=>

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