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Cc0005;cc-rep-0Cc0014;cc-rep-1Cc0014;cc-rep-2
[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)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)=>([(0,6),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],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)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)=>([(0,6),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],8)
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)=>([(0,6),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],8)
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8)=>([(0,5),(1,7),(2,7),(3,6),(4,1),(5,3),(6,2),(6,4)],8)
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)=>([(0,5),(4,7),(5,4),(6,2),(6,3),(7,1),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8)=>([(0,5),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8)
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)=>([(0,6),(4,7),(5,3),(6,4),(7,1),(7,2),(7,5)],8)
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)=>([(0,6),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],8)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(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)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,5)],8)=>([(0,4),(1,6),(2,6),(2,7),(3,1),(3,7),(4,5),(5,2),(5,3)],8)
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(6,4),(7,6)],8)=>([(0,5),(5,6),(6,4),(6,7),(7,1),(7,2),(7,3)],8)
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(7,5)],8)=>([(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3),(6,7)],8)
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7),(7,3)],8)=>([(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8)=>([(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)=>([(0,5),(5,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)=>([(0,6),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],8)
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8)=>([(0,6),(6,7),(7,1),(7,2),(7,3),(7,4),(7,5)],8)
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>([(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4),(7,3)],8)=>([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,5)],8)
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>([(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(7,1)],8)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3),(5,7),(6,7)],8)
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7),(7,1)],8)=>([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3),(5,7),(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)
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)=>([(0,6),(6,5),(6,7),(7,1),(7,2),(7,3),(7,4)],8)
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8)=>([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,2),(4,3)],8)
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)=>([(0,6),(4,7),(5,2),(5,3),(5,7),(6,1),(6,4),(6,5)],8)
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)=>([(0,7),(6,3),(6,4),(6,5),(7,1),(7,2),(7,6)],8)
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)=>([(0,7),(6,4),(6,5),(7,1),(7,2),(7,3),(7,6)],8)
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8)=>([(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)=>([(0,7),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],8)
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8)=>([(0,7),(7,1),(7,2),(7,3),(7,4),(7,5),(7,6)],8)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)=>([(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)
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(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)
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>([(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(5,1),(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)
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,6),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,1),(6,4),(7,4),(7,5)],8)
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2),(6,5),(7,5)],8)=>([(0,1),(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>([(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)
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>([(0,3),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5)],8)=>([(0,3),(0,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7),(7,1)],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)
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>([(0,6),(0,7),(7,1),(7,2),(7,3),(7,4),(7,5)],8)
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8)=>([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,7),(7,5)],8)
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,1),(6,2)],8)=>([(0,1),(0,2),(0,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,1),(0,2),(0,3),(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>([(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)
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,3),(6,4),(7,4)],8)=>([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1)],8)
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)=>([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,1),(4,6),(4,7),(7,5)],8)
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)=>([(0,5),(0,6),(0,7),(7,1),(7,2),(7,3),(7,4)],8)
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8)=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8)
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,5),(0,6),(1,4),(1,6),(4,5),(5,7),(6,7),(7,2),(7,3)],8)=>([(0,7),(1,7),(2,5),(3,5),(3,6),(4,2),(4,6),(7,3),(7,4)],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)
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,6),(0,7),(1,6),(1,7),(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)
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(6,2),(6,3),(7,3),(7,4),(7,5)],8)
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8)=>([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>([(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)
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,2),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>([(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)
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(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)
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>([(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)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,6),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],8)=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>([(0,3),(0,4),(3,7),(4,7),(5,2),(6,1),(6,5),(7,6)],8)=>([(0,7),(1,2),(2,7),(3,6),(4,6),(5,3),(5,4),(7,5)],8)
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>([(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,3),(7,5)],8)=>([(0,7),(1,2),(2,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8)
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>([(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3),(7,1)],8)=>([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(6,5),(7,5)],8)
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(5,1),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>([(0,3),(0,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7),(7,1)],8)=>([(0,3),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5)],8)
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>([(0,3),(0,7),(1,6),(1,7),(3,6),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,3),(1,6),(1,7),(2,5),(3,6),(3,7),(6,2),(6,4),(7,4),(7,5)],8)
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>([(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)
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(7,1)],8)=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],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)
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>([(0,6),(0,7),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,3),(1,5),(1,6),(1,7),(3,5),(3,6),(3,7),(6,4),(7,2),(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)
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)=>([(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>([(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)
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],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)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>([(0,4),(1,6),(2,6),(2,7),(3,1),(3,7),(4,5),(5,2),(5,3)],8)=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,5)],8)
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>([(0,2),(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(6,1),(6,4),(7,4),(7,5)],8)=>([(0,2),(0,7),(1,6),(1,7),(2,6),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>([(0,3),(1,6),(1,7),(2,5),(3,6),(3,7),(6,2),(6,4),(7,4),(7,5)],8)=>([(0,3),(0,7),(1,6),(1,7),(3,6),(5,2),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>([(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)
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8)
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>([(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)
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(4,7),(5,3),(5,7),(6,2),(6,7)],8)=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)=>([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6)],8)
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>([(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)
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(5,7),(6,7)],8)
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)=>([(0,2),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3)],8)
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)=>([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7)],8)
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>([(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)
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],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)
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>([(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)
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>([(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)
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,2),(4,6),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>([(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)
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>([(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)
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>([(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)
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,2),(6,7)],8)=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>([(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)
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],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)
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>([(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)
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(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)
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>([(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)
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>([(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(6,5)],8)=>([(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)
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>([(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)
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],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)
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>([(3,7),(4,7),(5,7),(6,7)],8)=>([(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)
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(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)
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>([(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)
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],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)
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([(1,7),(2,7),(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)
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(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)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6),(3,7)],8)=>([(3,7),(4,7),(5,7),(6,7)],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)
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1)],9)
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1),(8,2)],9)
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(9,1)],10)
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(8,7)],9)=>([(0,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6)],9)=>([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6)],9)
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>([(7,8)],9)=>([(7,8)],9)
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([],9)=>([],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,8),(1,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,7)],9)=>([(0,7),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(8,2)],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,8),(1,3),(3,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)=>([(0,7),(3,5),(4,3),(5,8),(6,1),(7,4),(8,2),(8,6)],9)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,3),(0,8),(1,7),(1,8),(3,6),(3,7),(4,2),(5,4),(6,4),(7,5),(8,5),(8,6)],9)=>([(0,4),(1,5),(1,7),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(4,3),(5,3),(6,4),(7,4),(7,5),(8,5),(8,6)],9)=>([(0,1),(0,3),(1,2),(1,7),(2,6),(2,8),(3,7),(3,8),(6,5),(7,4),(7,6),(8,4),(8,5)],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,9),(1,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,8)],10)=>([(0,8),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,1),(9,2)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,8),(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)=>([(0,7),(4,6),(5,4),(6,8),(7,5),(8,1),(8,2),(8,3)],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,9),(1,3),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10)=>([(0,8),(3,4),(4,6),(5,3),(6,9),(7,1),(8,5),(9,2),(9,7)],10)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(4,5),(5,3),(6,3),(7,5),(7,6),(8,4),(8,6),(9,4),(9,7)],10)=>([(0,1),(0,3),(1,2),(1,7),(2,8),(2,9),(3,7),(3,8),(6,5),(7,6),(7,9),(8,4),(8,6),(9,4),(9,5)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6),(9,6),(9,7)],10)=>([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6),(9,6),(9,7)],10)
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>([],10)=>([],10)
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>([(8,9)],10)=>([(8,9)],10)
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,8),(1,5),(1,8),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4),(8,6),(8,7)],9)=>([(0,6),(0,8),(1,6),(1,8),(2,4),(2,5),(5,3),(6,2),(6,7),(7,3),(7,4),(8,5),(8,7)],9)
Map
Hessenberg poset
Description
The Hessenberg poset of a Dyck path.
Let $D$ be a Dyck path of semilength $n$, regarded as a subdiagonal path from $(0,0)$ to $(n,n)$, and let $\boldsymbol{m}_i$ be the $x$-coordinate of the $i$-th up step.
Then the Hessenberg poset (or natural unit interval order) corresponding to $D$ has elements $\{1,\dots,n\}$ with $i < j$ if $j < \boldsymbol{m}_i$.
Let $D$ be a Dyck path of semilength $n$, regarded as a subdiagonal path from $(0,0)$ to $(n,n)$, and let $\boldsymbol{m}_i$ be the $x$-coordinate of the $i$-th up step.
Then the Hessenberg poset (or natural unit interval order) corresponding to $D$ has elements $\{1,\dots,n\}$ with $i < j$ if $j < \boldsymbol{m}_i$.
Map
dual poset
Description
The dual of a poset.
The dual (or opposite) of a poset $(\mathcal P,\leq)$ is the poset $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.
The dual (or opposite) of a poset $(\mathcal P,\leq)$ is the poset $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.
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