=>

[1,0]=>[1]=>[1]=>([],1)=>([],1) [1,0,1,0]=>[2,1]=>[1,2]=>([(0,1)],2)=>([(0,1)],2) [1,1,0,0]=>[1,2]=>[2,1]=>([],2)=>([],2) [1,0,1,0,1,0]=>[2,3,1]=>[1,3,2]=>([(0,1),(0,2)],3)=>([(0,2),(1,2)],3) [1,0,1,1,0,0]=>[2,1,3]=>[3,1,2]=>([(1,2)],3)=>([(1,2)],3) [1,1,0,0,1,0]=>[1,3,2]=>[2,3,1]=>([(1,2)],3)=>([(1,2)],3) [1,1,0,1,0,0]=>[3,1,2]=>[2,1,3]=>([(0,2),(1,2)],3)=>([(0,2),(1,2)],3) [1,1,1,0,0,0]=>[1,2,3]=>[3,2,1]=>([],3)=>([],3) [1,0,1,0,1,0,1,0]=>[2,3,4,1]=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4)=>([(0,3),(1,3),(2,3)],4) [1,0,1,0,1,1,0,0]=>[2,3,1,4]=>[4,1,3,2]=>([(1,2),(1,3)],4)=>([(1,3),(2,3)],4) [1,0,1,1,0,0,1,0]=>[2,1,4,3]=>[3,4,1,2]=>([(0,3),(1,2)],4)=>([(0,3),(1,2)],4) [1,0,1,1,0,1,0,0]=>[2,4,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(2,3)],4) [1,0,1,1,1,0,0,0]=>[2,1,3,4]=>[4,3,1,2]=>([(2,3)],4)=>([(2,3)],4) [1,1,0,0,1,0,1,0]=>[1,3,4,2]=>[2,4,3,1]=>([(1,2),(1,3)],4)=>([(1,3),(2,3)],4) [1,1,0,0,1,1,0,0]=>[1,3,2,4]=>[4,2,3,1]=>([(2,3)],4)=>([(2,3)],4) [1,1,0,1,0,0,1,0]=>[3,1,4,2]=>[2,4,1,3]=>([(0,3),(1,2),(1,3)],4)=>([(0,3),(1,2),(2,3)],4) [1,1,0,1,0,1,0,0]=>[3,4,1,2]=>[2,1,4,3]=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4) [1,1,0,1,1,0,0,0]=>[3,1,2,4]=>[4,2,1,3]=>([(1,3),(2,3)],4)=>([(1,3),(2,3)],4) [1,1,1,0,0,0,1,0]=>[1,2,4,3]=>[3,4,2,1]=>([(2,3)],4)=>([(2,3)],4) [1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[3,2,4,1]=>([(1,3),(2,3)],4)=>([(1,3),(2,3)],4) [1,1,1,0,1,0,0,0]=>[4,1,2,3]=>[3,2,1,4]=>([(0,3),(1,3),(2,3)],4)=>([(0,3),(1,3),(2,3)],4) [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[4,3,2,1]=>([],4)=>([],4) [1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1]=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5) [1,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5]=>[5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5) [1,0,1,0,1,1,0,0,1,0]=>[2,3,1,5,4]=>[4,5,1,3,2]=>([(0,4),(1,2),(1,3)],5)=>([(0,1),(2,4),(3,4)],5) [1,0,1,0,1,1,0,1,0,0]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,5]=>[5,4,1,3,2]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5) [1,0,1,1,0,0,1,0,1,0]=>[2,1,4,5,3]=>[3,5,4,1,2]=>([(0,4),(1,2),(1,3)],5)=>([(0,1),(2,4),(3,4)],5) [1,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,5]=>[5,3,4,1,2]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [1,0,1,1,0,1,0,0,1,0]=>[2,4,1,5,3]=>[3,5,1,4,2]=>([(0,3),(0,4),(1,2),(1,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5) [1,0,1,1,0,1,0,1,0,0]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [1,0,1,1,0,1,1,0,0,0]=>[2,4,1,3,5]=>[5,3,1,4,2]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5) [1,0,1,1,1,0,0,0,1,0]=>[2,1,3,5,4]=>[4,5,3,1,2]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [1,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,4]=>[4,3,5,1,2]=>([(0,4),(1,4),(2,3)],5)=>([(0,1),(2,4),(3,4)],5) [1,0,1,1,1,0,1,0,0,0]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,5]=>[5,4,3,1,2]=>([(3,4)],5)=>([(3,4)],5) [1,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)=>([(1,4),(2,4),(3,4)],5) [1,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5]=>[5,2,4,3,1]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5) [1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4]=>[4,5,2,3,1]=>([(1,4),(2,3)],5)=>([(1,4),(2,3)],5) [1,1,0,0,1,1,0,1,0,0]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5) [1,1,0,0,1,1,1,0,0,0]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(3,4)],5)=>([(3,4)],5) [1,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,2]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,1,0,0,1,1,0,0]=>[3,1,4,2,5]=>[5,2,4,1,3]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5) [1,1,0,1,0,1,0,0,1,0]=>[3,4,1,5,2]=>[2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [1,1,0,1,0,1,0,1,0,0]=>[3,4,5,1,2]=>[2,1,5,4,3]=>([(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) [1,1,0,1,0,1,1,0,0,0]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(1,4),(2,3),(2,4)],5) [1,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,4]=>[4,5,2,1,3]=>([(0,4),(1,4),(2,3)],5)=>([(0,1),(2,4),(3,4)],5) [1,1,0,1,1,0,0,1,0,0]=>[3,1,5,2,4]=>[4,2,5,1,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,1,0,1,0,0,0]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [1,1,0,1,1,1,0,0,0,0]=>[3,1,2,4,5]=>[5,4,2,1,3]=>([(2,4),(3,4)],5)=>([(2,4),(3,4)],5) [1,1,1,0,0,0,1,0,1,0]=>[1,2,4,5,3]=>[3,5,4,2,1]=>([(2,3),(2,4)],5)=>([(2,4),(3,4)],5) [1,1,1,0,0,0,1,1,0,0]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(3,4)],5)=>([(3,4)],5) [1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3]=>[3,5,2,4,1]=>([(1,4),(2,3),(2,4)],5)=>([(1,4),(2,3),(3,4)],5) [1,1,1,0,0,1,0,1,0,0]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(1,4),(2,3),(2,4)],5) [1,1,1,0,0,1,1,0,0,0]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(2,4),(3,4)],5)=>([(2,4),(3,4)],5) [1,1,1,0,1,0,0,0,1,0]=>[4,1,2,5,3]=>[3,5,2,1,4]=>([(0,4),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,1,0,1,0,0,1,0,0]=>[4,1,5,2,3]=>[3,2,5,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [1,1,1,0,1,0,1,0,0,0]=>[4,5,1,2,3]=>[3,2,1,5,4]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) [1,1,1,0,1,1,0,0,0,0]=>[4,1,2,3,5]=>[5,3,2,1,4]=>([(1,4),(2,4),(3,4)],5)=>([(1,4),(2,4),(3,4)],5) [1,1,1,1,0,0,0,0,1,0]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(3,4)],5)=>([(3,4)],5) [1,1,1,1,0,0,0,1,0,0]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(2,4),(3,4)],5)=>([(2,4),(3,4)],5) [1,1,1,1,0,0,1,0,0,0]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(1,4),(2,4),(3,4)],5)=>([(1,4),(2,4),(3,4)],5) [1,1,1,1,0,1,0,0,0,0]=>[5,1,2,3,4]=>[4,3,2,1,5]=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5) [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([],5)=>([],5) [1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6) [1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6) [1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6) [1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6) [1,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>([(0,4),(0,5),(1,2),(1,3)],6)=>([(0,5),(1,5),(2,4),(3,4)],6) [1,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,0,1,1,1,0,0,0,1,0]=>[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>([(0,5),(1,5),(2,3),(2,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6) [1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6) [1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6) [1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>([(0,5),(1,4),(2,3)],6)=>([(0,5),(1,4),(2,3)],6) [1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6) [1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [1,0,1,1,0,1,0,0,1,0,1,0]=>[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,1,0,0,1,1,0,0]=>[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6) [1,0,1,1,0,1,0,1,0,0,1,0]=>[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) [1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(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) [1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,0,1,1,0,1,1,0,1,0,0,0]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6) [1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6) [1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6) [1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,0,0,1,0]=>[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,0,1,0,0]=>[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,1,0,0,0]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,1,1,0,1,1,0,0,0,0]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [1,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>([(0,5),(1,5),(2,5),(3,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,1,0,1,0,0,0,0]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>([(4,5)],6)=>([(4,5)],6) [1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6) [1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6) [1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6) [1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>([(1,5),(2,3),(2,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6) [1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6) [1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(4,5)],6)=>([(4,5)],6) [1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,1,0,0,1,0,1,1,0,0]=>[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,1),(2,5),(3,4),(4,5)],6) [1,1,0,1,0,0,1,1,0,1,0,0]=>[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6) [1,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>([(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) [1,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>([(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) [1,1,0,1,0,1,0,1,1,0,0,0]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(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) [1,1,0,1,0,1,1,0,0,0,1,0]=>[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,1,0,1,1,0,0,1,0,0]=>[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) [1,1,0,1,0,1,1,0,1,0,0,0]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>([(0,5),(1,5),(2,3),(2,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6) [1,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,1,0,0,1,0,1,0,0]=>[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6) [1,1,0,1,1,0,1,0,0,0,1,0]=>[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) [1,1,0,1,1,0,1,0,0,1,0,0]=>[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) [1,1,0,1,1,0,1,0,1,0,0,0]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,5),(1,5),(2,4),(3,4)],6) [1,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>([(3,5),(4,5)],6)=>([(3,5),(4,5)],6) [1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)=>([(2,5),(3,5),(4,5)],6) [1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6) [1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>([(2,5),(3,4)],6)=>([(2,5),(3,4)],6) [1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6) [1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(4,5)],6)=>([(4,5)],6) [1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6) [1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(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) [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>([(1,5),(2,5),(3,4)],6)=>([(1,2),(3,5),(4,5)],6) [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6) [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(3,5),(4,5)],6)=>([(3,5),(4,5)],6) [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,1,0,0,1,0,1,0,0]=>[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,1,0,1,0,0,0,1,0]=>[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,1,0,1,0,0,1,0,0]=>[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>([(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) [1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>([(0,5),(1,5),(2,5),(3,4)],6)=>([(0,1),(2,5),(3,5),(4,5)],6) [1,1,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,1,1,0,1,0,0,0,0]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,1,1,1,0,0,0,0,0]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>([(2,5),(3,5),(4,5)],6)=>([(2,5),(3,5),(4,5)],6) [1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(3,4),(3,5)],6)=>([(3,5),(4,5)],6) [1,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(4,5)],6)=>([(4,5)],6) [1,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>([(2,5),(3,4),(3,5)],6)=>([(2,5),(3,4),(4,5)],6) [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(3,5),(4,5)],6)=>([(3,5),(4,5)],6) [1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(2,5),(3,5),(4,5)],6)=>([(2,5),(3,5),(4,5)],6) [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,1,0,1,0,0,1,0,0,0]=>[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,1,0,1,0,0,0,0]=>[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,1,1,0,0,0,0,0]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6) [1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(4,5)],6)=>([(4,5)],6) [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(3,5),(4,5)],6)=>([(3,5),(4,5)],6) [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(2,5),(3,5),(4,5)],6)=>([(2,5),(3,5),(4,5)],6) [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,5),(4,5)],6) [1,1,1,1,1,0,1,0,0,0,0,0]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6) [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([],6)=>([],6) [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>([(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) [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>([(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) [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7) [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>([(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) [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]=>([(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),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7) [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>([(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) [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>([(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) [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>([(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),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(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]=>[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(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]=>[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>([(5,6)],7)=>([(5,6)],7) [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>([(1,6),(2,5),(3,4)],7)=>([(1,6),(2,5),(3,4)],7) [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7) [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>([(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) [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(5,6)],7)=>([(5,6)],7) [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>([(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) [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>([(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) [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>([(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) [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>([(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) [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>([(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) [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>([(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) [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>([(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) [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>([(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),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,3),(1,2),(4,6),(5,6)],7) [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7) [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>([(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),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>([(4,6),(5,6)],7)=>([(4,6),(5,6)],7) [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7) [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(5,6)],7)=>([(5,6)],7) [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>([(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) [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>([(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) [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>([(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) [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(4,6),(5,6)],7)=>([(4,6),(5,6)],7) [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>([(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),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>([(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),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>([(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),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>([(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),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>([(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) [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>([(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) [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>([(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7) [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)=>([(3,6),(4,6),(5,6)],7) [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(3,6),(4,5)],7)=>([(3,6),(4,5)],7) [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(5,6)],7)=>([(5,6)],7) [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>([(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) [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(2,6),(3,6),(4,5)],7)=>([(2,3),(4,6),(5,6)],7) [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(2,6),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(4,6),(5,6)],7)=>([(4,6),(5,6)],7) [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(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]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>([(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) [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7) [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>([(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),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>([(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)=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(4,5),(4,6)],7)=>([(4,6),(5,6)],7) [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(5,6)],7)=>([(5,6)],7) [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(4,6),(5,6)],7)=>([(4,6),(5,6)],7) [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(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]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7) [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,5),(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]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],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]=>[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(5,6)],7)=>([(5,6)],7) [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(4,6),(5,6)],7)=>([(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(3,6),(4,6),(5,6)],7)=>([(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([],7)=>([],7) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>([(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) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>([(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),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,6,7,5,8]=>[8,5,7,6,1,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,3,4,6,1,7,5,8]=>[8,5,7,1,6,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,7,1,5,8]=>[8,5,1,7,6,4,3,2]=>([(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) [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,4,1,5,7,8,6]=>[6,8,7,5,1,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,5,6,4,7,8]=>[8,7,4,6,5,1,3,2]=>([(2,6),(2,7),(3,4),(3,5)],8)=>([(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,5,1,6,4,7,8]=>[8,7,4,6,1,5,3,2]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,5,6,1,7,4,8]=>[8,4,7,1,6,5,3,2]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,5,1,4,6,7,8]=>[8,7,6,4,1,5,3,2]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,7,5,8]=>[8,5,7,6,4,1,3,2]=>([(2,6),(2,7),(3,4),(3,5)],8)=>([(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,6,1,4,7,5,8]=>[8,5,7,4,1,6,3,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,6,1,8,4,5,7]=>[7,5,4,8,1,6,3,2]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>([(2,6),(2,7),(3,4),(3,5)],8)=>([(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,7,1,4,8,5,6]=>[6,5,8,4,1,7,3,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>([(0,7),(1,6),(2,5),(3,4)],8)=>([(0,7),(1,6),(2,5),(3,4)],8) [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,4,7,8,3,5,6]=>[6,5,3,8,7,4,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,4,1,5,6,7,8,3]=>[3,8,7,6,5,1,4,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,4,1,5,6,7,3,8]=>[8,3,7,6,5,1,4,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,4,1,5,6,3,7,8]=>[8,7,3,6,5,1,4,2]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]=>([(3,6),(3,7),(4,5),(4,7)],8)=>([(3,7),(4,6),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,4,5,1,6,7,3,8]=>[8,3,7,6,1,5,4,2]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,4,5,1,6,3,7,8]=>[8,7,3,6,1,5,4,2]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,4,5,6,1,3,7,8]=>[8,7,3,1,6,5,4,2]=>([(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) [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>([(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),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2]=>([(4,7),(5,6),(5,7)],8)=>([(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,7,4,8]=>[8,4,7,6,3,1,5,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8) [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,5,7,1,8,3,4,6]=>[6,4,3,8,1,7,5,2]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,1,3,6,8,4,5,7]=>[7,5,4,8,6,3,1,2]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,1,6,3,7,4,5,8]=>[8,5,4,7,3,6,1,2]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,1,6,7,3,4,8,5]=>[5,8,4,3,7,6,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,1,6,3,4,8,5,7]=>[7,5,8,4,3,6,1,2]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],8)=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,4,5,2,7,8,6]=>[6,8,7,2,5,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,4,5,7,2,8,6]=>[6,8,2,7,5,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]=>([(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) [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>([(2,6),(2,7),(3,4),(3,5)],8)=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,6,2,7,5,8]=>[8,5,7,2,6,4,3,1]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,6,7,2,8,5]=>[5,8,2,7,6,4,3,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,4,7,2,5,8,6]=>[6,8,5,2,7,4,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,5,2,6,7,8,4]=>[4,8,7,6,2,5,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,5,2,6,7,4,8]=>[8,4,7,6,2,5,3,1]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,5,6,2,7,8,4]=>[4,8,7,2,6,5,3,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,6,2,4,7,8]=>[8,7,4,2,6,5,3,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,7,8,2,4,6]=>[6,4,2,8,7,5,3,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,6,2,4,7,8,5]=>[5,8,7,4,2,6,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,7,4,8,5,6]=>[6,5,8,4,7,2,3,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,7,2,4,8,5,6]=>[6,5,8,4,2,7,3,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,7,2,8,4,5,6]=>[6,5,4,8,2,7,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3]=>([(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),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4,5,2,6,7,8]=>[8,7,6,2,5,4,1,3]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,4,2,5,6,7,8]=>[8,7,6,5,2,4,1,3]=>([(4,7),(5,6),(5,7)],8)=>([(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,5,6,7,2,8]=>[8,2,7,6,5,1,4,3]=>([(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) [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,1,5,2,6,7,8]=>[8,7,6,2,5,1,4,3]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,6,2,7,8]=>[8,7,2,6,1,5,4,3]=>([(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) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>([(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) [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,6,1,2,7,8]=>[8,7,2,1,6,5,4,3]=>([(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) [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8)=>([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>([(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),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>([(4,6),(4,7),(5,6),(5,7)],8)=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8) [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,5,7,8,2,4,6]=>[6,4,2,8,7,5,1,3]=>([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]=>([(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,1,6,2,4,5,8,7]=>[7,8,5,4,2,6,1,3]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],8)=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,1,6,2,4,5,7,8]=>[8,7,5,4,2,6,1,3]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,6,1,7,2,8,4,5]=>[5,4,8,2,7,1,6,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,6,7,1,2,4,5,8]=>[8,5,4,2,1,7,6,3]=>([(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),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>([(2,7),(3,7),(4,6),(5,6)],8)=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>([(5,7),(6,7)],8)=>([(5,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,5,3,7,8,6]=>[6,8,7,3,5,4,2,1]=>([(2,6),(2,7),(3,4),(3,5)],8)=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,6,3,7,8,5]=>[5,8,7,3,6,4,2,1]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,6,3,7,5,8]=>[8,5,7,3,6,4,2,1]=>([(3,6),(3,7),(4,5),(4,7)],8)=>([(3,7),(4,6),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,6,7,3,8,5]=>[5,8,3,7,6,4,2,1]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,6,7,8,3,5]=>[5,3,8,7,6,4,2,1]=>([(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) [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(4,7),(5,6),(6,7)],8) [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,4,2,5,6,3,7,8]=>[8,7,3,6,5,2,4,1]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>([(4,7),(5,6),(5,7)],8)=>([(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,4,5,2,6,7,8,3]=>[3,8,7,6,2,5,4,1]=>([(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) [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,4,5,2,6,3,7,8]=>[8,7,3,6,2,5,4,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,4,5,6,2,7,3,8]=>[8,3,7,2,6,5,4,1]=>([(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) [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]=>([(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) [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]=>([(4,6),(4,7),(5,6),(5,7)],8)=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,2,3,5,8,7]=>[7,8,5,3,2,6,4,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>([(2,7),(3,7),(4,6),(5,6)],8)=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,7,3,8,5,6]=>[6,5,8,3,7,2,4,1]=>([(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2,7,3,5,6,8]=>[8,6,5,3,7,2,4,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,7,8,2,3,5,6]=>[6,5,3,2,8,7,4,1]=>([(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),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,8,6,7]=>[7,6,8,5,3,2,4,1]=>([(2,7),(3,7),(4,6),(5,6)],8)=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1]=>([(5,7),(6,7)],8)=>([(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,5,1,2,6,3,8,7]=>[7,8,3,6,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,5,1,6,2,7,3,8]=>[8,3,7,2,6,1,5,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,5,1,6,2,8,3,7]=>[7,3,8,2,6,1,5,4]=>([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>([(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) [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,3,5,8,7]=>[7,8,5,3,6,2,1,4]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],8)=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,7,8,5]=>[5,8,7,3,2,6,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]=>([(0,6),(1,5),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,6,2,3,5,7,8]=>[8,7,5,3,2,6,1,4]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,6,1,7,2,3,8,5]=>[5,8,3,2,7,1,6,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,1,2,8,3,5,7]=>[7,5,3,8,2,1,6,4]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8) [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,1,7,2,8,3,5,6]=>[6,5,3,8,2,7,1,4]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8) [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,1,7,8,2,3,5,6]=>[6,5,3,2,8,7,1,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,7,1,8,2,3,5,6]=>[6,5,3,2,8,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,7,8,4,6]=>[6,4,8,7,5,3,2,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[1,2,5,6,3,7,4,8]=>[8,4,7,3,6,5,2,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,2,5,6,7,3,8,4]=>[4,8,3,7,6,5,2,1]=>([(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) [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,5,6,7,8,3,4]=>[4,3,8,7,6,5,2,1]=>([(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) [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>([(4,6),(4,7),(5,6),(5,7)],8)=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,2,5,3,4,8,6,7]=>[7,6,8,4,3,5,2,1]=>([(2,7),(3,7),(4,6),(5,6)],8)=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,8,4,6,7]=>[7,6,4,8,3,5,2,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1]=>([(5,7),(6,7)],8)=>([(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,5,2,3,7,4,6,8]=>[8,6,4,7,3,2,5,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,5,7,2,3,4,8,6]=>[6,8,4,3,2,7,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,5,7,8,2,3,4,6]=>[6,4,3,2,8,7,5,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,1,2,3,6,4,7,8]=>[8,7,4,6,3,2,1,5]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[5,1,2,6,7,8,3,4]=>[4,3,8,7,6,2,1,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>([(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),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>([(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),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,1,7,2,3,4,8]=>[8,4,3,2,7,1,6,5]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>([(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) [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[5,6,1,2,8,3,4,7]=>[7,4,3,8,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[5,7,1,2,8,3,4,6]=>[6,4,3,8,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>([(3,7),(4,7),(5,7),(6,7)],8)=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]=>([(4,7),(5,6)],8)=>([(4,7),(5,6)],8) [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,2,3,4,6,8,5,7]=>[7,5,8,6,4,3,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,2,3,6,4,7,8,5]=>[5,8,7,4,6,3,2,1]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,2,3,6,4,7,5,8]=>[8,5,7,4,6,3,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,2,3,6,7,4,8,5]=>[5,8,4,7,6,3,2,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]=>([(4,6),(4,7),(5,6),(5,7)],8)=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,1]=>([(5,7),(6,7)],8)=>([(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,2,6,3,4,8,5,7]=>[7,5,8,4,3,6,2,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,2,6,3,8,4,5,7]=>[7,5,4,8,3,6,2,1]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,6,7,2,3,8,4,5]=>[5,4,8,3,2,7,6,1]=>([(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),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,6,7,2,8,3,4,5]=>[5,4,3,8,2,7,6,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,6,2,3,4,5,7,8]=>[8,7,5,4,3,2,6,1]=>([(3,7),(4,7),(5,7),(6,7)],8)=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>([(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)=>([(0,5),(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) [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,2,3,4,7,5,8,6]=>[6,8,5,7,4,3,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(4,7),(5,6),(6,7)],8) [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>([(4,6),(4,7),(5,6),(5,7)],8)=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1]=>([(5,7),(6,7)],8)=>([(5,7),(6,7)],8) [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,2,7,3,4,5,8,6]=>[6,8,5,4,3,7,2,1]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1]=>([(3,7),(4,7),(5,7),(6,7)],8)=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[7,1,2,3,8,4,5,6]=>[6,5,4,8,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[7,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>([(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)=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]=>([(5,7),(6,7)],8)=>([(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>([(3,7),(4,7),(5,7),(6,7)],8)=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>([],8)=>([],8)