=>

[1,0]=>([],1)=>([],1) [1,0,1,0]=>([(0,1)],2)=>([(0,1)],2) [1,1,0,0]=>([],2)=>([],2) [1,0,1,0,1,0]=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3) [1,0,1,1,0,0]=>([(0,2),(1,2)],3)=>([(0,1),(0,2)],3) [1,1,0,0,1,0]=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [1,1,0,1,0,0]=>([(1,2)],3)=>([(1,2)],3) [1,1,1,0,0,0]=>([],3)=>([],3) [1,0,1,0,1,0,1,0]=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4) [1,0,1,0,1,1,0,0]=>([(0,3),(1,3),(3,2)],4)=>([(0,3),(3,1),(3,2)],4) [1,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,3),(2,3)],4) [1,0,1,1,0,1,0,0]=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(0,3),(3,1)],4) [1,0,1,1,1,0,0,0]=>([(0,3),(1,3),(2,3)],4)=>([(0,1),(0,2),(0,3)],4) [1,1,0,0,1,0,1,0]=>([(0,3),(3,1),(3,2)],4)=>([(0,3),(1,3),(3,2)],4) [1,1,0,0,1,1,0,0]=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [1,1,0,1,0,0,1,0]=>([(0,2),(0,3),(3,1)],4)=>([(0,3),(1,2),(2,3)],4) [1,1,0,1,0,1,0,0]=>([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(1,3)],4) [1,1,0,1,1,0,0,0]=>([(1,3),(2,3)],4)=>([(1,2),(1,3)],4) [1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3)],4)=>([(0,3),(1,3),(2,3)],4) [1,1,1,0,0,1,0,0]=>([(1,2),(1,3)],4)=>([(1,3),(2,3)],4) [1,1,1,0,1,0,0,0]=>([(2,3)],4)=>([(2,3)],4) [1,1,1,1,0,0,0,0]=>([],4)=>([],4) [1,0,1,0,1,0,1,0,1,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(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)=>([(0,3),(3,4),(4,1),(4,2)],5) [1,0,1,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [1,0,1,0,1,1,0,1,0,0]=>([(0,4),(1,2),(2,4),(4,3)],5)=>([(0,4),(3,2),(4,1),(4,3)],5) [1,0,1,0,1,1,1,0,0,0]=>([(0,4),(1,4),(2,4),(4,3)],5)=>([(0,4),(4,1),(4,2),(4,3)],5) [1,0,1,1,0,0,1,0,1,0]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [1,0,1,1,0,0,1,1,0,0]=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [1,0,1,1,0,1,0,0,1,0]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(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)=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5) [1,0,1,1,0,1,1,0,0,0]=>([(0,4),(1,3),(2,3),(3,4)],5)=>([(0,3),(0,4),(4,1),(4,2)],5) [1,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>([(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)=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5) [1,0,1,1,1,0,1,0,0,0]=>([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,2),(0,3),(0,4),(4,1)],5) [1,0,1,1,1,1,0,0,0,0]=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(0,4)],5) [1,1,0,0,1,0,1,0,1,0]=>([(0,3),(3,4),(4,1),(4,2)],5)=>([(0,4),(1,4),(2,3),(4,2)],5) [1,1,0,0,1,0,1,1,0,0]=>([(0,4),(1,4),(4,2),(4,3)],5)=>([(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)=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [1,1,0,0,1,1,0,1,0,0]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [1,1,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) [1,1,0,1,0,0,1,0,1,0]=>([(0,4),(3,2),(4,1),(4,3)],5)=>([(0,4),(1,2),(2,4),(4,3)],5) [1,1,0,1,0,0,1,1,0,0]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [1,1,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5) [1,1,0,1,0,1,0,1,0,0]=>([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>([(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)=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5) [1,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [1,1,0,1,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(3,4)],5)=>([(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)=>([(0,4),(1,2),(1,3),(1,4)],5) [1,1,0,1,1,1,0,0,0,0]=>([(1,4),(2,4),(3,4)],5)=>([(1,2),(1,3),(1,4)],5) [1,1,1,0,0,0,1,0,1,0]=>([(0,4),(4,1),(4,2),(4,3)],5)=>([(0,4),(1,4),(2,4),(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)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) [1,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(4,1),(4,2)],5)=>([(0,4),(1,3),(2,3),(3,4)],5) [1,1,1,0,0,1,0,1,0,0]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5) [1,1,1,0,0,1,1,0,0,0]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(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)=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,1,0,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(2,4)],5) [1,1,1,0,1,0,1,0,0,0]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(2,4)],5) [1,1,1,0,1,1,0,0,0,0]=>([(2,4),(3,4)],5)=>([(2,3),(2,4)],5) [1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5) [1,1,1,1,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5) [1,1,1,1,0,0,1,0,0,0]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5) [1,1,1,1,0,1,0,0,0,0]=>([(3,4)],5)=>([(3,4)],5) [1,1,1,1,1,0,0,0,0,0]=>([],5)=>([],5) [1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(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)=>([(0,4),(3,5),(4,3),(5,1),(5,2)],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)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) [1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6) [1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>([(0,4),(4,5),(5,1),(5,2),(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)=>([(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)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],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)=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],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)=>([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) [1,0,1,0,1,1,0,1,1,0,0,0]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>([(0,5),(4,2),(4,3),(5,1),(5,4)],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)=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],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)=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [1,0,1,0,1,1,1,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>([(0,5),(4,3),(5,1),(5,2),(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)=>([(0,5),(5,1),(5,2),(5,3),(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)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],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)=>([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],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)=>([(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)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],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)=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],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)=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],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)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],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)=>([(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)=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],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)=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],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)=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],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)=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],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)=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) [1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>([(0,4),(0,5),(5,1),(5,2),(5,3)],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)=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],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)=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],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)=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],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)=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],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)=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],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)=>([(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)=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(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)=>([(0,2),(0,3),(0,4),(3,5),(4,1),(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)=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6) [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)=>([(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)=>([(0,1),(0,2),(0,3),(0,4),(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)=>([(0,1),(0,2),(0,3),(0,4),(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)=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6) [1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6) [1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6) [1,1,0,0,1,0,1,0,1,1,0,0]=>([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>([(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)=>([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [1,1,0,0,1,0,1,1,0,1,0,0]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>([(0,5),(1,5),(4,2),(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)=>([(0,5),(1,5),(5,2),(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)=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],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)=>([(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)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],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)=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],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)=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],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)=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],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)=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) [1,1,0,1,0,0,1,0,1,0,1,0]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6) [1,1,0,1,0,0,1,0,1,1,0,0]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>([(0,5),(1,2),(2,5),(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)=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],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)=>([(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)=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],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)=>([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],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)=>([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],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)=>([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],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)=>([(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)=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],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)=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],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)=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],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)=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],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)=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],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)=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],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)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],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)=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],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)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],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)=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],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)=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(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)=>([(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)=>([(0,4),(0,5),(1,2),(1,3),(1,4),(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)=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],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)=>([(0,5),(1,2),(1,3),(1,4),(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)=>([(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)=>([(0,5),(1,2),(1,3),(1,4),(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)=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6) [1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(1,2),(1,3),(1,4),(1,5)],6) [1,1,1,0,0,0,1,0,1,0,1,0]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>([(0,5),(1,5),(2,5),(3,4),(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)=>([(0,5),(1,5),(2,5),(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)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],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)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],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)=>([(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)=>([(0,5),(1,4),(2,4),(4,5),(5,3)],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)=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],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)=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],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)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],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)=>([(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)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],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)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],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)=>([(0,5),(1,3),(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)=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,0,1,0,0,0,1,0,1,0]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>([(0,5),(1,5),(2,3),(3,5),(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)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],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)=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],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)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],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)=>([(0,4),(0,5),(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)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(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)=>([(0,5),(1,4),(1,5),(2,3),(2,4),(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)=>([(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)=>([(1,4),(1,5),(2,3),(2,4),(2,5)],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)=>([(0,5),(1,5),(2,3),(2,4),(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)=>([(0,5),(1,5),(2,3),(2,4),(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)=>([(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)=>([(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>([(2,3),(2,4),(2,5)],6) [1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>([(0,5),(1,5),(2,5),(3,5),(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)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>([(0,5),(1,5),(2,5),(3,4),(5,4)],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)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],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)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],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)=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(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)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,1,0,0,1,0,0,0]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,1,0,1,0,0,0,0]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(3,5)],6) [1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>([(3,4),(3,5)],6) [1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6) [1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6) [1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6) [1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6) [1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>([(4,5)],6) [1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>([],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)=>([(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)=>([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],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)=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],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)=>([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],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)=>([(0,5),(4,6),(5,4),(6,1),(6,2),(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)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],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)=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],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)=>([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],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)=>([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],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)=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],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)=>([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],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)=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],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)=>([(0,5),(4,3),(5,6),(6,1),(6,2),(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)=>([(0,5),(5,6),(6,1),(6,2),(6,3),(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)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],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)=>([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],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)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],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)=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],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)=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],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)=>([(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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],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)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],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)=>([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],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)=>([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],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)=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],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)=>([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],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)=>([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],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)=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],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)=>([(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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],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)=>([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],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)=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],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)=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],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)=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],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)=>([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],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)=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],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)=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],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)=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],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)=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],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)=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],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)=>([(0,6),(5,4),(6,1),(6,2),(6,3),(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)=>([(0,6),(6,1),(6,2),(6,3),(6,4),(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)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],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)=>([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],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)=>([(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)=>([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],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)=>([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],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)=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],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)=>([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(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)=>([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],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)=>([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(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)=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],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)=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],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)=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],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)=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],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)=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],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)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],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)=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],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)=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],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)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],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)=>([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],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)=>([(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)=>([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],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)=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],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)=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],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)=>([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],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)=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],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)=>([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],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)=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],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)=>([(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)=>([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],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)=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],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)=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],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)=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],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)=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],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)=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],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)=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],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)=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],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)=>([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],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)=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],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)=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],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)=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],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)=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],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)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],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)=>([(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) [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],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)=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],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)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)=>([(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)=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(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)=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],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)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],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)=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],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)=>([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],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)=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],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)=>([(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)=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],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)=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],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)=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],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)=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],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)=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],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)=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(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)=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(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)=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],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)=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],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)=>([(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) [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],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)=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],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)=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],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)=>([(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)=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(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)=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(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)=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(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)=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],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)=>([(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)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(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)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(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)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(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)=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],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)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],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)=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],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)=>([(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)=>([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],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)=>([(0,6),(1,6),(4,3),(5,2),(5,4),(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)=>([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],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)=>([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],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)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],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)=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],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)=>([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],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)=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],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)=>([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],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)=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],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)=>([(0,6),(1,6),(5,2),(6,3),(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)=>([(0,6),(1,6),(6,2),(6,3),(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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(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)=>([(0,5),(0,6),(1,5),(1,6),(4,2),(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)=>([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(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)=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],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)=>([(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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(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)=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],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)=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],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)=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],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)=>([(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)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7) [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],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)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],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)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],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)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],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)=>([(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) [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],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)=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],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)=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],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)=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],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)=>([(0,6),(1,4),(4,6),(5,2),(5,3),(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)=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],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)=>([(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)=>([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],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)=>([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],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)=>([(0,2),(1,5),(1,6),(2,5),(2,6),(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)=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],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)=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],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)=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(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)=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],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)=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],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)=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],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)=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],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)=>([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],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)=>([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(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)=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],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)=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],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)=>([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],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)=>([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(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)=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],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)=>([(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)=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],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)=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],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)=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],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)=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],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)=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],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)=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],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)=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],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)=>([(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)=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],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)=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],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)=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],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)=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],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)=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],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)=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],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)=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],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)=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],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)=>([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],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)=>([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],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)=>([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],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)=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],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)=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)=>([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],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)=>([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],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)=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],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)=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],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)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],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)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(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)=>([(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)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],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)=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],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)=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],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)=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],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)=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],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)=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],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)=>([(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)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],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)=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],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)=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],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)=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],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)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],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)=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],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)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],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)=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],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)=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(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)=>([(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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],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)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],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)=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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)=>([(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)=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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)=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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)=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],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)=>([(1,2),(1,3),(1,4),(1,5),(1,6)],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)=>([(0,6),(1,6),(2,6),(3,5),(5,4),(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)=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],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)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],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)=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],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)=>([(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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],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)=>([(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) [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>([(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) [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],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)=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],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)=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],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)=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(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)=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],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)=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],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)=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],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)=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],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)=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],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)=>([(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)=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],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)=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],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)=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],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)=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],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)=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],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)=>([(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)=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],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)=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],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)=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],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)=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],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)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],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)=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],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)=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(0,6),(1,6),(2,3),(3,6),(4,5),(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)=>([(0,6),(1,6),(2,3),(3,6),(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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],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)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],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)=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],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)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],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)=>([(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)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],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)=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],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)=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],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)=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],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)=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],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)=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],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)=>([(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)=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],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)=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],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)=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],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)=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],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)=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(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)=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(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)=>([(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)=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(0,6),(1,6),(2,3),(2,4),(2,5),(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)=>([(0,6),(1,6),(2,3),(2,4),(2,5),(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)=>([(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)=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],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)=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(2,3),(2,4),(2,5),(2,6)],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)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(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)=>([(0,6),(1,6),(2,6),(3,6),(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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],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)=>([(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) [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],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)=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],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)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],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)=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],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)=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(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)=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],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)=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],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)=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],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)=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(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)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],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)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],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)=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)=>([(1,6),(2,4),(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)=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)=>([(0,6),(1,6),(2,6),(3,4),(4,6),(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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],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)=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],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)=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(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)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],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)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],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)=>([(1,5),(1,6),(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)=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(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)=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],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)=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],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)=>([(1,6),(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)=>([(2,5),(2,6),(3,4),(3,5),(3,6)],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)=>([(0,6),(1,6),(2,6),(3,4),(3,5),(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)=>([(0,6),(1,6),(2,6),(3,4),(3,5),(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)=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],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)=>([(1,6),(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)=>([(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>([(3,4),(3,5),(3,6)],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)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(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)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],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)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],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)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],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)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],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)=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(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)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],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)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],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)=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>([(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)=>([(4,5),(4,6)],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)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],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)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>([(5,6)],7) [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>([],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)=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8)=>([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],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)=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7),(7,4)],8)=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2),(5,7),(6,7)],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)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],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)=>([(0,4),(1,7),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)=>([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],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)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2),(5,7),(6,7)],8)=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7),(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)=>([(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) [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>([(0,1),(0,2),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,1),(7,5)],8) [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(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)=>([(0,1),(0,2),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>([(0,1),(0,3),(1,2),(1,5),(2,6),(2,7),(3,5),(3,7),(5,6),(6,4),(7,4)],8)=>([(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)=>([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],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)=>([(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) [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>([(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)=>([(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) [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>([(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)=>([(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) [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(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)=>([(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) [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8)=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8) [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8) [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>([(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)=>([(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) [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>([(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)=>([(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) [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>([(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)=>([(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) [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8) [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],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)=>([(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) [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>([(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)=>([(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) [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(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)=>([(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) [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2),(7,3)],8) [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],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)=>([(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) [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(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)=>([(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) [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>([(0,3),(0,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7),(7,1)],8)=>([(0,3),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5)],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)=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7),(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)=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8) [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,5),(0,6),(0,7),(1,4),(4,5),(4,6),(4,7),(7,2),(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)=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],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)=>([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8) [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8) [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)=>([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8) [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5),(7,3),(7,4)],8)=>([(0,2),(0,7),(1,6),(1,7),(2,6),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8) [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8)=>([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8) [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(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)=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8) [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(4,3),(5,6)],8)=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7),(7,2)],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)=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,7),(6,7),(7,4)],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)=>([(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) [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(7,3),(7,4)],8) [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>([(0,6),(2,7),(3,7),(4,7),(5,1),(5,7),(6,2),(6,3),(6,4),(6,5)],8)=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,7),(7,5)],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)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5),(7,3),(7,4)],8) [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],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)=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],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)=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],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)=>([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,5),(7,6)],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)=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8) [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8) [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8) [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>([(0,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,3),(5,2),(5,4)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(4,3),(5,4),(6,5),(7,4)],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)=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],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)=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>([(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)=>([(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) [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(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)=>([(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) [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>([(0,5),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4)],8)=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],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)=>([(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) [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>([(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)=>([(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) [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],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)=>([(0,7),(1,7),(2,3),(2,4),(3,7),(4,6),(6,5),(7,6)],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)=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],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)=>([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],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)=>([(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) [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>([(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)=>([(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) [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>([(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)=>([(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) [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>([(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) [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>([(0,4),(2,5),(2,6),(2,7),(3,1),(3,5),(3,6),(3,7),(4,2),(4,3)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],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)=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4),(7,6)],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)=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],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)=>([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>([(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)=>([(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) [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(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)=>([(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) [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],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)=>([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(6,5),(7,6)],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)=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],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)=>([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],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)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>([(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)=>([(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) [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],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)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],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)=>([(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) [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>([(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)=>([(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) [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],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)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6)],8)=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7)],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)=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],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)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],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)=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],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)=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],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)=>([(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)=>([(3,6),(3,7),(4,5),(4,6),(4,7)],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)=>([(2,7),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>([(4,7),(5,7),(6,7)],8)=>([(4,5),(4,6),(4,7)],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)=>([(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) [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],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)=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],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)=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],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)=>([(3,7),(4,6),(4,7),(5,6),(5,7)],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)=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>([(4,7),(5,6),(5,7)],8)=>([(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)=>([(5,6),(5,7)],8) [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>([(4,5),(4,6),(4,7)],8)=>([(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>([(5,6),(5,7)],8)=>([(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>([(6,7)],8)=>([(6,7)],8) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>([],8)