,4,7,8,9] => ([(0,1),(0,10),(0,11),(1,10),(1,11),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[12,10,7,2,1,8,5,3,4,6,9,11] => ([(0,11),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,2,1,12,8,5,3,4,6,9,10] => ([(0,9),(0,11),(1,9),(1,11),(2,3),(2,10),(2,11),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(10,11)],12)
[12,9,2,1,10,7,5,3,4,6,8,11] => ([(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[11,2,1,12,9,7,5,3,4,6,8,10] => ([(0,1),(0,11),(1,11),(2,9),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[10,11,2,1,3,12,7,5,4,6,8,9] => ([(0,10),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[8,9,2,1,12,3,10,5,4,6,7,11] => ([(0,11),(1,2),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11)],12)
[11,8,2,1,12,3,9,5,4,6,7,10] => ([(0,9),(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(10,11)],12)
[2,10,1,11,3,12,8,5,4,6,7,9] => ([(0,2),(1,10),(1,11),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[2,9,1,10,3,11,5,4,12,6,7,8] => ([(0,2),(1,10),(1,11),(2,11),(3,6),(3,7),(3,8),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,6,2,1,7,3,8,4,5,9,11] => ([(0,11),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,2,1,12,7,3,8,4,5,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,3),(2,9),(2,11),(3,9),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[12,9,2,1,10,6,3,7,4,5,8,11] => ([(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,2,1,12,9,6,3,7,4,5,8,10] => ([(0,1),(0,11),(1,11),(2,9),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[10,2,1,11,6,3,12,7,4,5,8,9] => ([(0,1),(0,11),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11)],12)
[12,8,2,1,9,3,10,6,4,5,7,11] => ([(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,2,1,12,8,3,9,6,4,5,7,10] => ([(0,1),(0,11),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,2,1,11,3,12,8,6,4,5,7,9] => ([(0,1),(0,11),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[2,9,1,10,3,11,4,12,6,5,7,8] => ([(0,2),(1,10),(1,11),(2,11),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,7,2,1,8,3,9,4,10,5,6,11] => ([(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,2,1,12,7,3,8,4,9,5,6,10] => ([(0,1),(0,11),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,2,1,11,3,12,7,4,8,5,6,9] => ([(0,1),(0,11),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[9,2,1,10,3,11,4,12,7,5,6,8] => ([(0,1),(0,11),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,5),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[8,2,1,9,3,10,4,11,5,12,6,7] => ([(0,1),(0,11),(1,11),(2,10),(2,11),(3,8),(3,9),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,10,8,6,3,1,4,2,5,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,3,1,8,6,4,2,5,7,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,5),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[9,12,3,1,10,6,4,2,5,7,8,11] => ([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,4),(3,10),(3,11),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[3,11,1,12,9,6,4,2,5,7,8,10] => ([(0,2),(0,11),(1,9),(1,11),(2,7),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[3,10,4,1,11,2,12,6,5,7,8,9] => ([(0,5),(0,8),(1,5),(1,8),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11)],12)
[12,10,7,3,1,8,4,2,5,6,9,11] => ([(0,11),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,3,1,12,8,4,2,5,6,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,5),(2,9),(2,11),(3,7),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[12,9,3,1,10,7,4,2,5,6,8,11] => ([(0,11),(1,9),(1,10),(1,11),(2,5),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,3,1,12,9,7,4,2,5,6,8,10] => ([(0,9),(0,11),(1,3),(1,11),(2,9),(2,10),(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[3,10,1,11,4,2,12,7,5,6,8,9] => ([(0,1),(0,7),(1,11),(2,7),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[12,8,3,1,9,4,2,10,5,6,7,11] => ([(0,11),(1,7),(1,10),(1,11),(2,3),(2,4),(2,5),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,3,1,12,8,4,2,9,5,6,7,10] => ([(0,10),(0,11),(1,2),(1,11),(2,8),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,3,1,11,4,2,12,8,5,6,7,9] => ([(0,3),(0,11),(1,7),(1,10),(1,11),(2,8),(2,10),(2,11),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[9,3,1,10,4,2,11,5,12,6,7,8] => ([(0,4),(0,11),(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,5),(3,10),(3,11),(4,9),(4,11),(5,6),(5,7),(5,8),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,10,8,5,1,6,3,2,4,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[5,11,1,12,8,6,3,2,4,7,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,4),(2,11),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,5,1,10,6,3,2,4,7,8,11] => ([(0,11),(1,8),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[11,5,1,12,9,6,3,2,4,7,8,10] => ([(0,10),(0,11),(1,5),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,1,11,5,2,12,6,4,7,8,9] => ([(0,1),(0,7),(1,11),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[12,10,7,1,8,5,3,2,4,6,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,1,12,8,5,3,2,4,6,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11)],12)
[12,9,1,10,7,5,3,2,4,6,8,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,9,7,5,3,2,4,6,8,10] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,10,1,11,2,12,7,5,4,6,8,9] => ([(0,1),(0,4),(1,11),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[8,9,1,12,3,2,10,5,4,6,7,11] => ([(0,11),(1,9),(1,10),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[11,8,1,12,3,2,9,5,4,6,7,10] => ([(0,10),(0,11),(1,9),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11)],12)
[10,3,1,11,2,12,8,5,4,6,7,9] => ([(0,3),(0,11),(1,3),(1,9),(1,11),(2,8),(2,9),(2,11),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(9,10),(10,11)],12)
[9,3,1,10,2,11,5,4,12,6,7,8] => ([(0,3),(0,11),(1,6),(1,7),(1,8),(2,3),(2,10),(2,11),(3,11),(4,5),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,10,6,1,7,3,2,8,4,5,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,1,12,7,3,2,8,4,5,9,10] => ([(0,9),(0,11),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11)],12)
[12,9,1,10,6,3,2,7,4,5,8,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,9,6,3,2,7,4,5,8,10] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,6,3,2,12,7,4,5,8,9] => ([(0,11),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(9,10),(9,11)],12)
[12,8,1,9,3,2,10,6,4,5,7,11] => ([(0,11),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,8,3,2,9,6,4,5,7,10] => ([(0,11),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,3,2,12,8,6,4,5,7,9] => ([(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[9,3,1,10,2,11,4,12,6,5,7,8] => ([(0,3),(0,11),(1,9),(1,10),(1,11),(2,3),(2,10),(2,11),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[12,7,1,8,3,2,9,4,10,5,6,11] => ([(0,11),(1,10),(1,11),(2,7),(2,8),(2,11),(3,4),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,7,3,2,8,4,9,5,6,10] => ([(0,11),(1,10),(1,11),(2,3),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,3,2,12,7,4,8,5,6,9] => ([(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[9,1,10,3,2,11,4,12,7,5,6,8] => ([(0,11),(1,2),(1,10),(1,11),(2,10),(2,11),(3,8),(3,10),(3,11),(4,5),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[8,1,9,3,2,10,4,11,5,12,6,7] => ([(0,11),(1,8),(1,9),(2,3),(2,10),(2,11),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,10,8,4,1,5,2,6,3,7,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[4,11,1,12,8,5,2,6,3,7,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,4),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,4,1,10,5,2,6,3,7,8,11] => ([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,4,1,12,9,5,2,6,3,7,8,10] => ([(0,9),(0,11),(1,4),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,7),(4,8),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[10,4,1,11,5,2,12,6,3,7,8,9] => ([(0,7),(0,11),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,5),(4,7),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,9),(7,11),(8,9),(9,10),(9,11)],12)
[12,10,7,1,8,4,2,5,3,6,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,1,12,8,4,2,5,3,6,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,10),(9,11)],12)
[12,9,1,10,7,4,2,5,3,6,8,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,9,7,4,2,5,3,6,8,10] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,4,1,11,2,12,7,5,3,6,8,9] => ([(0,5),(0,11),(1,5),(1,10),(1,11),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[12,8,1,9,4,2,10,5,3,6,7,11] => ([(0,11),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,8,4,2,9,5,3,6,7,10] => ([(0,11),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,4,2,12,8,5,3,6,7,9] => ([(0,11),(1,8),(1,10),(1,11),(2,5),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[9,1,10,4,2,11,5,3,12,6,7,8] => ([(0,11),(1,4),(1,5),(1,6),(2,7),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,10),(4,11),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[12,10,6,1,7,2,8,4,3,5,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,6,1,12,7,2,8,4,3,5,9,10] => ([(0,9),(0,11),(1,10),(1,11),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,11)],12)
[12,9,1,10,6,2,7,4,3,5,8,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,9,6,2,7,4,3,5,8,10] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,6,2,12,7,4,3,5,8,9] => ([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11)],12)
[12,8,1,9,2,10,6,4,3,5,7,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,8,2,9,6,4,3,5,7,10] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,2,12,8,6,4,3,5,7,9] => ([(0,11),(1,10),(1,11),(2,8),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[9,1,10,4,2,11,3,12,6,5,7,8] => ([(0,11),(1,6),(1,10),(1,11),(2,5),(2,7),(2,10),(2,11),(3,5),(3,7),(3,10),(3,11),(4,6),(4,7),(4,10),(4,11),(5,8),(5,9),(6,10),(6,11),(7,8),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,7,1,8,2,9,4,3,10,5,6,11] => ([(0,11),(1,10),(1,11),(2,7),(2,8),(2,11),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,7,2,8,4,3,9,5,6,10] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,2,12,7,4,3,8,5,6,9] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[9,1,10,2,11,4,3,12,7,5,6,8] => ([(0,11),(1,10),(1,11),(2,3),(2,8),(2,10),(2,11),(3,8),(3,10),(3,11),(4,5),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[8,1,9,2,10,4,3,11,5,12,6,7] => ([(0,11),(1,10),(1,11),(2,8),(2,9),(3,6),(3,8),(3,9),(4,5),(4,7),(4,10),(4,11),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,10,5,1,6,2,7,3,8,4,9,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,5,1,12,6,2,7,3,8,4,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,1,10,5,2,6,3,7,4,8,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,9,5,2,6,3,7,4,8,10] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,5,2,12,6,3,7,4,8,9] => ([(0,11),(1,8),(1,10),(1,11),(2,8),(2,10),(2,11),(3,5),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[12,8,1,9,2,10,5,3,6,4,7,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[11,1,12,8,2,9,5,3,6,4,7,10] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,2,12,8,5,3,6,4,7,9] => ([(0,11),(1,10),(1,11),(2,8),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[9,1,10,2,11,5,3,12,6,4,7,8] => ([(0,11),(1,10),(1,11),(2,4),(2,8),(2,10),(2,11),(3,4),(3,8),(3,10),(3,11),(4,7),(4,9),(5,6),(5,8),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[12,7,1,8,2,9,3,10,5,4,6,11] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,1,12,7,2,8,3,9,5,4,6,10] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,2,12,7,3,8,5,4,6,9] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[9,1,10,2,11,3,12,7,5,4,6,8] => ([(0,11),(1,10),(1,11),(2,8),(2,10),(2,11),(3,5),(3,8),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11)],12)
[8,1,9,2,10,3,11,5,4,12,6,7] => ([(0,11),(1,8),(1,9),(2,10),(2,11),(3,7),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,6,1,7,2,8,3,9,4,10,5,11] => ([(0,11),(1,10),(1,11),(2,9),(2,11),(3,8),(3,9),(3,11),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,1,12,6,2,7,3,8,4,9,5,10] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,1,11,2,12,6,3,7,4,8,5,9] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[9,1,10,2,11,3,12,6,4,7,5,8] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[8,1,9,2,10,3,11,4,12,6,5,7] => ([(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[3,2,5,4,7,6,9,8,10,12,11,1] => ([(0,11),(1,10),(1,11),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,5,4,7,6,8,11,9,10,12,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,7,6,8,10,9,12,11,1] => ([(0,11),(1,10),(1,11),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,5,4,7,6,8,9,12,10,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,6,9,7,8,11,10,12,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,6,9,7,8,10,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,6,8,7,11,9,10,12,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,6,8,7,10,9,12,11,1] => ([(0,11),(1,10),(1,11),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,5,4,6,8,7,9,12,10,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,6,7,11,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,6,7,10,8,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,6,7,9,8,12,10,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,5,4,6,7,8,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,7,5,6,9,8,11,10,12,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,7,5,6,9,8,10,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,7,5,6,8,11,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[3,2,4,7,5,6,8,10,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,7,5,6,8,9,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[3,2,4,6,5,9,7,8,11,10,12,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,6,5,9,7,8,10,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,6,5,8,7,11,9,10,12,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,6,5,8,7,10,9,12,11,1] => ([(0,11),(1,10),(1,11),(2,9),(2,11),(3,8),(3,11),(4,7),(4,11),(5,6),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[3,2,4,6,5,8,7,9,12,10,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,6,5,7,11,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,6,5,7,10,8,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,6,5,7,9,8,12,10,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,6,5,7,8,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,9,6,7,8,11,10,12,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,9,6,7,8,10,12,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,8,6,7,11,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[3,2,4,5,8,6,7,10,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,8,6,7,9,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[3,2,4,5,7,6,11,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,7,6,10,8,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,7,6,9,8,12,10,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,7,6,8,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,6,11,7,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,6,10,7,8,9,12,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,6,9,7,8,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[3,2,4,5,6,8,7,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[3,2,4,5,6,7,12,8,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,5,3,4,7,6,9,8,11,10,12,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,5,3,4,7,6,9,8,10,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,5,3,4,7,6,8,11,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,5,3,4,7,6,8,10,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,5,3,4,7,6,8,9,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,5,3,4,6,9,7,8,11,10,12,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,5,3,4,6,9,7,8,10,12,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,5,3,4,6,8,7,11,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,5,3,4,6,8,7,10,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,5,3,4,6,8,7,9,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,5,3,4,6,7,11,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,5,3,4,6,7,10,8,9,12,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,5,3,4,6,7,9,8,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,5,3,4,6,7,8,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,4,3,7,5,6,9,8,11,10,12,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,7,5,6,9,8,10,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,7,5,6,8,11,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,4,3,7,5,6,8,10,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,7,5,6,8,9,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,4,3,6,5,9,7,8,11,10,12,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,6,5,9,7,8,10,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,6,5,8,7,11,9,10,12,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,6,5,8,7,9,12,10,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,6,5,7,11,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,6,5,7,10,8,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,6,5,7,9,8,12,10,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,6,5,7,8,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,9,6,7,8,11,10,12,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,9,6,7,8,10,12,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,8,6,7,11,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,4,3,5,8,6,7,10,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,8,6,7,9,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,4,3,5,7,6,11,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,7,6,10,8,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,7,6,9,8,12,10,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,7,6,8,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,6,11,7,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,6,10,7,8,9,12,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,6,9,7,8,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,4,3,5,6,8,7,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,4,3,5,6,7,12,8,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,7,4,5,6,9,8,11,10,12,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,7,4,5,6,9,8,10,12,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,7,4,5,6,8,11,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,7,4,5,6,8,10,9,12,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,7,4,5,6,8,9,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,6,4,5,9,7,8,11,10,12,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,6,4,5,9,7,8,10,12,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,6,4,5,8,7,11,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,6,4,5,8,7,10,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,6,4,5,8,7,9,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,6,4,5,7,11,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,6,4,5,7,10,8,9,12,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,6,4,5,7,9,8,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,6,4,5,7,8,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,5,4,9,6,7,8,11,10,12,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,5,4,9,6,7,8,10,12,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,5,4,8,6,7,11,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,5,4,8,6,7,10,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,5,4,8,6,7,9,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,5,4,7,6,11,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,5,4,7,6,10,8,9,12,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,5,4,7,6,9,8,12,10,11,1] => ([(0,11),(1,11),(2,7),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,5,4,7,6,8,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,5,4,6,11,7,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,5,4,6,10,7,8,9,12,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,5,4,6,9,7,8,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,5,4,6,8,7,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,5,4,6,7,12,8,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,9,5,6,7,8,11,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,9,5,6,7,8,10,12,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,8,5,6,7,11,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,4,8,5,6,7,10,9,12,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,8,5,6,7,9,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,4,7,5,6,11,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,4,7,5,6,10,8,9,12,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,4,7,5,6,9,8,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,4,7,5,6,8,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,4,6,5,11,7,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,6,5,10,7,8,9,12,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,6,5,9,7,8,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,4),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,4,6,5,8,7,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,6),(3,11),(4,5),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,6,5,7,12,8,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,5,11,6,7,8,9,10,12,1] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,5,10,6,7,8,9,12,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[2,3,4,5,9,6,7,8,12,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,4,5,8,6,7,12,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,11),(8,9),(8,11),(9,11),(10,11)],12)
[2,3,4,5,7,6,12,8,9,10,11,1] => ([(0,11),(1,11),(2,11),(3,11),(4,5),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,9,5,10,7,1,2,4,8,3,6] => ([(0,1),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,9),(1,10),(1,11),(2,4),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,5,12,10,7,1,2,4,8,3,6] => ([(0,3),(0,6),(0,8),(0,9),(0,10),(0,11),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,1,2,4,9,5,12,11,8,3,6] => ([(0,9),(0,11),(1,9),(1,11),(2,9),(2,10),(2,11),(3,4),(3,7),(3,8),(3,10),(4,7),(4,8),(4,10),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,7,1,2,4,9,5,11,8,3,6] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,1,2,4,12,9,5,11,8,3,6] => ([(0,9),(0,11),(1,9),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(9,10),(9,11),(10,11)],12)
[8,3,7,1,2,4,12,11,9,5,10,6] => ([(0,10),(0,11),(1,2),(1,3),(1,11),(2,10),(2,11),(3,10),(3,11),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(8,9),(9,10),(9,11),(10,11)],12)
[8,3,7,1,2,4,11,9,5,12,10,6] => ([(0,6),(0,10),(1,9),(1,11),(2,3),(2,4),(2,11),(3,9),(3,11),(4,9),(4,11),(5,7),(5,8),(5,10),(6,7),(6,10),(7,8),(7,10),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,8,3,7,1,2,4,9,5,10,6] => ([(0,7),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,10),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,3,7,1,2,4,9,5,12,10,6] => ([(0,3),(0,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,11),(3,8),(3,11),(4,5),(4,6),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,5,11,8,3,7,1,2,4,10,6] => ([(0,3),(0,10),(0,11),(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,12,11,7,1,2,4,9,5,10,6] => ([(0,5),(0,6),(0,8),(1,7),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[8,3,11,7,1,2,4,9,5,12,10,6] => ([(0,4),(0,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,11),(3,5),(3,6),(3,9),(4,8),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[8,3,12,9,5,11,7,1,2,4,10,6] => ([(0,6),(0,7),(0,9),(1,4),(1,8),(1,11),(2,3),(2,5),(2,6),(2,7),(2,9),(2,11),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[12,8,3,9,5,11,7,1,2,4,10,6] => ([(0,4),(0,8),(0,11),(1,6),(1,7),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,1,2,5,12,11,9,4,8,3,6] => ([(0,9),(0,11),(1,9),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,9),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(6,7),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,7,1,2,5,11,9,4,8,3,6] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,10,7,1,2,5,12,11,8,3,6] => ([(0,1),(0,2),(0,10),(0,11),(1,8),(1,9),(1,11),(2,8),(2,9),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(5,6),(5,7),(5,10),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[9,4,12,10,7,1,2,5,11,8,3,6] => ([(0,5),(0,6),(0,10),(0,11),(1,3),(1,4),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,11),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[12,9,4,10,7,1,2,5,11,8,3,6] => ([(0,5),(0,6),(0,9),(0,11),(1,2),(1,3),(1,9),(1,10),(1,11),(2,7),(2,8),(2,10),(2,11),(3,7),(3,8),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,9,4,8,3,7,1,2,5,10,6] => ([(0,3),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,4,8,3,7,1,2,5,12,10,6] => ([(0,1),(0,7),(1,7),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,12,11,8,3,7,1,2,5,10,6] => ([(0,3),(0,10),(0,11),(1,4),(1,5),(1,6),(1,8),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[9,4,11,8,3,7,1,2,5,12,10,6] => ([(0,1),(0,7),(1,7),(1,11),(2,4),(2,5),(2,6),(2,10),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,8,3,7,1,2,5,12,9,4,10,6] => ([(0,6),(0,8),(0,11),(1,2),(1,3),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,9,4,12,11,7,1,2,5,10,6] => ([(0,8),(0,9),(0,10),(1,5),(1,6),(1,7),(2,4),(2,8),(2,9),(2,10),(3,4),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,9),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,9,4,11,7,1,2,5,12,10,6] => ([(0,2),(0,9),(1,7),(1,8),(1,11),(2,5),(2,9),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,11,7,1,2,5,12,9,4,10,6] => ([(0,4),(0,5),(0,10),(1,6),(1,8),(1,11),(2,6),(2,7),(2,8),(2,11),(3,7),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,7,1,2,5,12,8,3,9,4,10,6] => ([(0,10),(0,11),(1,10),(1,11),(2,8),(2,9),(2,11),(3,7),(3,8),(3,9),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(9,10),(9,11),(10,11)],12)
[10,5,12,11,9,4,8,3,7,1,2,6] => ([(0,3),(0,7),(0,8),(0,9),(0,10),(1,2),(1,4),(1,5),(1,6),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,5,11,9,4,8,3,7,1,2,6] => ([(0,2),(0,4),(0,7),(0,8),(0,10),(0,11),(1,3),(1,5),(1,6),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,10,5,12,11,8,3,7,1,2,6] => ([(0,7),(0,9),(0,10),(0,11),(1,5),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[9,4,12,10,5,11,8,3,7,1,2,6] => ([(0,6),(0,9),(0,10),(0,11),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,9,4,10,5,11,8,3,7,1,2,6] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,9),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,3,9,4,10,5,12,11,7,1,2,6] => ([(0,8),(0,10),(0,11),(1,7),(1,8),(1,10),(1,11),(2,5),(2,7),(2,8),(2,10),(2,11),(3,4),(3,6),(3,9),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,3,9,4,12,10,5,11,7,1,2,6] => ([(0,8),(0,10),(0,11),(1,6),(1,8),(1,10),(1,11),(2,5),(2,7),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,3,12,9,4,10,5,11,7,1,2,6] => ([(0,7),(0,10),(0,11),(1,5),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,8,3,9,4,10,5,11,7,1,2,6] => ([(0,8),(0,9),(0,10),(0,11),(1,5),(1,7),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[7,1,2,8,3,9,4,10,5,12,11,6] => ([(0,11),(1,11),(2,3),(2,10),(3,10),(4,9),(4,11),(5,8),(5,10),(6,7),(6,9),(6,11),(7,8),(7,10),(8,9),(8,11),(9,10),(10,11)],12)
[7,1,2,8,3,9,4,12,10,5,11,6] => ([(0,11),(1,11),(2,7),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,7),(5,11),(6,8),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[7,1,2,8,3,12,9,4,10,5,11,6] => ([(0,11),(1,11),(2,7),(2,11),(3,9),(3,10),(4,8),(4,9),(4,10),(5,6),(5,7),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[7,1,2,12,8,3,9,4,10,5,11,6] => ([(0,9),(1,9),(2,10),(2,11),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,9),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[12,7,1,2,8,3,9,4,10,5,11,6] => ([(0,10),(0,11),(1,10),(1,11),(2,9),(2,11),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,9),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,4,12,11,9,5,10,7,1,3,6] => ([(0,6),(0,11),(1,6),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,4),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[8,2,4,11,9,5,12,10,7,1,3,6] => ([(0,8),(0,11),(1,8),(1,10),(1,11),(2,4),(2,5),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,8,2,4,9,5,10,7,1,3,6] => ([(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,2,4,9,5,12,10,7,1,3,6] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,5,11,8,2,4,10,7,1,3,6] => ([(0,3),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,11),(3,4),(3,6),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,1,3,8,2,4,12,11,9,5,10,6] => ([(0,11),(1,6),(1,11),(2,4),(2,11),(3,8),(3,9),(3,10),(4,6),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,10),(7,8),(7,9),(7,11),(8,9),(8,10),(9,10),(10,11)],12)
[7,1,3,8,2,4,11,9,5,12,10,6] => ([(0,11),(1,8),(1,11),(2,5),(2,11),(3,4),(3,10),(4,9),(4,10),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,9),(7,11),(8,10),(9,10),(10,11)],12)
[7,1,3,12,11,8,2,4,9,5,10,6] => ([(0,9),(1,6),(1,9),(2,8),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(10,11)],12)
[7,1,3,11,8,2,4,9,5,12,10,6] => ([(0,10),(1,7),(1,10),(2,5),(2,9),(3,8),(3,10),(3,11),(4,6),(4,9),(4,11),(5,9),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11)],12)
[7,1,3,12,9,5,11,8,2,4,10,6] => ([(0,9),(1,9),(1,10),(2,7),(2,8),(2,11),(3,5),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[12,11,7,1,3,8,2,4,9,5,10,6] => ([(0,8),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,5),(3,8),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,1,3,8,2,4,9,5,12,10,6] => ([(0,10),(0,11),(1,5),(1,9),(2,8),(2,10),(2,11),(3,6),(3,10),(3,11),(4,7),(4,9),(4,11),(5,9),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,5,11,7,1,3,8,2,4,10,6] => ([(0,6),(0,10),(0,11),(1,5),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,7,1,3,9,5,12,8,2,4,10,6] => ([(0,10),(0,11),(1,4),(1,8),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,9,4,8,2,5,10,7,1,3,6] => ([(0,3),(0,7),(0,8),(0,9),(0,10),(0,11),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,4,8,2,5,12,10,7,1,3,6] => ([(0,1),(0,6),(0,9),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,7),(4,8),(4,10),(4,11),(5,6),(5,8),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,12,11,8,2,5,10,7,1,3,6] => ([(0,4),(0,6),(0,7),(0,11),(1,2),(1,5),(1,6),(1,8),(1,9),(1,10),(2,5),(2,7),(2,8),(2,9),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,11,8,2,5,12,10,7,1,3,6] => ([(0,3),(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,10),(2,11),(3,6),(3,8),(3,9),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[11,8,2,5,12,9,4,10,7,1,3,6] => ([(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,9),(2,11),(3,5),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[7,1,3,12,11,9,4,8,2,5,10,6] => ([(0,7),(1,7),(1,9),(2,6),(2,10),(2,11),(3,5),(3,7),(3,8),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,1,3,11,9,4,8,2,5,12,10,6] => ([(0,10),(1,8),(1,10),(2,3),(2,9),(3,9),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,1,3,9,4,12,11,8,2,5,10,6] => ([(0,10),(1,10),(1,11),(2,7),(2,8),(2,9),(3,5),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,11),(9,11),(10,11)],12)
[7,1,3,9,4,11,8,2,5,12,10,6] => ([(0,11),(1,10),(1,11),(2,4),(2,9),(3,8),(3,10),(3,11),(4,7),(4,9),(5,6),(5,7),(5,8),(5,11),(6,7),(6,8),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[7,1,3,11,8,2,5,12,9,4,10,6] => ([(0,10),(1,6),(1,10),(2,5),(2,9),(2,11),(3,5),(3,8),(3,9),(3,11),(4,7),(4,8),(4,10),(4,11),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[9,4,12,11,7,1,3,8,2,5,10,6] => ([(0,6),(0,10),(0,11),(1,3),(1,5),(1,7),(1,9),(2,4),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(10,11)],12)
[9,4,11,7,1,3,8,2,5,12,10,6] => ([(0,1),(0,8),(1,8),(1,11),(2,4),(2,9),(2,10),(2,11),(3,5),(3,9),(3,10),(3,11),(4,6),(4,7),(4,10),(5,7),(5,8),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[11,7,1,3,8,2,5,12,9,4,10,6] => ([(0,10),(0,11),(1,5),(1,9),(1,11),(2,6),(2,10),(2,11),(3,5),(3,8),(3,9),(3,11),(4,7),(4,8),(4,10),(4,11),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,8,2,5,11,7,1,3,9,4,10,6] => ([(0,7),(0,10),(0,11),(1,6),(1,9),(1,11),(2,5),(2,7),(2,10),(2,11),(3,4),(3,5),(3,6),(3,9),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[7,1,3,10,5,12,11,9,4,8,2,6] => ([(0,8),(1,8),(1,11),(2,7),(2,8),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,9),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,1,3,12,10,5,11,9,4,8,2,6] => ([(0,6),(1,6),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(4,5),(4,7),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[7,1,3,9,4,10,5,12,11,8,2,6] => ([(0,10),(1,10),(1,11),(2,7),(2,10),(2,11),(3,4),(3,8),(3,9),(3,11),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[7,1,3,9,4,12,10,5,11,8,2,6] => ([(0,10),(1,10),(1,11),(2,6),(2,10),(2,11),(3,7),(3,8),(3,9),(3,11),(4,5),(4,7),(4,8),(4,9),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,8),(7,9),(7,10),(8,9),(8,11),(9,11),(10,11)],12)
[7,1,3,12,9,4,10,5,11,8,2,6] => ([(0,9),(1,9),(1,11),(2,6),(2,7),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,10),(7,11),(8,10),(8,11),(9,11),(10,11)],12)
[9,4,10,5,12,11,7,1,3,8,2,6] => ([(0,7),(0,9),(0,10),(0,11),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,10),(3,4),(3,5),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,4,12,10,5,11,7,1,3,8,2,6] => ([(0,5),(0,8),(0,9),(0,11),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,9),(2,10),(3,4),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,9,4,10,5,11,7,1,3,8,2,6] => ([(0,5),(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,1,3,9,4,10,5,12,8,2,6] => ([(0,9),(0,11),(1,7),(1,8),(1,10),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,7,1,3,9,4,10,5,12,11,6] => ([(0,10),(0,11),(1,2),(1,9),(2,9),(3,8),(3,9),(4,5),(4,11),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,7,1,3,9,4,12,10,5,11,6] => ([(0,6),(0,11),(1,9),(1,11),(2,7),(2,10),(3,4),(3,9),(3,11),(4,8),(4,10),(5,7),(5,8),(5,10),(6,9),(6,11),(7,8),(7,10),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,7,1,3,12,9,4,10,5,11,6] => ([(0,9),(0,11),(1,8),(1,10),(2,3),(2,11),(3,9),(3,11),(4,7),(4,8),(4,10),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11)],12)
[12,8,2,7,1,3,9,4,10,5,11,6] => ([(0,8),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,11),(3,4),(3,10),(3,11),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,12,7,1,3,9,4,10,5,11,6] => ([(0,6),(0,10),(1,8),(1,11),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,5),(4,9),(4,10),(4,11),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,7,1,4,8,2,5,12,11,9,3,6] => ([(0,9),(0,11),(1,2),(1,9),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(5,7),(5,8),(5,10),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,7,1,4,8,2,5,11,9,3,6] => ([(0,9),(0,10),(0,11),(1,5),(1,7),(1,8),(1,11),(2,3),(2,8),(2,9),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,8,2,5,10,7,1,4,9,3,6] => ([(0,5),(0,9),(0,10),(0,11),(1,3),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,2,5,12,10,7,1,4,9,3,6] => ([(0,6),(0,10),(0,11),(1,4),(1,6),(1,9),(1,10),(1,11),(2,3),(2,5),(2,8),(2,9),(2,11),(3,5),(3,7),(3,8),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[10,7,1,4,11,8,2,5,12,9,3,6] => ([(0,9),(0,11),(1,5),(1,8),(1,10),(2,4),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,11,9,3,7,1,4,8,2,5,10,6] => ([(0,6),(0,10),(0,11),(1,2),(1,8),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,3,7,1,4,8,2,5,12,10,6] => ([(0,1),(0,8),(1,8),(1,11),(2,3),(2,9),(2,10),(2,11),(3,7),(3,10),(3,11),(4,7),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,7,1,4,12,11,8,2,5,10,6] => ([(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(2,3),(2,9),(2,11),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,10),(8,10),(9,10),(9,11),(10,11)],12)
[9,3,7,1,4,11,8,2,5,12,10,6] => ([(0,4),(0,10),(1,2),(1,9),(1,11),(2,8),(2,11),(3,8),(3,9),(3,11),(4,6),(4,10),(5,6),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(7,8),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[11,8,2,5,12,9,3,7,1,4,10,6] => ([(0,5),(0,8),(0,11),(1,9),(1,10),(1,11),(2,3),(2,4),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(9,10),(9,11),(10,11)],12)
[12,11,7,1,4,9,3,8,2,5,10,6] => ([(0,6),(0,10),(0,11),(1,9),(1,10),(1,11),(2,4),(2,7),(2,9),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,1,4,9,3,8,2,5,12,10,6] => ([(0,10),(0,11),(1,2),(1,9),(2,9),(2,11),(3,5),(3,7),(3,10),(3,11),(4,6),(4,8),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,3,8,2,5,11,7,1,4,10,6] => ([(0,5),(0,6),(0,11),(1,3),(1,9),(1,10),(1,11),(2,4),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,12,8,2,5,11,7,1,4,10,6] => ([(0,5),(0,6),(0,11),(1,3),(1,9),(1,10),(2,4),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[10,5,12,11,9,3,7,1,4,8,2,6] => ([(0,3),(0,4),(0,5),(0,9),(0,10),(1,2),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,5,11,9,3,7,1,4,8,2,6] => ([(0,1),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,7,1,4,10,5,12,11,8,2,6] => ([(0,9),(0,10),(0,11),(1,2),(1,9),(1,10),(2,10),(2,11),(3,6),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,8),(7,9),(7,10),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,7,1,4,12,10,5,11,8,2,6] => ([(0,9),(0,10),(0,11),(1,2),(1,9),(1,10),(2,10),(2,11),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,10),(7,11),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,3,7,1,4,10,5,11,8,2,6] => ([(0,1),(0,9),(0,10),(0,11),(1,8),(1,9),(1,11),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,5,12,11,7,1,4,9,3,8,2,6] => ([(0,1),(0,7),(0,9),(0,10),(0,11),(1,5),(1,6),(1,8),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10)],12)
[12,10,5,11,7,1,4,9,3,8,2,6] => ([(0,3),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,7),(1,9),(1,10),(1,11),(2,4),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[11,7,1,4,10,5,12,9,3,8,2,6] => ([(0,8),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,11,7,1,4,10,5,12,8,2,6] => ([(0,6),(0,7),(0,11),(1,2),(1,9),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[9,3,8,2,7,1,4,10,5,12,11,6] => ([(0,1),(0,8),(1,8),(2,5),(2,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,11),(5,9),(5,10),(5,11),(6,7),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,8,2,7,1,4,12,10,5,11,6] => ([(0,5),(0,9),(1,8),(1,10),(1,11),(2,5),(2,6),(2,9),(3,4),(3,7),(3,11),(4,7),(4,10),(4,11),(5,6),(5,9),(6,8),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,9,3,8,2,7,1,4,10,5,11,6] => ([(0,7),(0,11),(1,5),(1,7),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,6),(3,10),(3,11),(4,6),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,12,8,2,7,1,4,10,5,11,6] => ([(0,7),(0,11),(1,4),(1,7),(1,11),(2,5),(2,6),(2,9),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[8,2,9,3,12,7,1,4,10,5,11,6] => ([(0,7),(0,10),(1,8),(1,11),(2,6),(2,7),(2,10),(3,5),(3,8),(3,11),(4,6),(4,9),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[12,11,9,3,7,1,5,10,4,8,2,6] => ([(0,1),(0,8),(0,9),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(2,11),(3,4),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,9,3,7,1,5,12,10,4,8,2,6] => ([(0,1),(0,8),(0,10),(0,11),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,9),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,10),(4,11),(5,6),(5,9),(5,10),(5,11),(6,7),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,4,9,3,7,1,5,12,11,8,2,6] => ([(0,8),(0,9),(0,10),(0,11),(1,2),(1,6),(1,7),(1,10),(2,6),(2,7),(2,10),(3,4),(3,5),(3,10),(3,11),(4,5),(4,8),(4,9),(4,11),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,4,9,3,7,1,5,11,8,2,6] => ([(0,5),(0,6),(0,9),(0,11),(1,3),(1,4),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,4,12,9,3,7,1,5,11,8,2,6] => ([(0,4),(0,6),(0,10),(0,11),(1,3),(1,5),(1,9),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[12,11,7,1,5,10,4,9,3,8,2,6] => ([(0,8),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(1,11),(2,4),(2,6),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,7,1,5,12,10,4,9,3,8,2,6] => ([(0,7),(0,11),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,11),(3,4),(3,5),(3,8),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,4,11,7,1,5,12,9,3,8,2,6] => ([(0,1),(0,9),(0,10),(0,11),(1,6),(1,8),(1,10),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,10,4,11,7,1,5,12,8,2,6] => ([(0,5),(0,6),(0,11),(1,7),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[10,4,9,3,8,2,7,1,5,12,11,6] => ([(0,1),(0,7),(1,7),(2,5),(2,8),(2,10),(2,11),(3,4),(3,6),(3,9),(3,11),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[12,10,4,9,3,8,2,7,1,5,11,6] => ([(0,4),(0,11),(1,5),(1,7),(1,9),(1,10),(1,11),(2,3),(2,6),(2,8),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,4,12,9,3,8,2,7,1,5,11,6] => ([(0,4),(0,11),(1,3),(1,6),(1,8),(1,10),(2,5),(2,7),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[9,3,10,4,12,8,2,7,1,5,11,6] => ([(0,4),(0,8),(1,7),(1,10),(1,11),(2,6),(2,7),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(3,11),(4,5),(4,6),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[8,2,9,3,10,4,12,7,1,5,11,6] => ([(0,6),(0,8),(1,10),(1,11),(2,7),(2,10),(2,11),(3,5),(3,7),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(5,8),(5,9),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[12,11,5,10,4,9,3,8,2,7,1,6] => ([(0,3),(0,5),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,5,12,10,4,9,3,8,2,7,1,6] => ([(0,3),(0,5),(0,8),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,9),(1,11),(2,4),(2,6),(2,7),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[10,4,11,5,12,9,3,8,2,7,1,6] => ([(0,7),(0,9),(0,10),(0,11),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,10),(3,4),(3,5),(3,6),(3,8),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,3,10,4,11,5,12,8,2,7,1,6] => ([(0,9),(0,10),(0,11),(1,7),(1,9),(1,10),(1,11),(2,5),(2,7),(2,9),(2,10),(2,11),(3,4),(3,6),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,3,10,4,11,5,12,7,1,6] => ([(0,10),(0,11),(1,8),(1,10),(1,11),(2,7),(2,9),(2,11),(3,6),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,11),(5,6),(5,8),(5,10),(5,11),(6,7),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[3,4,1,5,6,7,8,9,10,11,12,2] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[8,2,9,3,10,4,11,5,12,6,1,7] => ([(0,10),(0,11),(1,7),(1,9),(1,11),(2,8),(2,10),(2,11),(3,6),(3,7),(3,9),(3,11),(4,5),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,3,10,4,11,5,12,1,6,7] => ([(0,10),(0,11),(1,7),(1,8),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,2,9,3,10,4,11,12,5,6,1,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,11),(4,5),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,2,9,3,10,4,11,12,5,1,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,11),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,2,9,3,10,4,11,12,1,5,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,11),(3,6),(3,7),(3,8),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,2,9,3,10,11,4,5,12,6,1,7] => ([(0,10),(0,11),(1,7),(1,9),(1,11),(2,8),(2,10),(2,11),(3,5),(3,6),(3,7),(3,9),(3,11),(4,5),(4,6),(4,7),(4,9),(4,11),(5,8),(5,10),(5,11),(6,8),(6,10),(6,11),(7,8),(7,10),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,3,10,11,4,5,12,1,6,7] => ([(0,10),(0,11),(1,7),(1,8),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,2,9,3,10,11,4,12,5,6,1,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,2,9,3,10,11,4,12,5,1,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,2,9,3,10,11,4,12,1,5,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,2,9,3,10,11,12,4,5,6,1,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,9),(2,10),(3,6),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,2,9,3,10,11,12,4,5,1,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,9),(2,10),(3,4),(3,5),(3,6),(3,9),(3,10),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,2,9,3,10,11,12,4,1,5,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,9),(2,10),(3,5),(3,6),(3,7),(3,9),(3,10),(4,5),(4,6),(4,7),(4,9),(4,10),(5,8),(5,11),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,2,9,3,10,11,12,1,4,5,6,7] => ([(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,2,9,10,3,4,11,5,12,6,1,7] => ([(0,10),(0,11),(1,6),(1,9),(1,11),(2,7),(2,8),(2,10),(2,11),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,9),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,10,3,4,11,5,12,1,6,7] => ([(0,10),(0,11),(1,6),(1,7),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,2,9,10,3,4,11,12,5,6,1,7] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,3,4,11,12,5,1,6,7] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,3,4,11,12,1,5,6,7] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,2,9,10,3,11,4,5,12,6,1,7] => ([(0,10),(0,11),(1,6),(1,9),(1,11),(2,7),(2,8),(2,10),(2,11),(3,4),(3,5),(3,6),(3,9),(3,11),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,10,3,11,4,5,12,1,6,7] => ([(0,10),(0,11),(1,6),(1,7),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,2,9,10,3,11,4,12,5,6,1,7] => ([(0,10),(0,11),(1,5),(1,8),(1,9),(1,11),(2,6),(2,7),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,11),(4,6),(4,7),(4,10),(4,11),(5,6),(5,7),(5,10),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,10,3,11,4,12,5,1,6,7] => ([(0,10),(0,11),(1,5),(1,6),(1,9),(1,11),(2,7),(2,8),(2,10),(2,11),(3,4),(3,5),(3,6),(3,9),(3,11),(4,7),(4,8),(4,10),(4,11),(5,7),(5,8),(5,10),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,10,3,11,4,12,1,5,6,7] => ([(0,10),(0,11),(1,5),(1,6),(1,7),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,2,9,10,3,11,12,4,5,6,1,7] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,3,11,12,4,5,1,6,7] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(3,4),(3,5),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,3,11,12,4,1,5,6,7] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,3,11,12,1,4,5,6,7] => ([(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,2,9,10,11,3,4,5,12,6,1,7] => ([(0,10),(0,11),(1,5),(1,9),(1,11),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,10,11,3,4,5,12,1,6,7] => ([(0,10),(0,11),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,11,3,4,12,5,6,1,7] => ([(0,10),(0,11),(1,4),(1,8),(1,9),(1,11),(2,5),(2,6),(2,7),(2,10),(2,11),(3,5),(3,6),(3,7),(3,10),(3,11),(4,5),(4,6),(4,7),(4,10),(5,8),(5,9),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,10,11,3,4,12,5,1,6,7] => ([(0,10),(0,11),(1,4),(1,5),(1,9),(1,11),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,10,11,3,4,12,1,5,6,7] => ([(0,10),(0,11),(1,4),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,11,3,12,4,5,6,1,7] => ([(0,10),(0,11),(1,4),(1,5),(1,6),(1,10),(1,11),(2,3),(2,7),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,10),(4,7),(4,8),(4,9),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,10,11,3,12,4,5,1,6,7] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,7),(2,8),(2,9),(2,10),(3,4),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,11,3,12,4,1,5,6,7] => ([(0,10),(0,11),(1,2),(1,3),(1,4),(1,9),(1,11),(2,6),(2,7),(2,8),(2,10),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(5,11),(6,9),(6,11),(7,9),(7,11),(8,9),(8,11),(9,10),(9,11),(10,11)],12)
[8,2,9,10,11,3,12,1,4,5,6,7] => ([(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,11,12,3,4,5,6,1,7] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,11,12,3,4,5,1,6,7] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,11,12,3,4,1,5,6,7] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,2,9,10,11,12,3,1,4,5,6,7] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,11),(2,6),(2,7),(2,8),(2,9),(2,11),(3,6),(3,7),(3,8),(3,9),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,10),(7,10),(8,10),(9,10),(10,11)],12)
[8,2,9,10,11,12,1,3,4,5,6,7] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,11),(2,6),(2,7),(2,8),(2,9),(2,11),(3,6),(3,7),(3,8),(3,9),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,11),(6,10),(7,10),(8,10),(9,10),(10,11)],12)
[8,9,2,3,10,4,11,5,12,6,1,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,8),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,3,10,4,11,5,12,1,6,7] => ([(0,7),(0,8),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,9,2,3,10,4,11,12,5,6,1,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,11),(4,5),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,3,10,4,11,12,5,1,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,5),(3,6),(3,8),(3,11),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,3,10,4,11,12,1,5,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,11),(3,6),(3,7),(3,8),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,9,2,3,10,11,4,5,12,6,1,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,11),(3,5),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,3,10,11,4,5,12,1,6,7] => ([(0,7),(0,8),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,9,2,3,10,11,4,12,5,6,1,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,3,10,11,4,12,5,1,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,3,10,11,4,12,1,5,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,9,2,3,10,11,12,4,5,6,1,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,9),(2,10),(3,6),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,3,10,11,12,4,5,1,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,9),(2,10),(3,4),(3,5),(3,6),(3,9),(3,10),(4,7),(4,8),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,3,10,11,12,4,1,5,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,9),(2,10),(3,5),(3,6),(3,7),(3,9),(3,10),(4,5),(4,6),(4,7),(4,9),(4,10),(5,8),(5,11),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,3,10,11,12,1,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[8,9,2,10,3,4,11,5,12,6,1,7] => ([(0,6),(0,8),(0,11),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,4,11,5,12,1,6,7] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,4,11,12,5,6,1,7] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,4,11,12,5,1,6,7] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,4,11,12,1,5,6,7] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,11,4,5,12,6,1,7] => ([(0,6),(0,8),(0,11),(1,9),(1,10),(1,11),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,11,4,5,12,1,6,7] => ([(0,6),(0,7),(0,11),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,11,4,12,5,6,1,7] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,11,4,12,5,1,6,7] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,8),(1,11),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,11),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,11,4,12,1,5,6,7] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,11,12,4,5,6,1,7] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,11,12,4,5,1,6,7] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(3,4),(3,5),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,11,12,4,1,5,6,7] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,8),(2,9),(2,10),(3,5),(3,6),(3,8),(3,9),(3,10),(4,5),(4,6),(4,8),(4,9),(4,10),(5,7),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,3,11,12,1,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,3,4,5,12,6,1,7] => ([(0,5),(0,8),(0,11),(1,9),(1,10),(1,11),(2,6),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,3,4,5,12,1,6,7] => ([(0,5),(0,6),(0,11),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,3,4,12,5,6,1,7] => ([(0,9),(0,10),(0,11),(1,4),(1,7),(1,8),(1,11),(2,5),(2,6),(2,9),(2,10),(2,11),(3,5),(3,6),(3,9),(3,10),(3,11),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,3,4,12,5,1,6,7] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,8),(1,11),(2,6),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,3,4,12,1,5,6,7] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,3,12,4,5,6,1,7] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,9),(1,10),(1,11),(2,3),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,3,12,4,5,1,6,7] => ([(0,9),(0,10),(0,11),(1,2),(1,3),(1,7),(1,8),(1,11),(2,5),(2,6),(2,9),(2,10),(3,5),(3,6),(3,9),(3,10),(4,5),(4,6),(4,9),(4,10),(4,11),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,3,12,4,1,5,6,7] => ([(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,8),(1,11),(2,6),(2,7),(2,9),(2,10),(3,6),(3,7),(3,9),(3,10),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,3,12,1,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,12,3,4,5,6,1,7] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,12,3,4,5,1,6,7] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,12,3,4,1,5,6,7] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,12,3,1,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,9),(1,10),(2,5),(2,6),(2,7),(2,9),(2,10),(3,5),(3,6),(3,7),(3,9),(3,10),(4,5),(4,6),(4,7),(4,9),(4,10),(5,8),(5,11),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[8,9,2,10,11,12,1,3,4,5,6,7] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,10),(1,11),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,9),(7,9),(8,9),(9,10),(9,11)],12)
[8,9,10,2,3,4,11,5,12,6,1,7] => ([(0,6),(0,7),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,4,11,5,12,1,6,7] => ([(0,6),(0,7),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,4,11,12,5,6,1,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,4,11,12,5,1,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,4,11,12,1,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,11,4,5,12,6,1,7] => ([(0,6),(0,7),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,11,4,5,12,1,6,7] => ([(0,6),(0,7),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,11,4,12,5,6,1,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,6),(2,7),(2,11),(3,5),(3,8),(3,9),(3,10),(4,5),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,11,4,12,5,1,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,11),(3,4),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,11,4,12,1,5,6,7] => ([(0,5),(0,6),(0,7),(0,11),(1,8),(1,9),(1,10),(1,11),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,11,12,4,5,6,1,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,11,12,4,5,1,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,8),(2,9),(2,10),(3,4),(3,5),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,11,12,4,1,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,5),(2,6),(2,8),(2,9),(2,10),(3,5),(3,6),(3,8),(3,9),(3,10),(4,5),(4,6),(4,8),(4,9),(4,10),(5,7),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,3,11,12,1,4,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,3,4,5,12,6,1,7] => ([(0,5),(0,7),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,3,4,5,12,1,6,7] => ([(0,5),(0,6),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,3,4,12,5,6,1,7] => ([(0,8),(0,9),(0,10),(0,11),(1,4),(1,6),(1,7),(1,11),(2,5),(2,8),(2,9),(2,10),(2,11),(3,5),(3,8),(3,9),(3,10),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,3,4,12,5,1,6,7] => ([(0,4),(0,5),(0,7),(0,11),(1,8),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,3,4,12,1,5,6,7] => ([(0,4),(0,5),(0,6),(0,11),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,3,12,4,5,6,1,7] => ([(0,8),(0,9),(0,10),(0,11),(1,4),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,11),(3,4),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,3,12,4,5,1,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,4),(1,7),(1,8),(1,9),(1,10),(2,4),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,3,12,4,1,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,7),(1,11),(2,6),(2,8),(2,9),(2,10),(3,6),(3,8),(3,9),(3,10),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,3,12,1,4,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,12,3,4,5,6,1,7] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,12,3,4,5,1,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,12,3,4,1,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,12,3,1,4,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,5),(1,6),(1,8),(1,9),(1,10),(2,5),(2,6),(2,8),(2,9),(2,10),(3,5),(3,6),(3,8),(3,9),(3,10),(4,5),(4,6),(4,8),(4,9),(4,10),(5,7),(5,11),(6,7),(6,11),(7,8),(7,9),(7,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,2,11,12,1,3,4,5,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,9),(1,10),(1,11),(2,6),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(7,8),(8,9),(8,10),(8,11)],12)
[8,9,10,11,2,3,4,5,12,6,1,7] => ([(0,5),(0,6),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,3,4,5,12,1,6,7] => ([(0,5),(0,6),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,3,4,12,5,6,1,7] => ([(0,4),(0,5),(0,6),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,3,4,12,5,1,6,7] => ([(0,4),(0,5),(0,6),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,3,4,12,1,5,6,7] => ([(0,4),(0,5),(0,6),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,3,12,4,5,6,1,7] => ([(0,3),(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,3,12,4,5,1,6,7] => ([(0,4),(0,7),(0,8),(0,9),(0,10),(1,4),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,3,12,4,1,5,6,7] => ([(0,5),(0,7),(0,8),(0,9),(0,10),(1,5),(1,7),(1,8),(1,9),(1,10),(2,5),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,3,12,1,4,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,11),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,12,3,4,5,6,1,7] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,12,3,4,5,1,6,7] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(1,6),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,12,3,4,1,5,6,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,12,3,1,4,5,6,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,5),(1,7),(1,8),(1,9),(1,10),(2,5),(2,7),(2,8),(2,9),(2,10),(3,5),(3,7),(3,8),(3,9),(3,10),(4,5),(4,7),(4,8),(4,9),(4,10),(5,6),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,2,12,1,3,4,5,6,7] => ([(0,6),(0,8),(0,9),(0,10),(0,11),(1,6),(1,8),(1,9),(1,10),(1,11),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(7,8),(7,9),(7,10),(7,11)],12)
[8,9,10,11,12,2,3,4,5,6,1,7] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,12,2,3,4,5,1,6,7] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,12,2,3,4,1,5,6,7] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[8,9,10,11,12,2,3,1,4,5,6,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[8,9,10,11,12,2,1,3,4,5,6,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[11,2,3,4,5,6,7,8,9,10,12,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The graph of inversions of a permutation.
For a permutation of {1,…,n}, this is the graph with vertices {1,…,n}, where (i,j) is an edge if and only if it is an inversion of the permutation.
References
[1] wikipedia:Permutation_graph
Properties
graded
Sage code
def mapping(pi):
    G = Graph([list(range(len(pi))), [(i, j) for i in range(len(pi)) for j in range(i+1, len(pi)) if pi[i] > pi[j]]])
    return G.copy(immutable=True)
Weight
26
Created
Sep 07, 2020 at 08:38 by Martin Rubey
Updated
Dec 03, 2020 at 19:40 by Martin Rubey