Identifier
Images
[1,0] => ([],1)
[1,0,1,0] => ([(0,1)],2)
[1,1,0,0] => ([],2)
[1,0,1,0,1,0] => ([(0,2),(2,1)],3)
[1,0,1,1,0,0] => ([(0,2),(1,2)],3)
[1,1,0,0,1,0] => ([(0,1),(0,2)],3)
[1,1,0,1,0,0] => ([(1,2)],3)
[1,1,1,0,0,0] => ([],3)
[1,0,1,0,1,0,1,0] => ([(0,3),(2,1),(3,2)],4)
[1,0,1,0,1,1,0,0] => ([(0,3),(1,3),(3,2)],4)
[1,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(2,3)],4)
[1,0,1,1,0,1,0,0] => ([(0,3),(1,2),(2,3)],4)
[1,0,1,1,1,0,0,0] => ([(0,3),(1,3),(2,3)],4)
[1,1,0,0,1,0,1,0] => ([(0,3),(3,1),(3,2)],4)
[1,1,0,0,1,1,0,0] => ([(0,2),(0,3),(1,2),(1,3)],4)
[1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(3,1)],4)
[1,1,0,1,0,1,0,0] => ([(0,3),(1,2),(1,3)],4)
[1,1,0,1,1,0,0,0] => ([(1,3),(2,3)],4)
[1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3)],4)
[1,1,1,0,0,1,0,0] => ([(1,2),(1,3)],4)
[1,1,1,0,1,0,0,0] => ([(2,3)],4)
[1,1,1,1,0,0,0,0] => ([],4)
[1,0,1,0,1,0,1,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5)
[1,0,1,0,1,0,1,1,0,0] => ([(0,4),(1,4),(2,3),(4,2)],5)
[1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
[1,0,1,0,1,1,0,1,0,0] => ([(0,4),(1,2),(2,4),(4,3)],5)
[1,0,1,0,1,1,1,0,0,0] => ([(0,4),(1,4),(2,4),(4,3)],5)
[1,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[1,0,1,1,0,0,1,1,0,0] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)
[1,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
[1,0,1,1,0,1,0,1,0,0] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[1,0,1,1,0,1,1,0,0,0] => ([(0,4),(1,3),(2,3),(3,4)],5)
[1,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
[1,0,1,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[1,0,1,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5)
[1,1,0,0,1,0,1,0,1,0] => ([(0,3),(3,4),(4,1),(4,2)],5)
[1,1,0,0,1,0,1,1,0,0] => ([(0,4),(1,4),(4,2),(4,3)],5)
[1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)
[1,1,0,0,1,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)
[1,1,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[1,1,0,1,0,0,1,0,1,0] => ([(0,4),(3,2),(4,1),(4,3)],5)
[1,1,0,1,0,0,1,1,0,0] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)
[1,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)
[1,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[1,1,0,1,0,1,1,0,0,0] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)
[1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(3,4)],5)
[1,1,0,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(2,4)],5)
[1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5)
[1,1,1,0,0,0,1,0,1,0] => ([(0,4),(4,1),(4,2),(4,3)],5)
[1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)
[1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(4,1),(4,2)],5)
[1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)
[1,1,1,0,0,1,1,0,0,0] => ([(1,3),(1,4),(2,3),(2,4)],5)
[1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(4,1)],5)
[1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4)],5)
[1,1,1,0,1,0,1,0,0,0] => ([(1,4),(2,3),(2,4)],5)
[1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5)
[1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5)
[1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5)
[1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5)
[1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5)
[1,1,1,1,1,0,0,0,0,0] => ([],5)
[1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)
[1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)
[1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
[1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
[1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)
[1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
[1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)
[1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)
[1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
[1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
[1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
[1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
>>> Load all 2325 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
[1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)
[1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)
[1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)
[1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)
[1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)
[1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)
[1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)
[1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)
[1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)
[1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)
[1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)
[1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)
[1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)
[1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)
[1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)
[1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)
[1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)
[1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)
[1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
[1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)
[1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)
[1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)
[1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)
[1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)
[1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)
[1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)
[1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)
[1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)
[1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)
[1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)
[1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)
[1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)
[1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)
[1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)
[1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)
[1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)
[1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)
[1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)
[1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)
[1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)
[1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6)
[1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6)
[1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)
[1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)
[1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)
[1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6)
[1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)
[1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6)
[1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6)
[1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6)
[1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)
[1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6)
[1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6)
[1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6)
[1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6)
[1,1,1,1,1,1,0,0,0,0,0,0] => ([],6)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7)
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7)
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7)
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7)
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7)
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => ([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => ([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7)
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => ([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7)
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7)
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7)
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7)
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7)
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7)
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7)
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7)
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,7),(6,7),(7,3)],8)
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8)
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,7),(3,7),(4,7),(5,1),(6,5),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,6),(4,6),(5,2),(6,5),(7,3),(7,4)],8)
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7),(7,4)],8)
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(6,5),(7,5)],8)
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(5,3),(6,5),(7,5)],8)
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,5)],8)
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(5,4),(6,5),(7,3)],8)
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,5)],8)
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(6,3),(7,6)],8)
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,7),(7,5)],8)
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(3,7),(4,6),(5,2),(6,5),(7,6)],8)
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(7,5)],8)
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,7),(7,2)],8)
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(7,5)],8)
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,7),(6,7),(7,4)],8)
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7),(7,3)],8)
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8)
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,7),(7,5)],8)
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,7),(6,1),(7,6)],8)
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8)
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,7),(4,7),(5,3),(5,4),(6,5),(7,2)],8)
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,2),(2,7),(3,6),(4,6),(6,5),(7,3),(7,4)],8)
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(6,5),(7,3),(7,4)],8)
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7),(7,1)],8)
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(3,2),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(5,7),(6,7),(7,1)],8)
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,4),(6,4),(7,5),(7,6)],8)
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(4,3),(5,4),(6,4),(7,5),(7,6)],8)
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(6,5),(7,5)],8)
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4),(7,3)],8)
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,6),(5,3),(6,4),(7,2),(7,5)],8)
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(7,1)],8)
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,5),(0,7),(1,2),(2,5),(2,7),(3,6),(5,6),(6,4),(7,3)],8)
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(6,5),(7,3)],8)
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(3,4),(4,2),(5,4),(6,5),(7,3),(7,5)],8)
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7),(7,1)],8)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(4,2),(5,4),(6,4),(7,5)],8)
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(5,6),(6,3),(7,6)],8)
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,1),(7,6)],8)
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,5),(0,7),(1,3),(1,4),(3,7),(4,5),(4,7),(5,6),(6,2),(7,6)],8)
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(5,4),(6,5),(7,5)],8)
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7),(7,1)],8)
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,2),(4,3),(5,4),(6,4),(7,3)],8)
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7),(7,1)],8)
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(5,4),(6,5),(7,4)],8)
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(4,3),(5,4),(6,5),(7,4)],8)
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(3,7),(4,7),(5,1),(5,7),(6,2),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,5),(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,7),(1,5),(1,7),(2,4),(2,5),(4,7),(5,6),(6,3),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(7,6)],8)
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(3,7),(4,6),(6,5),(7,6)],8)
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(6,5),(7,6)],8)
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8)
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5),(7,2)],8)
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7),(7,1)],8)
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7),(7,2)],8)
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,4)],8)
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5),(7,4)],8)
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2),(6,3),(7,4)],8)
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7),(7,2)],8)
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7),(7,2)],8)
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,1)],8)
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,4),(2,7),(4,5),(4,6),(5,7),(6,7),(7,3)],8)
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8)
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2),(7,3)],8)
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,3)],8)
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,7),(5,7),(6,7),(7,2)],8)
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7),(7,2)],8)
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,7),(4,5),(5,7),(6,7),(7,3)],8)
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7),(7,1)],8)
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,5),(2,7),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8)
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8)
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(1,7),(2,7),(3,7),(5,7),(6,1),(6,2),(6,3),(7,4)],8)
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8)
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2),(7,3)],8)
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,7),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => ([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1),(7,2)],8)
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,7),(7,5)],8)
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8)
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7),(7,1)],8)
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,2),(5,3),(7,4)],8)
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,2),(2,7),(3,6),(4,6),(5,3),(5,4),(7,5)],8)
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(7,3)],8)
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(4,2),(4,3),(6,4),(7,4)],8)
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(4,5),(6,7),(7,3),(7,4)],8)
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(3,7),(4,7),(5,6),(6,3),(6,4)],8)
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],8)
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8)
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2),(5,7),(6,7)],8)
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2),(5,3),(6,4),(7,4)],8)
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(6,3),(6,4),(7,3),(7,4)],8)
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3),(5,7),(6,7)],8)
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(4,2),(5,3),(6,3),(7,5),(7,6)],8)
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,2),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,6),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(7,4),(7,5)],8)
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2),(4,3),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,2),(7,2)],8)
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(4,6),(4,7),(5,6),(5,7),(6,3),(7,3)],8)
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,1),(5,3),(6,2),(6,4)],8)
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,6),(4,3),(5,2),(5,4),(7,5)],8)
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,2),(2,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8)
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(4,6),(5,6),(7,3),(7,4)],8)
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(5,6),(7,1)],8)
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(3,2),(5,4),(6,3),(6,5),(7,3),(7,5)],8)
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8)
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(2,5),(3,4),(3,6),(4,2),(6,5),(7,4),(7,6)],8)
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(4,3),(6,5),(7,4),(7,6)],8)
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,1)],8)
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,5),(4,2),(4,5),(5,6),(7,3),(7,4)],8)
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,1),(7,5)],8)
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5)],8)
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(6,4),(7,3),(7,4)],8)
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3),(5,7),(6,7)],8)
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(4,3),(5,3),(6,2),(6,4),(7,4),(7,5)],8)
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(1,5),(2,6),(2,7),(3,5),(3,7),(5,6),(6,4),(7,4)],8)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8)
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,5),(0,7),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4)],8)
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,6),(1,7),(2,5),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8)
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4),(6,5),(7,4)],8)
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(6,4),(7,5)],8)
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(4,3),(5,6),(7,6)],8)
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,4),(5,7),(6,4),(6,7),(7,2)],8)
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(5,6),(7,6)],8)
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,5),(2,7),(4,7),(5,3),(6,5),(6,7),(7,3)],8)
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(4,7),(5,3),(6,5),(6,7),(7,3)],8)
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8)
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3),(6,7)],8)
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,5),(4,5),(5,6),(7,2),(7,3),(7,4)],8)
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,4),(6,3),(7,3)],8)
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4),(6,7)],8)
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(3,6),(5,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(2,6),(2,7),(3,1),(3,6),(3,7),(5,4),(6,5),(7,4)],8)
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(4,3),(5,4),(6,3),(7,4)],8)
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(6,5),(7,4)],8)
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8)
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,5),(1,6),(2,7),(3,5),(3,6),(5,7),(6,4),(7,4)],8)
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(6,5),(7,4)],8)
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(6,5),(7,4)],8)
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(7,6)],8)
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,2),(6,7),(7,3)],8)
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,1),(4,2),(4,5),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,6),(2,7),(4,7),(5,7),(6,3),(7,3)],8)
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,1),(4,5),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(1,5),(1,6),(2,7),(3,6),(3,7),(5,7),(6,4),(7,4)],8)
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,4),(7,6)],8)
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(7,2)],8)
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,7),(5,1),(5,2),(5,3),(7,6)],8)
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,3),(7,3)],8)
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(7,3)],8)
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,7),(5,1),(5,2),(7,6)],8)
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,7),(6,4),(7,4)],8)
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,7),(7,6)],8)
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7),(7,6)],8)
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(5,7),(7,6)],8)
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,5),(7,5)],8)
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8)
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(5,4),(6,5)],8)
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8)
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,2),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],8)
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8)
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8)
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(6,4),(6,5)],8)
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,1),(6,2)],8)
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => ([(0,5),(0,6),(1,4),(2,7),(3,7),(4,5),(4,6),(5,7),(6,2),(6,3)],8)
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,7),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(5,4),(6,2),(6,3),(6,4)],8)
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,3),(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(5,4),(6,4),(7,4)],8)
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(6,2),(6,3)],8)
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,4),(1,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,7),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5)],8)
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,1)],8)
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,2)],8)
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,3),(6,4),(7,4)],8)
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4),(6,7)],8)
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,4)],8)
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8)
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,7),(5,4),(6,4),(7,4)],8)
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8)
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,3)],8)
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,3)],8)
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(4,5),(4,7),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,7)],8)
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,2)],8)
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(6,7)],8)
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(3,7),(4,7),(5,7),(6,3)],8)
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(7,6)],8)
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8)
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8)
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5)],8)
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8)
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,6),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8)
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8)
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8)
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],8)
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(4,6),(5,4),(6,2),(6,3),(7,5)],8)
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,7),(4,7),(5,6),(6,1),(6,2),(7,5)],8)
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,4),(4,7),(5,6),(6,2),(6,3),(7,5)],8)
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(5,6),(6,3),(6,4),(7,5)],8)
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,6),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(7,5)],8)
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,4),(6,5),(7,5)],8)
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,5),(3,7),(4,7),(5,3),(6,1),(6,2),(7,6)],8)
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,4),(1,7),(4,6),(5,2),(5,3),(6,5),(7,6)],8)
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,6),(2,6),(3,4),(3,5),(6,7),(7,3)],8)
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,7),(4,7),(5,7),(6,1),(6,2),(7,6)],8)
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,4),(1,5),(4,7),(5,7),(6,2),(6,3),(7,6)],8)
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,5),(5,7),(6,3),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,4)],8)
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(5,6),(6,1),(6,2),(7,3),(7,4)],8)
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,6),(6,4),(6,5),(7,2),(7,3)],8)
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,1),(7,2)],8)
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,5),(0,6),(1,4),(4,5),(4,6),(5,7),(6,7),(7,2),(7,3)],8)
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(5,3),(5,4),(6,5),(7,5)],8)
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(5,2),(6,1),(6,5),(7,3),(7,4)],8)
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,7),(5,7),(6,4),(7,2),(7,3)],8)
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,4),(0,5),(3,7),(4,6),(5,3),(5,6),(6,7),(7,1),(7,2)],8)
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,5),(0,6),(1,4),(1,6),(4,5),(5,7),(6,7),(7,2),(7,3)],8)
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,7),(7,1),(7,2)],8)
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,6),(1,4),(1,5),(4,7),(5,6),(6,7),(7,2),(7,3)],8)
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,6)],8)
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(6,4),(6,5),(7,6)],8)
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(6,1),(6,2),(6,3),(7,4),(7,5)],8)
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7),(7,2),(7,3)],8)
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,5),(0,6),(1,7),(2,7),(5,7),(6,1),(6,2),(7,3),(7,4)],8)
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(5,7),(6,7),(7,3),(7,4)],8)
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1),(7,2),(7,3)],8)
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(6,7),(7,4),(7,5)],8)
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,7),(1,6),(2,3),(2,6),(3,7),(6,7),(7,4),(7,5)],8)
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,6),(6,7),(7,4),(7,5)],8)
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,7),(7,1),(7,2)],8)
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8)
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(7,5),(7,6)],8)
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,3),(5,1),(5,2)],8)
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(7,4)],8)
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(7,1),(7,2)],8)
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(7,3),(7,4)],8)
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(7,3),(7,4)],8)
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,1),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,2),(4,5),(5,1),(5,3)],8)
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,3),(7,2),(7,4)],8)
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(6,1),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(3,4),(3,7),(4,2),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,3)],8)
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,6),(2,7),(3,2),(3,5),(4,1),(4,3),(5,6),(5,7)],8)
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8)
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,7),(2,1),(2,6),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,6),(1,7),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(4,2),(4,3),(5,6),(5,7)],8)
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8)
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,6),(2,7),(3,5),(4,1),(4,2),(5,6),(5,7)],8)
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,7),(1,2),(1,5),(1,7),(2,6),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(3,7),(4,1),(4,7),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8)
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(5,4),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4)],8)
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2),(5,4)],8)
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,1),(4,5),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],8)
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(4,3),(5,6),(6,2),(6,4),(7,5)],8)
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,7),(4,7),(5,2),(6,1),(6,5),(7,6)],8)
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(5,4),(6,3),(6,5),(7,6)],8)
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(7,4),(7,5)],8)
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,7),(6,7),(7,2),(7,4)],8)
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,3),(7,5)],8)
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,4),(1,6),(4,7),(5,3),(6,7),(7,2),(7,5)],8)
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,6),(2,6),(4,5),(6,7),(7,3),(7,4)],8)
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,7),(4,7),(5,7),(6,1),(7,2),(7,6)],8)
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(3,7),(4,7),(6,2),(7,5),(7,6)],8)
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(5,6),(7,4),(7,5)],8)
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => ([(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3),(7,1)],8)
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,5),(3,6),(4,5),(4,6),(6,2),(7,3),(7,4)],8)
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(5,1),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,6),(1,7),(3,6),(3,7),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => ([(0,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4),(7,1)],8)
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(3,4),(3,5),(5,2),(6,3),(7,4),(7,5)],8)
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7),(7,1)],8)
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,7),(1,6),(1,7),(3,6),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,5),(7,6)],8)
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7),(7,1)],8)
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => ([(0,6),(1,3),(1,4),(3,6),(4,5),(4,7),(6,5),(6,7),(7,2)],8)
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,4),(2,7),(4,5),(4,6),(6,3),(7,5),(7,6)],8)
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(6,4),(7,5),(7,6)],8)
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4),(7,1)],8)
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(7,1)],8)
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1)],8)
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1)],8)
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,2)],8)
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4)],8)
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,6),(4,2),(4,6),(5,3),(5,4),(7,5)],8)
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(2,6),(3,7),(4,7),(5,1),(5,6),(7,2),(7,5)],8)
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,3),(3,7),(4,6),(5,2),(5,6),(7,4),(7,5)],8)
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(7,3),(7,4)],8)
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => ([(0,4),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(5,6),(7,1),(7,6)],8)
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1),(7,6)],8)
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,1),(7,5)],8)
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,5),(7,3),(7,5)],8)
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(2,7),(3,1),(3,7),(4,5),(5,2),(5,3)],8)
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,5),(3,5),(3,6),(4,2),(4,6),(7,3),(7,4)],8)
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,1),(6,4),(7,4),(7,5)],8)
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,6),(1,7),(2,5),(3,6),(3,7),(6,2),(6,4),(7,4),(7,5)],8)
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5),(7,3),(7,4)],8)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(1,7),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3),(6,7)],8)
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8)
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,6),(1,7),(2,5),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4)],8)
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(6,4),(6,5),(7,4)],8)
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(6,4),(6,5),(7,5)],8)
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(4,3),(5,6)],8)
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(4,7),(5,3),(5,7),(6,2),(6,7)],8)
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(5,6)],8)
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,7),(4,3),(5,4),(5,7),(6,3),(6,7)],8)
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(0,7),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(5,7),(6,3),(6,7)],8)
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(7,5)],8)
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5)],8)
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(6,5)],8)
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2),(6,3),(6,4)],8)
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(4,3),(5,2),(5,4)],8)
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,4),(3,7),(5,2),(5,3),(6,4),(6,7)],8)
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,1),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(4,7),(5,3),(5,7),(6,3),(6,7)],8)
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,5),(6,7)],8)
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,4),(6,7)],8)
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(5,6),(7,4),(7,6)],8)
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4)],8)
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,1),(4,2),(4,5),(5,7)],8)
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(5,7)],8)
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6)],8)
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(4,7),(5,7)],8)
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8)
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,6),(4,6),(5,2),(5,3),(5,4),(7,5)],8)
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,7),(5,7),(7,1),(7,2),(7,3)],8)
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,3),(3,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(4,6),(5,6),(7,3),(7,4),(7,5)],8)
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => ([(0,1),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(2,7),(3,7),(4,6),(5,1),(5,3),(6,2),(6,5)],8)
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,6),(4,6),(5,2),(5,4),(7,3),(7,5)],8)
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,2)],8)
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => ([(0,6),(0,7),(1,3),(3,6),(3,7),(4,5),(6,5),(7,2),(7,4)],8)
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,5),(7,3),(7,4)],8)
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,7),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3),(6,7)],8)
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(5,4),(6,3),(6,5),(7,2),(7,3),(7,5)],8)
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5)],8)
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(5,4),(6,3),(6,5),(7,4)],8)
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(7,4)],8)
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(5,4),(7,4)],8)
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(7,4)],8)
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3),(6,7)],8)
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(7,2),(7,4)],8)
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(6,7)],8)
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(5,3),(6,3),(7,4),(7,5)],8)
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(5,3),(6,3),(7,4),(7,5)],8)
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(7,5)],8)
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(7,5)],8)
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(7,5)],8)
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(4,7),(5,6),(6,2),(6,3),(6,4)],8)
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,7),(4,7),(5,2),(5,7),(6,3),(6,4),(6,5)],8)
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,1),(6,7)],8)
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,2),(6,7)],8)
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,4),(6,4),(7,3),(7,4)],8)
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(3,7),(4,1),(4,2),(4,6),(5,3),(5,4)],8)
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(5,4),(5,7),(6,2),(6,3),(6,4)],8)
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6),(5,7),(6,7)],8)
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(6,3),(6,7)],8)
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(6,4),(7,4)],8)
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(3,7),(4,2),(4,6),(5,1),(5,3),(5,4)],8)
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,7),(5,3),(5,7),(6,2),(6,3)],8)
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,6),(6,7)],8)
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,3),(6,7)],8)
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7),(6,7)],8)
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7)],8)
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6)],8)
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6)],8)
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,2),(5,7),(6,2),(6,7)],8)
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,3),(6,7)],8)
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,6)],8)
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7)],8)
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,7)],8)
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6)],8)
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8)
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(5,3),(6,3),(7,3)],8)
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8)
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8)
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(6,4),(7,4)],8)
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(6,4),(7,4)],8)
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,7),(5,1),(5,4),(6,2),(6,3),(6,5)],8)
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,3)],8)
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,7),(5,1),(5,7),(6,2),(6,3),(6,4),(6,5)],8)
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(6,7)],8)
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,6)],8)
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,7),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2),(5,6)],8)
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(4,7),(5,1),(5,6)],8)
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,7)],8)
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8)
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8)
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,1),(6,7)],8)
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7)],8)
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(6,7)],8)
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],8)
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(5,6),(6,2),(6,3),(6,4),(7,5)],8)
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(4,7),(5,7),(6,1),(6,2),(6,3),(7,6)],8)
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,5),(5,7),(6,2),(6,3),(6,4),(7,6)],8)
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(6,3),(6,4),(6,5),(7,6)],8)
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(6,1),(6,2),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,7),(6,7),(7,2),(7,3),(7,4)],8)
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,5),(0,6),(1,7),(5,7),(6,1),(7,2),(7,3),(7,4)],8)
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,5),(1,6),(5,7),(6,7),(7,2),(7,3),(7,4)],8)
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,6),(2,6),(6,7),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(4,7),(5,7),(6,7),(7,1),(7,2),(7,3)],8)
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(7,4),(7,5),(7,6)],8)
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(3,7),(7,4),(7,5),(7,6)],8)
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(7,4),(7,5),(7,6)],8)
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => ([(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,1),(4,2)],8)
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(7,2),(7,3)],8)
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,2),(4,1),(4,3)],8)
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(6,2),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,2),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,6),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,7),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,7),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5),(7,6)],8)
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(4,7),(5,4),(6,2),(6,3),(7,1),(7,6)],8)
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(5,3),(5,4),(6,2),(6,5),(7,6)],8)
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(4,7),(5,7),(6,1),(6,2),(7,3),(7,6)],8)
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,4),(4,7),(6,2),(6,3),(7,5),(7,6)],8)
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(6,3),(6,4),(7,5),(7,6)],8)
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => ([(0,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4),(7,1),(7,2)],8)
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,1),(7,2)],8)
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(7,1),(7,2)],8)
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(2,6),(2,7),(3,1),(3,6),(3,7),(4,5),(5,2),(5,3)],8)
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6),(7,3),(7,4)],8)
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,1),(7,4),(7,5)],8)
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,6),(1,7),(3,6),(3,7),(6,4),(6,5),(7,2),(7,4),(7,5)],8)
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,1),(3,7),(4,2),(4,3)],8)
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(6,2),(6,3),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8)
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,5),(0,7),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(6,5),(7,3),(7,4)],8)
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(6,4),(6,5)],8)
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(6,4),(6,5)],8)
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(6,4),(6,5)],8)
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7),(5,3),(5,6),(5,7)],8)
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6)],8)
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,5),(3,6),(4,5),(4,6),(7,2),(7,3),(7,4)],8)
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,3),(5,2),(5,4)],8)
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(3,4),(3,5),(6,2),(6,3),(7,4),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,1),(3,6),(3,7),(7,4),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(7,4),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,5)],8)
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5)],8)
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8)
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,6),(4,7),(5,3),(6,4),(7,1),(7,2),(7,5)],8)
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(5,4),(6,2),(6,3),(6,5),(7,6)],8)
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(4,7),(5,7),(6,1),(7,2),(7,3),(7,6)],8)
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,3),(3,7),(6,2),(7,4),(7,5),(7,6)],8)
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(6,3),(7,4),(7,5),(7,6)],8)
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(4,3),(7,1)],8)
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2),(7,1)],8)
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(3,4),(3,5),(3,6),(6,2),(7,4),(7,5),(7,6)],8)
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,5),(7,6)],8)
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(3,7),(4,5),(5,3),(5,6),(6,1),(6,2),(6,7)],8)
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(4,6),(5,2),(5,3),(5,6),(7,4),(7,5)],8)
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,1),(7,2),(7,6)],8)
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => ([(0,6),(0,7),(1,4),(4,6),(4,7),(6,5),(7,2),(7,3),(7,5)],8)
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(6,5),(7,3),(7,4),(7,5)],8)
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,2),(4,3)],8)
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(6,2),(6,3),(6,4),(7,3),(7,4),(7,5)],8)
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(7,6)],8)
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4),(7,5)],8)
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(6,3),(6,4),(6,5),(7,5)],8)
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(5,4)],8)
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(5,4)],8)
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,2),(5,3),(5,7),(6,2),(6,3),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,3),(6,4),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,3),(6,4),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7)],8)
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(3,7),(4,7)],8)
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(3,7),(4,2),(4,7),(5,6),(6,1),(6,3),(6,4)],8)
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(4,6),(5,3),(5,6),(7,2),(7,4),(7,5)],8)
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,1),(7,4)],8)
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => ([(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,2),(7,4)],8)
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3),(7,4)],8)
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(3,7),(4,1),(4,2),(4,7),(5,3),(5,4)],8)
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(3,5),(6,2),(6,3),(6,4),(7,4),(7,5)],8)
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(1,6),(2,1),(2,4),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4)],8)
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(6,5)],8)
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7),(6,4)],8)
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(6,4)],8)
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4)],8)
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,3),(5,7),(6,2),(6,3),(6,7)],8)
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,6)],8)
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,3),(6,7)],8)
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,7)],8)
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7)],8)
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7)],8)
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6)],8)
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,2),(5,7),(6,2),(6,7)],8)
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,7),(5,7),(6,3),(6,7)],8)
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,7)],8)
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(5,7)],8)
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(5,7)],8)
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8)
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(4,6),(5,6),(7,2),(7,3),(7,4),(7,5)],8)
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3),(7,3)],8)
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8)
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(4,5),(6,5),(7,2),(7,3),(7,4)],8)
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(7,4)],8)
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3)],8)
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(7,4)],8)
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(7,6)],8)
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(7,4)],8)
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,4)],8)
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,4),(6,5)],8)
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,3),(6,7)],8)
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,5),(4,6)],8)
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6)],8)
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,7),(6,7)],8)
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7)],8)
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(6,5)],8)
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,6)],8)
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,1),(5,2),(5,6)],8)
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,7),(6,7)],8)
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(5,7)],8)
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7)],8)
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7)],8)
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8)
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(6,7)],8)
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(6,7)],8)
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,7)],8)
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,7)],8)
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7)],8)
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7)],8)
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,1),(6,7)],8)
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8)
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(6,7)],8)
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => ([(0,6),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],8)
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(6,2),(6,3),(6,4),(6,5),(7,6)],8)
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => ([(0,5),(0,6),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],8)
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,2),(2,7),(7,3),(7,4),(7,5),(7,6)],8)
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(7,3),(7,4),(7,5),(7,6)],8)
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => ([(0,1),(1,2),(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,2),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,4),(6,7),(7,1),(7,2),(7,3)],8)
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(6,2),(6,3),(6,4),(7,5),(7,6)],8)
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(7,1),(7,2),(7,3)],8)
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => ([(0,6),(0,7),(1,5),(5,6),(5,7),(7,2),(7,3),(7,4)],8)
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(7,3),(7,4),(7,5)],8)
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(4,2),(4,3)],8)
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(6,3),(6,4),(6,5)],8)
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => ([(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,2),(6,3),(6,4),(7,2),(7,3),(7,4)],8)
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2)],8)
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3),(7,4),(7,5)],8)
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3),(7,4),(7,5)],8)
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(6,2),(6,3),(7,4),(7,5),(7,6)],8)
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1),(7,2)],8)
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,4),(4,5),(4,6),(4,7),(7,2),(7,3)],8)
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(3,6),(3,7),(4,1),(4,2),(4,6),(4,7),(5,3),(5,4)],8)
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(1,7),(2,1),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4)],8)
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5)],8)
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => ([(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,1),(5,3),(5,4)],8)
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8)
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,1),(4,2),(4,7)],8)
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3),(7,4)],8)
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4)],8)
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8)
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8)
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(7,3),(7,4)],8)
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(7,3),(7,4)],8)
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(5,6),(5,7)],8)
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => ([(0,6),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],8)
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(6,2),(7,3),(7,4),(7,5),(7,6)],8)
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(7,1)],8)
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(6,7)],8)
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(6,5),(7,2),(7,3),(7,4),(7,5)],8)
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,7),(2,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3)],8)
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,7)],8)
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(4,7),(5,2),(5,3),(5,7),(6,1),(6,4),(6,5)],8)
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,4),(7,2),(7,3),(7,4)],8)
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(3,7),(4,1),(4,2),(4,6),(4,7)],8)
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3)],8)
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7)],8)
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7)],8)
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7)],8)
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(6,5)],8)
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2),(7,3)],8)
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(3,6),(4,6),(4,7),(5,1),(5,2),(5,3),(5,7)],8)
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(7,3)],8)
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,7),(3,4),(3,7)],8)
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7)],8)
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7)],8)
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7)],8)
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(4,7),(5,6),(5,7)],8)
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7)],8)
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2),(7,2)],8)
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8)
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(7,3)],8)
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,3),(6,7)],8)
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7)],8)
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7)],8)
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,2),(6,7)],8)
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7)],8)
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(4,7)],8)
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7)],8)
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(5,7)],8)
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(5,7),(6,7)],8)
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(6,7)],8)
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => ([(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => ([(0,6),(6,7),(7,1),(7,2),(7,3),(7,4),(7,5)],8)
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(7,2),(7,3),(7,4),(7,5),(7,6)],8)
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => ([(0,6),(6,5),(6,7),(7,1),(7,2),(7,3),(7,4)],8)
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(7,2),(7,3),(7,4),(7,5)],8)
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,1),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => ([(0,7),(6,3),(6,4),(6,5),(7,1),(7,2),(7,6)],8)
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],8)
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(3,7),(4,1),(4,2),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5)],8)
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,1),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6)],8)
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => ([(0,7),(6,4),(6,5),(7,1),(7,2),(7,3),(7,6)],8)
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(4,7),(5,1),(5,2),(5,3),(5,6),(5,7)],8)
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4)],8)
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(4,7),(5,1),(5,2),(5,6),(5,7)],8)
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5)],8)
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,1),(5,6),(5,7)],8)
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6)],8)
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(5,6),(5,7)],8)
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => ([(0,7),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],8)
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(5,7),(6,1),(6,2),(6,3),(6,4),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3)],8)
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,3),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,4)],8)
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,2),(6,7)],8)
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(4,5)],8)
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(5,6)],8)
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(6,7)],8)
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => ([(2,7),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => ([(3,7),(4,7),(5,6),(5,7)],8)
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => ([(4,7),(5,7),(6,7)],8)
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => ([(0,7),(7,1),(7,2),(7,3),(7,4),(7,5),(7,6)],8)
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => ([(0,6),(0,7),(7,1),(7,2),(7,3),(7,4),(7,5)],8)
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => ([(0,5),(0,6),(0,7),(7,1),(7,2),(7,3),(7,4)],8)
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => ([(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => ([(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => ([(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => ([(4,7),(5,6),(5,7)],8)
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => ([(5,7),(6,7)],8)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => ([(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => ([(5,6),(5,7)],8)
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => ([(6,7)],8)
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8)
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1)],9)
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1),(8,2)],9)
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => ([(0,7),(0,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6)],9)
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => ([(0,8),(1,8),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => ([(0,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7)],9)
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(8,2)],9)
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(6,7),(6,8)],9)
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(8,7)],9)
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => ([(0,8),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(2,8),(5,3),(6,3),(6,4),(7,5),(7,6),(8,4),(8,5)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,7),(1,8),(2,7),(2,8),(3,6),(3,8),(6,5),(7,4),(7,6),(8,4),(8,5)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,3),(2,7),(3,6),(3,8),(6,4),(7,5),(7,6),(8,4),(8,5)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,8),(4,6),(7,4),(7,5),(8,5),(8,6)],9)
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(2,8),(5,3),(5,8),(6,7),(6,8),(7,3),(7,4),(8,4)],9)
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,6),(0,8),(1,2),(1,3),(1,6),(2,7),(2,8),(3,7),(3,8),(6,4),(6,7),(7,5),(8,4),(8,5)],9)
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,7),(0,8),(1,4),(1,7),(2,3),(2,4),(3,7),(3,8),(4,6),(4,8),(7,5),(7,6),(8,5)],9)
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,4),(2,8),(3,4),(3,8),(4,6),(4,7),(7,5),(8,5),(8,6)],9)
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(2,7),(2,8),(3,7),(3,8),(4,5),(4,8),(7,5),(7,6),(8,6)],9)
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,7),(4,6),(4,8),(7,5),(7,6),(8,5)],9)
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,5),(2,7),(3,4),(3,5),(4,7),(4,8),(5,6),(5,8),(7,6)],9)
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(5,4),(6,4),(7,3),(7,5),(8,3),(8,5),(8,6)],9)
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,3),(0,4),(0,8),(1,4),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(4,5),(4,6),(7,5),(8,5)],9)
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8)],9)
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(7,8)],9)
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,7),(1,8),(2,6),(2,8),(6,4),(6,5),(7,3),(7,6),(8,3),(8,4),(8,5)],9)
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(6,5),(7,3),(7,4),(7,5),(8,3),(8,4),(8,6)],9)
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(1,4),(1,5),(1,8),(2,4),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(5,6),(5,7)],9)
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,3),(0,4),(0,8),(1,4),(1,5),(1,8),(2,5),(2,7),(2,8),(3,5),(3,6),(3,7),(4,6),(4,7),(8,6)],9)
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8)],9)
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => ([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(5,8),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(4,7),(4,8)],9)
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => ([(0,3),(0,4),(0,7),(0,8),(1,4),(1,5),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(4,6)],9)
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,8),(3,4),(3,5),(3,6),(3,8),(5,7)],9)
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(4,8)],9)
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,4),(3,5),(3,6),(3,7),(7,8)],9)
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(4,7),(4,8)],9)
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => ([(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => ([(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => ([(1,8),(2,8),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => ([(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => ([(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => ([(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => ([(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => ([(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(7,8)],9)
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => ([(3,8),(4,8),(5,6),(5,7),(5,8)],9)
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => ([(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => ([(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => ([(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => ([(5,8),(6,7),(6,8)],9)
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => ([(6,8),(7,8)],9)
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)],9)
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => ([(4,5),(4,6),(4,7),(4,8)],9)
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => ([(5,6),(5,7),(5,8)],9)
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => ([(6,7),(6,8)],9)
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => ([(7,8)],9)
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,8),(1,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,7)],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,8),(1,3),(3,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(3,8),(4,6),(5,4),(6,2),(7,8),(8,5)],9)
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,7),(0,8),(1,3),(1,8),(3,7),(4,5),(5,2),(6,4),(7,6),(8,6)],9)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,4),(0,8),(1,7),(1,8),(2,3),(4,6),(4,7),(5,2),(6,5),(7,5),(8,6)],9)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,8),(1,7),(1,8),(3,6),(3,7),(4,2),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(4,3),(5,3),(6,4),(7,4),(7,5),(8,5),(8,6)],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,8),(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,8),(1,3),(1,4),(3,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9)
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(3,8),(4,2),(5,4),(6,8),(7,8),(8,5)],9)
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,8),(6,8),(7,8),(8,4)],9)
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(4,8),(5,8),(6,8),(7,4),(7,5),(8,2)],9)
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(3,8),(4,8),(5,8),(6,3),(6,4),(7,3),(7,4),(7,5)],9)
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(3,5),(4,8),(5,8),(6,8),(7,4),(8,2)],9)
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(1,4),(1,5),(1,8),(2,7),(2,8),(3,4),(3,7),(3,8),(4,6),(5,7),(7,6),(8,6)],9)
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,3),(0,4),(0,8),(1,4),(1,6),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(4,7),(6,5),(7,5),(8,5)],9)
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(6,8),(7,8),(8,4)],9)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,2),(6,3),(8,4)],9)
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,3),(5,1),(5,2),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(1,8),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],9)
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(8,2)],9)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,8),(1,8),(4,5),(5,7),(6,4),(7,2),(7,3),(8,6)],9)
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(8,6)],9)
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(4,6),(5,4),(6,8),(7,5),(8,1),(8,2),(8,3)],9)
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(5,6),(6,8),(7,5),(8,1),(8,2),(8,3),(8,4)],9)
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => ([(0,7),(6,8),(7,6),(8,1),(8,2),(8,3),(8,4),(8,5)],9)
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => ([(0,7),(7,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6)],9)
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(3,5),(4,3),(5,8),(6,1),(7,4),(8,2),(8,6)],9)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5)],9)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,8),(2,7),(2,8),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4)],9)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(1,8),(2,6),(2,7),(3,1),(3,7),(4,5),(5,2),(5,3),(7,8)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(1,7),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3),(5,8),(6,7),(6,8)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(1,7),(2,6),(2,8),(3,7),(3,8),(6,5),(7,4),(7,6),(8,4),(8,5)],9)
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],9)
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(5,4),(6,1),(6,2),(6,3)],9)
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,7),(1,8),(2,6),(2,8),(3,6),(3,8),(4,5),(5,1),(5,2),(5,3),(6,7)],9)
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(1,8),(2,5),(2,8),(3,6),(3,8),(4,1),(4,2),(4,3),(5,6),(5,7),(8,7)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,7),(2,8),(3,6),(3,8),(6,5),(7,4),(7,6),(8,4),(8,5)],9)
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,8),(1,4),(4,8),(5,7),(6,5),(7,2),(7,3),(8,6)],9)
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,8),(1,4),(4,8),(5,3),(6,7),(7,2),(7,5),(8,6)],9)
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,8),(1,2),(2,8),(3,7),(4,7),(5,6),(6,3),(6,4),(8,5)],9)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,8),(1,8),(4,7),(5,2),(6,4),(7,3),(7,5),(8,6)],9)
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(4,1),(4,5),(4,7),(5,8)],9)
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(2,8),(3,6),(3,7),(3,8),(4,1),(4,6),(4,8),(5,2),(5,3),(5,4)],9)
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(2,8),(3,7),(3,8),(4,1),(4,7),(4,8),(5,6),(6,2),(6,3),(6,4)],9)
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,6),(3,8),(4,7),(5,1),(5,8),(6,4),(7,2),(7,3),(7,5)],9)
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(4,5),(5,8),(6,1),(7,4),(8,2),(8,3),(8,6)],9)
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => ([(0,7),(7,6),(7,8),(8,1),(8,2),(8,3),(8,4),(8,5)],9)
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => ([(0,6),(6,7),(7,5),(7,8),(8,1),(8,2),(8,3),(8,4)],9)
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,6),(5,7),(6,5),(7,4),(7,8),(8,1),(8,2),(8,3)],9)
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(4,5),(5,7),(6,4),(7,1),(7,8),(8,2),(8,3)],9)
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,8),(4,7),(4,8),(5,3),(5,7),(5,8),(6,2),(6,3),(6,7)],9)
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,3),(0,4),(0,7),(1,7),(1,8),(2,4),(2,7),(2,8),(3,8),(4,5),(4,6),(7,5),(7,6),(8,5),(8,6)],9)
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,5),(4,7),(5,8),(7,8)],9)
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(8,6)],9)
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(8,5)],9)
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(8,4)],9)
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(8,3)],9)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,6),(1,8),(2,8),(4,7),(5,2),(6,4),(7,1),(7,5),(8,3)],9)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,8),(1,8),(2,6),(3,6),(3,7),(4,2),(4,7),(5,3),(5,4),(8,5)],9)
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(1,8),(2,7),(2,8),(3,6),(4,1),(5,3),(6,2),(6,4)],9)
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(1,8),(2,6),(2,7),(3,7),(3,8),(7,4),(7,5),(8,4),(8,5),(8,6)],9)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,6),(0,8),(1,7),(1,8),(2,7),(2,8),(4,3),(5,3),(6,4),(7,5),(7,6),(8,4),(8,5)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,8),(1,6),(1,8),(2,4),(2,5),(5,3),(6,2),(6,7),(7,3),(7,4),(8,5),(8,7)],9)
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,5),(1,8),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4),(8,6),(8,7)],9)
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(4,5),(7,4),(7,6),(8,3),(8,4)],9)
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(7,5),(7,6),(8,4),(8,5)],9)
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(5,7),(5,8),(7,6),(8,4),(8,6)],9)
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,7),(1,8),(2,6),(3,5),(3,6),(5,7),(5,8),(6,7),(6,8),(8,4)],9)
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(8,6),(8,7)],9)
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(7,3),(8,3)],9)
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(4,5),(4,6),(4,7),(4,8)],9)
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)],9)
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8)],9)
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(5,6),(5,7),(5,8)],9)
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,5),(1,6),(2,7),(3,7),(5,8),(6,8),(7,4),(8,2),(8,3)],9)
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(9,1)],10)
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => ([(0,9),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7),(9,8)],10)
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,9),(1,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,9),(1,3),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,8),(1,3),(1,8),(3,9),(4,5),(5,7),(6,4),(7,2),(8,9),(9,6)],10)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,7),(0,8),(1,3),(1,8),(3,7),(4,6),(5,4),(6,2),(7,9),(8,9),(9,5)],10)
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,8),(0,9),(1,3),(1,9),(3,6),(3,8),(4,2),(5,4),(6,7),(7,5),(8,7),(9,6)],10)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,4),(0,9),(1,8),(1,9),(2,3),(4,7),(4,8),(5,2),(6,5),(7,5),(8,6),(9,6),(9,7)],10)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,9),(1,8),(1,9),(3,7),(3,8),(4,2),(5,4),(6,4),(7,5),(8,5),(8,6),(9,6),(9,7)],10)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(4,5),(5,3),(6,3),(7,5),(7,6),(8,4),(8,6),(9,4),(9,7)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6),(9,6),(9,7)],10)
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,7),(1,8),(2,7),(2,9),(6,4),(6,5),(7,3),(7,6),(8,6),(8,9),(9,3),(9,4),(9,5)],10)
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(5,9),(6,4),(6,9),(7,3),(7,4),(7,9),(8,3),(8,5),(8,6)],10)
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,3),(0,4),(0,9),(1,4),(1,6),(1,9),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(4,7),(4,8),(6,5),(7,5),(8,5),(9,7)],10)
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(1,4),(1,5),(1,9),(2,4),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(5,6),(5,7),(5,8),(9,6)],10)
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,9),(1,6),(1,7),(1,9),(2,5),(2,6),(2,7),(2,9),(3,4),(3,5),(3,6),(3,7),(4,9),(5,8),(6,8),(7,8),(9,8)],10)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,7),(2,9),(3,9),(4,1),(5,4),(6,5),(7,8),(8,2),(8,3),(9,6)],10)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,8),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,1),(9,2)],10)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,9),(1,9),(4,6),(5,4),(6,8),(7,5),(8,2),(8,3),(9,7)],10)
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,1),(9,2),(9,3)],10)
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,8),(5,7),(6,9),(7,6),(8,5),(9,1),(9,2),(9,3),(9,4)],10)
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,8),(6,7),(7,9),(8,6),(9,1),(9,2),(9,3),(9,4),(9,5)],10)
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => ([(0,8),(7,9),(8,7),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6)],10)
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => ([(0,8),(8,9),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7)],10)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => ([],10)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,8),(3,4),(4,6),(5,3),(6,9),(7,1),(8,5),(9,2),(9,7)],10)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,9),(3,5),(4,3),(5,8),(6,1),(6,9),(7,4),(8,2),(8,6)],10)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(1,9),(2,8),(2,9),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5)],10)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,8),(1,9),(2,7),(2,8),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(1,8),(2,6),(2,7),(3,1),(3,7),(4,5),(5,2),(5,3),(6,9),(7,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => ([(0,1),(1,2),(1,4),(2,3),(2,8),(3,7),(3,9),(4,8),(4,9),(7,6),(8,5),(8,7),(9,5),(9,6)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(1,7),(2,8),(2,9),(3,7),(3,8),(6,5),(7,6),(7,9),(8,4),(8,6),(9,4),(9,5)],10)
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => ([(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,8)],10)
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,8),(0,9),(1,8),(1,9),(2,7),(2,9),(5,4),(6,3),(6,4),(7,3),(7,5),(8,6),(8,7),(9,5),(9,6)],10)
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => ([(7,9),(8,9)],10)
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => ([(7,8),(7,9)],10)
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => ([(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => ([(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,9),(1,4),(4,9),(5,6),(6,8),(7,5),(8,2),(8,3),(9,7)],10)
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9)],10)
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => ([(8,9)],10)
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => ([(6,9),(7,9),(8,9)],10)
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(5,9),(6,9),(7,9),(8,9)],10)
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,3),(0,4),(0,9),(1,4),(1,7),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(4,6),(4,8),(7,5),(8,5),(9,5),(9,6)],10)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,8),(2,9),(3,9),(4,1),(5,4),(6,2),(7,5),(8,3),(8,6),(9,7)],10)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,7),(2,9),(3,8),(4,6),(5,4),(6,1),(7,2),(7,8),(8,9),(9,5)],10)
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(4,9),(5,9),(6,3),(6,9),(7,3),(7,4),(8,4),(8,5),(8,6)],10)
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,8),(4,8),(4,9),(5,8),(5,9),(6,3),(6,9),(7,3),(7,4),(7,5)],10)
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(4,3),(5,4),(5,9),(6,3),(6,9),(7,4),(7,9),(8,5),(8,6)],10)
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => ([(0,9),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,4),(3,9),(4,6),(4,7),(5,7),(8,4),(8,5),(9,5),(9,6)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,4),(3,8),(4,7),(4,9),(7,5),(8,6),(8,7),(9,5),(9,6)],10)
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,8),(0,9),(1,8),(1,9),(2,5),(2,8),(3,4),(3,5),(4,8),(4,9),(5,7),(5,9),(8,6),(8,7),(9,6)],10)
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(0,8),(0,9),(1,7),(1,9),(2,5),(2,7),(3,4),(3,5),(3,7),(4,8),(4,9),(5,8),(5,9),(7,6),(7,8),(9,6)],10)
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9)],10)
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,9),(6,9),(7,9)],10)
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,9)],10)
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9)],10)
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6),(3,7),(3,8),(3,9)],10)
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => ([(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => ([(5,6),(5,7),(5,8),(5,9)],10)
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => ([(6,7),(6,8),(6,9)],10)
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,10),(1,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,10),(1,3),(3,10),(4,6),(5,4),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,10),(1,9),(1,10),(2,8),(2,9),(5,4),(6,3),(6,5),(7,3),(7,4),(8,5),(8,7),(9,6),(9,7),(10,6),(10,8)],11)
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => ([(0,10),(1,9),(1,10),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10)],11)
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => ([(0,9),(0,10),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10)],11)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,10),(9,7),(10,1),(10,2)],11)
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => ([(8,10),(9,10)],11)
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => ([(8,9),(8,10)],11)
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10)],11)
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => ([(9,10)],11)
Identities
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Intertwining relations
Mp00125dual poset ∘ Mp00242Hessenberg poset = Mp00242Hessenberg poset ∘ Mp00028reverse : Dyck paths ⟶ Posets
Absorbing relations
Mp00110Greene-Kleitman invariant ∘ Mp00242Hessenberg poset ∘ Mp00028reverse = Mp00110Greene-Kleitman invariant ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Integer partitions
Mp00074to graph ∘ Mp00242Hessenberg poset ∘ Mp00028reverse = Mp00074to graph ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Graphs
Mp00198incomparability graph ∘ Mp00242Hessenberg poset ∘ Mp00028reverse = Mp00198incomparability graph ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Graphs
Mp00205maximal antichains ∘ Mp00242Hessenberg poset ∘ Mp00028reverse = Mp00205maximal antichains ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Lattices
Mp00206antichains of maximal size ∘ Mp00242Hessenberg poset ∘ Mp00028reverse = Mp00206antichains of maximal size ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Lattices
Mp00205maximal antichains ∘ Mp00242Hessenberg poset ∘ Mp00132switch returns and last double rise = Mp00205maximal antichains ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Lattices
Mp00205maximal antichains ∘ Mp00242Hessenberg poset ∘ Mp00121Cori-Le Borgne involution = Mp00205maximal antichains ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Lattices
Other relations
Mp00205maximal antichains ∘ Mp00065permutation poset ∘ Mp00023to non-crossing permutation = Mp00205maximal antichains ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Lattices
Mp00206antichains of maximal size ∘ Mp00065permutation poset ∘ Mp00023to non-crossing permutation = Mp00206antichains of maximal size ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Lattices
Mp00242Hessenberg poset ∘ Mp00028reverse ∘ Mp00099bounce path = Mp00065permutation poset ∘ Mp00023to non-crossing permutation ∘ Mp00099bounce path : Dyck paths ⟶ Posets
Mp00065permutation poset ∘ Mp00069complement ∘ Mp00025to 132-avoiding permutation ∘ Mp00099bounce path = Mp00242Hessenberg poset ∘ Mp00099bounce path : Dyck paths ⟶ Posets
Mp00205maximal antichains ∘ Mp00065permutation poset ∘ Mp00069complement ∘ Mp00025to 132-avoiding permutation = Mp00205maximal antichains ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Lattices
Mp00206antichains of maximal size ∘ Mp00065permutation poset ∘ Mp00069complement ∘ Mp00025to 132-avoiding permutation = Mp00206antichains of maximal size ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Lattices
Mp00205maximal antichains ∘ Mp00242Hessenberg poset ∘ Mp00032inverse zeta map = Mp00205maximal antichains ∘ Mp00242Hessenberg poset ∘ Mp00030zeta map : Dyck paths ⟶ Lattices
Mp00205maximal antichains ∘ Mp00242Hessenberg poset ∘ Mp00120Lalanne-Kreweras involution = Mp00205maximal antichains ∘ Mp00242Hessenberg poset ∘ Mp00030zeta map : Dyck paths ⟶ Lattices
Mp00205maximal antichains ∘ Mp00242Hessenberg poset ∘ Mp00101decomposition reverse = Mp00205maximal antichains ∘ Mp00242Hessenberg poset ∘ Mp00030zeta map : Dyck paths ⟶ Lattices
Description
The Hessenberg poset of a Dyck path.
Let $D$ be a Dyck path of semilength $n$, regarded as a subdiagonal path from $(0,0)$ to $(n,n)$, and let $\boldsymbol{m}_i$ be the $x$-coordinate of the $i$-th up step.
Then the Hessenberg poset (or natural unit interval order) corresponding to $D$ has elements $\{1,\dots,n\}$ with $i < j$ if $j < \boldsymbol{m}_i$.
Let $D$ be a Dyck path of semilength $n$, regarded as a subdiagonal path from $(0,0)$ to $(n,n)$, and let $\boldsymbol{m}_i$ be the $x$-coordinate of the $i$-th up step.
Then the Hessenberg poset (or natural unit interval order) corresponding to $D$ has elements $\{1,\dots,n\}$ with $i < j$ if $j < \boldsymbol{m}_i$.
References
[1] Shareshian, J., Wachs, M. L. Chromatic quasisymmetric functions MathSciNet:3488041
Properties
injective, graded
Sage code
def mapping(D):
D = DyckWord(D)
m = [a+i for i, a in enumerate(reversed(D.to_area_sequence()), 1)]
return Poset([list(range(1, D.semilength()+1)), lambda i, j: j > m[i-1]])
Weight
51
Created
Jan 11, 2022 at 19:47 by Martin Rubey
Updated
Jan 11, 2022 at 19:47 by Martin Rubey
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