=>

[1,0]=>[2,1]=>([(0,1)],2) [1,0,1,0]=>[3,1,2]=>([(0,2),(1,2)],3) [1,1,0,0]=>[2,3,1]=>([(0,2),(1,2)],3) [1,0,1,0,1,0]=>[4,1,2,3]=>([(0,3),(1,3),(2,3)],4) [1,0,1,1,0,0]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4) [1,1,0,0,1,0]=>[2,4,1,3]=>([(0,3),(1,2),(2,3)],4) [1,1,0,1,0,0]=>[4,3,1,2]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4) [1,1,1,0,0,0]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4) [1,0,1,0,1,0,1,0]=>[5,1,2,3,4]=>([(0,4),(1,4),(2,4),(3,4)],5) [1,0,1,0,1,1,0,0]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,0,0,1,0]=>[3,1,5,2,4]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,0,1,1,0,1,0,0]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [1,0,1,1,1,0,0,0]=>[3,1,4,5,2]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,0,1,0,1,0]=>[2,5,1,3,4]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,0,1,1,0,0]=>[2,4,1,5,3]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,0,0,1,0]=>[5,3,1,2,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [1,1,0,1,0,1,0,0]=>[5,4,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) [1,1,0,1,1,0,0,0]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) [1,1,1,0,0,0,1,0]=>[2,3,5,1,4]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,1,0,0,1,0,0]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) [1,1,1,0,1,0,0,0]=>[5,3,4,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) [1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5) [1,0,1,0,1,0,1,0,1,0]=>[6,1,2,3,4,5]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6) [1,0,1,0,1,0,1,1,0,0]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,0,1,1,0,0,1,0]=>[4,1,2,6,3,5]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,0,1,1,0,1,0,0]=>[6,1,2,5,3,4]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,0,1,0,1,1,1,0,0,0]=>[4,1,2,5,6,3]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,0,1,0,1,0]=>[3,1,6,2,4,5]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,0,1,1,0,0]=>[3,1,5,2,6,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,0,1,1,0,1,0,0,1,0]=>[6,1,4,2,3,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,0,1,1,0,1,0,1,0,0]=>[6,1,5,2,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,0,1,1,0,1,1,0,0,0]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,2,5]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,0,1,0,0]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,0,0]=>[6,1,4,5,2,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,1,0,0,0,0]=>[3,1,4,5,6,2]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,0,1,0,1,0,1,0]=>[2,6,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,0,0,1,0]=>[2,4,1,6,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,0,1,1,0,1,0,0]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) [1,1,0,0,1,1,1,0,0,0]=>[2,4,1,5,6,3]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,0,0,1,0,1,0]=>[6,3,1,2,4,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,1,0,1,0,0,1,1,0,0]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) [1,1,0,1,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,1,0,1,0,1,0,1,0,0]=>[5,6,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,1,0,1,1,0,0,0]=>[5,4,1,2,6,3]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,1,0,1,1,0,0,0,1,0]=>[4,3,1,6,2,5]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,0,0]=>[6,3,1,5,2,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) [1,1,0,1,1,0,1,0,0,0]=>[6,4,1,5,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,0,0]=>[4,3,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) [1,1,1,0,0,0,1,0,1,0]=>[2,3,6,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,1,1,0,0,0,1,1,0,0]=>[2,3,5,1,6,4]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,1,0,0,1,0]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,1,1,0,0,1,0,1,0,0]=>[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,1,1,0,0,1,1,0,0,0]=>[2,5,4,1,6,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) [1,1,1,0,1,0,0,1,0,0]=>[6,3,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,1,1,0,1,0,1,0,0,0]=>[6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,1,1,0,1,1,0,0,0,0]=>[5,3,4,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,1,1,1,0,0,0,0,1,0]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,1,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) [1,1,1,1,0,0,1,0,0,0]=>[2,6,4,5,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) [1,1,1,1,0,1,0,0,0,0]=>[6,3,4,5,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) [1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6) [1,0,1,0,1,0,1,0,1,0,1,0]=>[7,1,2,3,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,0,1,0,1,1,0,0]=>[6,1,2,3,4,7,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,0,0,1,0]=>[5,1,2,3,7,4,6]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,0,1,0,0]=>[7,1,2,3,6,4,5]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,0,1,0,1,1,1,0,0,0]=>[5,1,2,3,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,0,1,1,0,0,1,0,1,0]=>[4,1,2,7,3,5,6]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,0,1,1,0,0,1,1,0,0]=>[4,1,2,6,3,7,5]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,0,1,1,0,1,0,0,1,0]=>[7,1,2,5,3,4,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,0,1,1,0,1,0,1,0,0]=>[7,1,2,6,3,4,5]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,0,1,1,0,1,1,0,0,0]=>[6,1,2,5,3,7,4]=>([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,0,1,0,0]=>[4,1,2,7,6,3,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) [1,0,1,0,1,1,1,0,1,0,0,0]=>[7,1,2,5,6,3,4]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,1,0,0,0,0]=>[4,1,2,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,7,2,4,5,6]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,1,0,0,1,0,1,1,0,0]=>[3,1,6,2,4,7,5]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,5,2,7,4,6]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,0,1,1,0,0,1,1,0,1,0,0]=>[3,1,7,2,6,4,5]=>([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) [1,0,1,1,0,0,1,1,1,0,0,0]=>[3,1,5,2,6,7,4]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,0,1,0,1,0]=>[7,1,4,2,3,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,0,1,0,0,1,1,0,0]=>[6,1,4,2,3,7,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,0,1,0,1,0,0,1,0]=>[7,1,5,2,3,4,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,0,1,0,1,0,1,0,0]=>[6,1,7,2,3,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,1,0,0,0]=>[6,1,5,2,3,7,4]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,0,1,0]=>[5,1,4,2,7,3,6]=>([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,1,0,0]=>[7,1,4,2,6,3,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,1,0,0,0]=>[7,1,5,2,6,3,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,0,1,1,1,0,0,0,0]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,7,2,5,6]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,0,1,1,0,0]=>[3,1,4,6,2,7,5]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,7,5,2,4,6]=>([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,0,0]=>[3,1,7,6,2,4,5]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,0,0]=>[3,1,6,5,2,7,4]=>([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,1,0,0,0,1,0]=>[7,1,4,5,2,3,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,0,0]=>[7,1,4,6,2,3,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,0,0]=>[7,1,6,5,2,3,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,0,0]=>[6,1,4,5,2,7,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,5,7,2,6]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,0,1,0,0]=>[3,1,4,7,6,2,5]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,7,5,6,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,0,0]=>[7,1,4,5,6,2,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,4,5,6,7,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,7,1,3,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,6,1,3,4,7,5]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,5,1,3,7,4,6]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,7,1,3,6,4,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,4,1,7,3,5,6]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,6,3,7,5]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,7,1,5,3,4,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,7,1,6,3,4,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,4,1,5,7,3,6]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,7,6,3,5]=>([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,7,1,5,6,3,4]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4,1,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,1,0,0,1,0,1,0,1,0]=>[7,3,1,2,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,0,0,1,0,1,1,0,0]=>[6,3,1,2,4,7,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,0,1,1,0,0,1,0]=>[5,3,1,2,7,4,6]=>([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) [1,1,0,1,0,0,1,1,0,1,0,0]=>[7,3,1,2,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,0,1,1,1,0,0,0]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,1,0,0,1,0,1,0]=>[7,4,1,2,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,0,1,0,0,1,1,0,0]=>[6,4,1,2,3,7,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,1,0,1,0,0,1,0]=>[5,7,1,2,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,1,2,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,1,2,3,7,4]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,0,0,0,1,0]=>[5,4,1,2,7,3,6]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,0,1,0,0]=>[7,4,1,2,6,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,0,0]=>[5,7,1,2,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,1,0,0,0,0]=>[5,4,1,2,6,7,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) [1,1,0,1,1,0,0,0,1,0,1,0]=>[4,3,1,7,2,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) [1,1,0,1,1,0,0,0,1,1,0,0]=>[4,3,1,6,2,7,5]=>([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,0,0,1,0]=>[7,3,1,5,2,4,6]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,0,1,0,0]=>[7,3,1,6,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,1,0,0,0]=>[6,3,1,5,2,7,4]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,1,5,2,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,0,0]=>[7,4,1,6,2,3,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,1,0,0,0]=>[6,7,1,5,2,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,1,1,0,0,0,0]=>[6,4,1,5,2,7,3]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,0,1,0]=>[4,3,1,5,7,2,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,1,0,0]=>[4,3,1,7,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,1,0,0,0]=>[7,3,1,5,6,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,0,0]=>[7,4,1,5,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,0,1,1,1,1,0,0,0,0,0]=>[4,3,1,5,6,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) [1,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,7,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,6,1,4,7,5]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,1,7,4,6]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,7,1,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,1,6,7,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,1,0,0,1,0,1,0]=>[2,7,4,1,3,5,6]=>([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,0,1,0,0,1,1,0,0]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,0,0,1,0]=>[2,7,5,1,3,4,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,0,1,0,0]=>[2,6,7,1,3,4,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,0,1,1,0,0,0]=>[2,6,5,1,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,0,0,1,0]=>[2,5,4,1,7,3,6]=>([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,1,0,0,1,0,0]=>[2,7,4,1,6,3,5]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,1,0,0,0]=>[2,7,5,1,6,3,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,0,1,1,1,0,0,0,0]=>[2,5,4,1,6,7,3]=>([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) [1,1,1,0,1,0,0,0,1,0,1,0]=>[7,3,4,1,2,5,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,0,0,0,1,1,0,0]=>[6,3,4,1,2,7,5]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,0,0,1,0,0,1,0]=>[7,3,5,1,2,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,1,0,0,1,0,1,0,0]=>[6,3,7,1,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,1,0,0,0]=>[6,3,5,1,2,7,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,0,0,1,0]=>[7,5,4,1,2,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,0,1,0,0]=>[6,7,4,1,2,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,1,0,1,0,0,0]=>[6,7,5,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,0,1,1,0,0,0,0]=>[6,5,4,1,2,7,3]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,1,1,0,0,0,0,1,0]=>[5,3,4,1,7,2,6]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,1,1,0,0,0,1,0,0]=>[7,3,4,1,6,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,1,1,0,0,1,0,0,0]=>[7,3,5,1,6,2,4]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,1,1,0,1,0,0,0,0]=>[7,5,4,1,6,2,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,0,0]=>[5,3,4,1,6,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,4,7,1,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,4,6,1,7,5]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,7,5,1,4,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,7,6,1,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) [1,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,6,5,1,7,4]=>([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) [1,1,1,1,0,0,1,0,0,0,1,0]=>[2,7,4,5,1,3,6]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,1,0,0,1,0,0,1,0,0]=>[2,7,4,6,1,3,5]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,1,0,0,1,0,1,0,0,0]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,1,0,0,1,1,0,0,0,0]=>[2,6,4,5,1,7,3]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,4,5,1,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,1,0,0,0,1,0,0]=>[7,3,4,6,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,1,0,1,0,0,1,0,0,0]=>[7,3,6,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,1,0,1,0,1,0,0,0,0]=>[7,6,4,5,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,4,5,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,4,5,7,1,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,4,7,6,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) [1,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,7,5,6,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) [1,1,1,1,1,0,0,1,0,0,0,0]=>[2,7,4,5,6,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,1,0,0,0,0,0]=>[7,3,4,5,6,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,1,2,3,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,1,2,3,4,5,8,6]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[6,1,2,3,4,8,5,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,1,2,3,4,7,5,6]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,1,2,3,4,7,8,5]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[5,1,2,3,8,4,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[5,1,2,3,7,4,8,6]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,1,2,3,6,4,5,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[8,1,2,3,7,4,5,6]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[7,1,2,3,6,4,8,5]=>([(0,7),(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[5,1,2,3,6,8,4,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[5,1,2,3,8,7,4,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6)],8) [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[8,1,2,3,6,7,4,5]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,1,2,3,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[4,1,2,8,3,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[4,1,2,7,3,5,8,6]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[4,1,2,6,3,8,5,7]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[4,1,2,8,3,7,5,6]=>([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7)],8) [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[4,1,2,6,3,7,8,5]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[8,1,2,5,3,4,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[7,1,2,5,3,4,8,6]=>([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[8,1,2,6,3,4,5,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,1,2,8,3,4,5,6]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[7,1,2,6,3,4,8,5]=>([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[6,1,2,5,3,8,4,7]=>([(0,7),(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[8,1,2,5,3,7,4,6]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[8,1,2,6,3,7,4,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[6,1,2,5,3,7,8,4]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[4,1,2,5,8,3,6,7]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[4,1,2,5,7,3,8,6]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[4,1,2,8,6,3,5,7]=>([(0,7),(1,4),(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[4,1,2,8,7,3,5,6]=>([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[4,1,2,7,6,3,8,5]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6)],8) [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[8,1,2,5,6,3,4,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[8,1,2,5,7,3,4,6]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[8,1,2,7,6,3,4,5]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[7,1,2,5,6,3,8,4]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[4,1,2,5,6,8,3,7]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[4,1,2,5,8,7,3,6]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[4,1,2,8,6,7,3,5]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[8,1,2,5,6,7,3,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,1,2,5,6,7,8,3]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,8,2,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[3,1,7,2,4,5,8,6]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,6,2,4,8,5,7]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,8,2,4,7,5,6]=>([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,6,2,4,7,8,5]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,8,4,6,7]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,5,2,7,4,8,6]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,8,2,6,4,5,7]=>([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,8,2,7,4,5,6]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,7,2,6,4,8,5]=>([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,5,2,6,8,4,7]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,5,2,8,7,4,6]=>([(0,4),(1,2),(1,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,8,2,6,7,4,5]=>([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,5,2,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,1,4,2,3,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,1,4,2,3,5,8,6]=>([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[6,1,4,2,3,8,5,7]=>([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[8,1,4,2,3,7,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[6,1,4,2,3,7,8,5]=>([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[8,1,5,2,3,4,6,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,1,5,2,3,4,8,6]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[6,1,8,2,3,4,5,7]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[8,1,7,2,3,4,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[6,1,7,2,3,4,8,5]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[6,1,5,2,3,8,4,7]=>([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[8,1,5,2,3,7,4,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[6,1,8,2,3,7,4,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[6,1,5,2,3,7,8,4]=>([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[5,1,4,2,8,3,6,7]=>([(0,7),(1,4),(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[5,1,4,2,7,3,8,6]=>([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[8,1,4,2,6,3,5,7]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[8,1,4,2,7,3,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[7,1,4,2,6,3,8,5]=>([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[8,1,5,2,6,3,4,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[8,1,5,2,7,3,4,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[7,1,8,2,6,3,4,5]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[7,1,5,2,6,3,8,4]=>([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[5,1,4,2,6,8,3,7]=>([(0,6),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[5,1,4,2,8,7,3,6]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[8,1,4,2,6,7,3,5]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[8,1,5,2,6,7,3,4]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[5,1,4,2,6,7,8,3]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,4,8,2,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,4,7,2,5,8,6]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,4,6,2,8,5,7]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,4,8,2,7,5,6]=>([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,4,6,2,7,8,5]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,8,5,2,4,6,7]=>([(0,7),(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,7,5,2,4,8,6]=>([(0,3),(1,4),(2,6),(2,7),(3,7),(4,5),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,8,6,2,4,5,7]=>([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,7,8,2,4,5,6]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,7,6,2,4,8,5]=>([(0,4),(1,2),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,6,5,2,8,4,7]=>([(0,3),(1,2),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,8,5,2,7,4,6]=>([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,8,6,2,7,4,5]=>([(0,1),(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,6,5,2,7,8,4]=>([(0,7),(1,7),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[8,1,4,5,2,3,6,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[7,1,4,5,2,3,8,6]=>([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[8,1,4,6,2,3,5,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[7,1,4,8,2,3,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[7,1,4,6,2,3,8,5]=>([(0,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,1,6,5,2,3,4,7]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[7,1,8,5,2,3,4,6]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[7,1,8,6,2,3,4,5]=>([(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),(5,6),(6,7)],8) [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[7,1,6,5,2,3,8,4]=>([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[6,1,4,5,2,8,3,7]=>([(0,7),(1,2),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[8,1,4,5,2,7,3,6]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[8,1,4,6,2,7,3,5]=>([(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[8,1,6,5,2,7,3,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[6,1,4,5,2,7,8,3]=>([(0,6),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,4,5,8,2,6,7]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[3,1,4,5,7,2,8,6]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,4,8,6,2,5,7]=>([(0,6),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[3,1,4,8,7,2,5,6]=>([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[3,1,4,7,6,2,8,5]=>([(0,7),(1,4),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,8,5,6,2,4,7]=>([(0,7),(1,2),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,8,5,7,2,4,6]=>([(0,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[3,1,8,7,6,2,4,5]=>([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,1,7,5,6,2,8,4]=>([(0,7),(1,2),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[8,1,4,5,6,2,3,7]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[8,1,4,5,7,2,3,6]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[8,1,4,7,6,2,3,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[8,1,7,5,6,2,3,4]=>([(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),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[7,1,4,5,6,2,8,3]=>([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,4,5,6,8,2,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[3,1,4,5,8,7,2,6]=>([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[3,1,4,8,6,7,2,5]=>([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,8,5,6,7,2,4]=>([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[8,1,4,5,6,7,2,3]=>([(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),(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,4,5,6,7,8,2]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,8,1,3,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,7,1,3,4,5,8,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,6,1,3,4,8,5,7]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,8,1,3,4,7,5,6]=>([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,6,1,3,4,7,8,5]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,5,1,3,8,4,6,7]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,7,4,8,6]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,8,1,3,6,4,5,7]=>([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,8,1,3,7,4,5,6]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,7,1,3,6,4,8,5]=>([(0,7),(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,5,1,3,6,8,4,7]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,5,1,3,8,7,4,6]=>([(0,7),(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,8,1,3,6,7,4,5]=>([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,5,1,3,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,4,1,8,3,5,6,7]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,4,1,7,3,5,8,6]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,4,1,6,3,8,5,7]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,4,1,8,3,7,5,6]=>([(0,5),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,4,1,6,3,7,8,5]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,8,1,5,3,4,6,7]=>([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,7,1,5,3,4,8,6]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,8,1,6,3,4,5,7]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,7,1,8,3,4,5,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,7,1,6,3,4,8,5]=>([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,6,1,5,3,8,4,7]=>([(0,3),(1,4),(2,6),(2,7),(3,7),(4,5),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,8,1,5,3,7,4,6]=>([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,6,1,5,3,7,8,4]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,4,1,5,8,3,6,7]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,4,1,5,7,3,8,6]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,4,1,8,6,3,5,7]=>([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,8,7,3,5,6]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,4,1,7,6,3,8,5]=>([(0,7),(1,3),(2,3),(2,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,8,1,5,6,3,4,7]=>([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,8,1,5,7,3,4,6]=>([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,8,1,7,6,3,4,5]=>([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,7,1,5,6,3,8,4]=>([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,4,1,5,6,8,3,7]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1,5,8,7,3,6]=>([(0,4),(1,7),(2,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,1,8,6,7,3,5]=>([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,8,1,5,6,7,3,4]=>([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,1,5,6,7,8,3]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,3,1,2,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,3,1,2,4,5,8,6]=>([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[6,3,1,2,4,8,5,7]=>([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[8,3,1,2,4,7,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,3,1,2,4,7,8,5]=>([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[5,3,1,2,8,4,6,7]=>([(0,6),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7)],8) [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[5,3,1,2,7,4,8,6]=>([(0,5),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,3,1,2,6,4,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[8,3,1,2,7,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[7,3,1,2,6,4,8,5]=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[5,3,1,2,6,8,4,7]=>([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,1,2,8,7,4,6]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(6,7)],8) [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[8,3,1,2,6,7,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,3,1,2,6,7,8,4]=>([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,4,1,2,3,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,4,1,2,3,5,8,6]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[6,4,1,2,3,8,5,7]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[8,4,1,2,3,7,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,4,1,2,3,7,8,5]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[5,8,1,2,3,4,6,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[5,7,1,2,3,4,8,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,1,2,3,4,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,1,2,3,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7,6,1,2,3,4,8,5]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[5,6,1,2,3,8,4,7]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[5,8,1,2,3,7,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[8,6,1,2,3,7,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,1,2,3,7,8,4]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[5,4,1,2,8,3,6,7]=>([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[5,4,1,2,7,3,8,6]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,4,1,2,6,3,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[8,4,1,2,7,3,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[7,4,1,2,6,3,8,5]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[5,8,1,2,6,3,4,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[5,8,1,2,7,3,4,6]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[8,7,1,2,6,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[5,7,1,2,6,3,8,4]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[5,4,1,2,6,8,3,7]=>([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[5,4,1,2,8,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[8,4,1,2,6,7,3,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[5,8,1,2,6,7,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[5,4,1,2,6,7,8,3]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[4,3,1,8,2,5,6,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6)],8) [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[4,3,1,7,2,5,8,6]=>([(0,7),(1,3),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[4,3,1,6,2,8,5,7]=>([(0,4),(1,2),(1,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[4,3,1,8,2,7,5,6]=>([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(6,7)],8) [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[4,3,1,6,2,7,8,5]=>([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,6)],8) [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,3,1,5,2,4,6,7]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,3,1,5,2,4,8,6]=>([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,3,1,6,2,4,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,3,1,8,2,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[7,3,1,6,2,4,8,5]=>([(0,5),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[6,3,1,5,2,8,4,7]=>([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[8,3,1,5,2,7,4,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[8,3,1,6,2,7,4,5]=>([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[6,3,1,5,2,7,8,4]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,4,1,5,2,3,6,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,4,1,5,2,3,8,6]=>([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,4,1,6,2,3,5,7]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,4,1,8,2,3,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[7,4,1,6,2,3,8,5]=>([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[6,8,1,5,2,3,4,7]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[8,7,1,5,2,3,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[8,7,1,6,2,3,4,5]=>([(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),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[6,7,1,5,2,3,8,4]=>([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[6,4,1,5,2,8,3,7]=>([(0,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[8,4,1,5,2,7,3,6]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[8,4,1,6,2,7,3,5]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[6,8,1,5,2,7,3,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[6,4,1,5,2,7,8,3]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,1,5,8,2,6,7]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,1,5,7,2,8,6]=>([(0,4),(1,7),(2,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,1,8,6,2,5,7]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,1,8,7,2,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,1,7,6,2,8,5]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7)],8) [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[8,3,1,5,6,2,4,7]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[8,3,1,5,7,2,4,6]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[8,3,1,7,6,2,4,5]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[7,3,1,5,6,2,8,4]=>([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,1,5,6,2,3,7]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[8,4,1,5,7,2,3,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[8,4,1,7,6,2,3,5]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[7,8,1,5,6,2,3,4]=>([(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),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[7,4,1,5,6,2,8,3]=>([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[4,3,1,5,6,8,2,7]=>([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[4,3,1,5,8,7,2,6]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,3,1,8,6,7,2,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[8,3,1,5,6,7,2,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[8,4,1,5,6,7,2,3]=>([(0,4),(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),(5,7),(6,7)],8) [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,1,5,6,7,8,2]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,8,1,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,3,7,1,4,5,8,6]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[2,3,6,1,4,8,5,7]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,3,8,1,4,7,5,6]=>([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,3,6,1,4,7,8,5]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,3,5,1,8,4,6,7]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,3,5,1,7,4,8,6]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[2,3,8,1,6,4,5,7]=>([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,3,8,1,7,4,5,6]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,3,7,1,6,4,8,5]=>([(0,4),(1,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,3,5,1,6,8,4,7]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,3,5,1,8,7,4,6]=>([(0,7),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,6)],8) [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,3,8,1,6,7,4,5]=>([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,3,5,1,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,8,4,1,3,5,6,7]=>([(0,7),(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,7,4,1,3,5,8,6]=>([(0,7),(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,6,4,1,3,8,5,7]=>([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,8,4,1,3,7,5,6]=>([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,6,4,1,3,7,8,5]=>([(0,4),(1,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,8,5,1,3,4,6,7]=>([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,7,5,1,3,4,8,6]=>([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,6,8,1,3,4,5,7]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,8,7,1,3,4,5,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,6,7,1,3,4,8,5]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,6,5,1,3,8,4,7]=>([(0,4),(1,2),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,8,5,1,3,7,4,6]=>([(0,5),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,6,8,1,3,7,4,5]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,6,5,1,3,7,8,4]=>([(0,5),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,5,4,1,8,3,6,7]=>([(0,7),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6)],8) [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,5,4,1,7,3,8,6]=>([(0,7),(1,3),(2,3),(2,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,8,4,1,6,3,5,7]=>([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,8,4,1,7,3,5,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,7,4,1,6,3,8,5]=>([(0,6),(1,5),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,8,5,1,6,3,4,7]=>([(0,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,8,5,1,7,3,4,6]=>([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,7,8,1,6,3,4,5]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,7,5,1,6,3,8,4]=>([(0,6),(1,4),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,1,6,8,3,7]=>([(0,7),(1,4),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,1,8,7,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7)],8) [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,8,4,1,6,7,3,5]=>([(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,8,5,1,6,7,3,4]=>([(0,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,5,4,1,6,7,8,3]=>([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,3,4,1,2,5,6,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[7,3,4,1,2,5,8,6]=>([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[6,3,4,1,2,8,5,7]=>([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[8,3,4,1,2,7,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,3,4,1,2,7,8,5]=>([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,3,5,1,2,4,6,7]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,3,5,1,2,4,8,6]=>([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[6,3,8,1,2,4,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[8,3,7,1,2,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[6,3,7,1,2,4,8,5]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[6,3,5,1,2,8,4,7]=>([(0,1),(1,5),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[8,3,5,1,2,7,4,6]=>([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,3,8,1,2,7,4,5]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[6,3,5,1,2,7,8,4]=>([(0,6),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,5,4,1,2,3,6,7]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,5,4,1,2,3,8,6]=>([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[6,8,4,1,2,3,5,7]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[8,7,4,1,2,3,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,1,2,3,8,5]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[6,8,5,1,2,3,4,7]=>([(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),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,7,5,1,2,3,4,6]=>([(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),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>([(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]=>[6,7,5,1,2,3,8,4]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[6,5,4,1,2,8,3,7]=>([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[8,5,4,1,2,7,3,6]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[6,8,4,1,2,7,3,5]=>([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[6,8,5,1,2,7,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[6,5,4,1,2,7,8,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[5,3,4,1,8,2,6,7]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,3,4,1,7,2,8,6]=>([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[8,3,4,1,6,2,5,7]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[8,3,4,1,7,2,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[7,3,4,1,6,2,8,5]=>([(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[8,3,5,1,6,2,4,7]=>([(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[8,3,5,1,7,2,4,6]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[7,3,8,1,6,2,4,5]=>([(0,3),(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[7,3,5,1,6,2,8,4]=>([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[8,5,4,1,6,2,3,7]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[8,5,4,1,7,2,3,6]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[7,8,4,1,6,2,3,5]=>([(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),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[7,8,5,1,6,2,3,4]=>([(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),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[7,5,4,1,6,2,8,3]=>([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[5,3,4,1,6,8,2,7]=>([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,3,4,1,8,7,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[8,3,4,1,6,7,2,5]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[8,3,5,1,6,7,2,4]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[8,5,4,1,6,7,2,3]=>([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[5,3,4,1,6,7,8,2]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,4,8,1,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,3,4,7,1,5,8,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,3,4,6,1,8,5,7]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,3,4,8,1,7,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,4,6,1,7,8,5]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,3,8,5,1,4,6,7]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,3,7,5,1,4,8,6]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,3,8,6,1,4,5,7]=>([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,7,8,1,4,5,6]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,7,6,1,4,8,5]=>([(0,5),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,3,6,5,1,8,4,7]=>([(0,7),(1,7),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,8,5,1,7,4,6]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,8,6,1,7,4,5]=>([(0,6),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,6,5,1,7,8,4]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,8,4,5,1,3,6,7]=>([(0,7),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,7,4,5,1,3,8,6]=>([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,8,4,6,1,3,5,7]=>([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,7,4,8,1,3,5,6]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,7,4,6,1,3,8,5]=>([(0,6),(1,4),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,8,6,5,1,3,4,7]=>([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,7,8,5,1,3,4,6]=>([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,7,8,6,1,3,4,5]=>([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,7,6,5,1,3,8,4]=>([(0,4),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,6,4,5,1,8,3,7]=>([(0,7),(1,2),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,8,4,5,1,7,3,6]=>([(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,8,4,6,1,7,3,5]=>([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,8,6,5,1,7,3,4]=>([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,6,4,5,1,7,8,3]=>([(0,7),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[8,3,4,5,1,2,6,7]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,3,4,5,1,2,8,6]=>([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[8,3,4,6,1,2,5,7]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,3,4,8,1,2,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[7,3,4,6,1,2,8,5]=>([(0,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[8,3,6,5,1,2,4,7]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,3,8,5,1,2,4,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[7,3,8,6,1,2,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[7,3,6,5,1,2,8,4]=>([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[8,6,4,5,1,2,3,7]=>([(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),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[7,8,4,5,1,2,3,6]=>([(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),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[7,8,4,6,1,2,3,5]=>([(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),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[7,8,6,5,1,2,3,4]=>([(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),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[7,6,4,5,1,2,8,3]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,3,4,5,1,8,2,7]=>([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[8,3,4,5,1,7,2,6]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[8,3,4,6,1,7,2,5]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[8,3,6,5,1,7,2,4]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[8,6,4,5,1,7,2,3]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[6,3,4,5,1,7,8,2]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,3,4,5,8,1,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,3,4,5,7,1,8,6]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,3,4,8,6,1,5,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,3,4,8,7,1,5,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,3,4,7,6,1,8,5]=>([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,3,8,5,6,1,4,7]=>([(0,6),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,3,8,5,7,1,4,6]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,3,8,7,6,1,4,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,3,7,5,6,1,8,4]=>([(0,7),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,8,4,5,6,1,3,7]=>([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,8,4,5,7,1,3,6]=>([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,8,4,7,6,1,3,5]=>([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,8,7,5,6,1,3,4]=>([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,7,4,5,6,1,8,3]=>([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,1,2,7]=>([(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),(5,7),(6,7)],8) [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[8,3,4,5,7,1,2,6]=>([(0,4),(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),(5,7),(6,7)],8) [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[8,3,4,7,6,1,2,5]=>([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[8,3,7,5,6,1,2,4]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[8,7,4,5,6,1,2,3]=>([(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),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[7,3,4,5,6,1,8,2]=>([(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),(5,6),(6,7)],8) [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,3,4,5,6,8,1,7]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,3,4,5,8,7,1,6]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,3,4,8,6,7,1,5]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,3,8,5,6,7,1,4]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,8,4,5,6,7,1,3]=>([(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),(5,6),(6,7)],8) [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[8,3,4,5,6,7,1,2]=>([(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),(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,1,2,3,4,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,1,2,3,4,5,6,9,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[7,1,2,3,4,5,9,6,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[9,1,2,3,4,5,8,6,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[7,1,2,3,4,5,8,9,6]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[6,1,2,3,4,9,5,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[6,1,2,3,4,8,5,9,7]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[9,1,2,3,4,7,5,6,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[9,1,2,3,4,8,5,6,7]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[8,1,2,3,4,7,5,9,6]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[6,1,2,3,4,7,9,5,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[6,1,2,3,4,9,8,5,7]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(5,8),(6,7)],9) [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[9,1,2,3,4,7,8,5,6]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[6,1,2,3,4,7,8,9,5]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[5,1,2,3,9,4,6,7,8]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[5,1,2,3,8,4,6,9,7]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[8,1,2,3,9,4,5,6,7]=>([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[5,1,2,3,9,8,4,6,7]=>([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9) [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[9,1,2,3,6,8,4,5,7]=>([(0,8),(1,8),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[5,1,2,3,6,9,8,4,7]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[5,1,2,3,6,7,8,9,4]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[4,1,2,8,3,5,6,9,7]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,9,3,5,8,6,7]=>([(0,8),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(7,8)],9) [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[4,1,2,9,3,8,5,6,7]=>([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[9,1,2,8,3,4,5,6,7]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[7,1,2,8,3,4,5,9,6]=>([(0,8),(1,8),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,2,5,9,3,6,7,8]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[4,1,2,8,9,3,5,6,7]=>([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[8,1,2,5,9,3,4,6,7]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[8,1,2,9,6,3,4,5,7]=>([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,5,9,8,3,6,7]=>([(0,6),(1,5),(2,5),(3,7),(3,8),(4,7),(4,8),(5,6),(6,7),(6,8),(7,8)],9) [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[9,1,2,8,6,7,3,4,5]=>([(0,8),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,5,6,7,9,3,8]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,1,2,9,6,7,8,3,5]=>([(0,5),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(6,8),(7,8)],9) [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[9,1,2,5,6,7,8,3,4]=>([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,1,2,5,6,7,8,9,3]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,9,2,4,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,8,2,4,5,6,9,7]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,9,2,4,5,8,6,7]=>([(0,6),(1,8),(2,8),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(7,8)],9) [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,5,2,7,4,9,6,8]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[8,1,4,2,3,5,6,9,7]=>([(0,8),(1,8),(2,8),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[9,1,4,2,3,5,8,6,7]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[6,1,4,2,3,7,8,9,5]=>([(0,8),(1,7),(2,7),(3,7),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,1,8,2,3,4,5,6,7]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8,1,7,2,3,4,5,9,6]=>([(0,8),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,9,2,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,4,9,2,5,8,6,7]=>([(0,8),(1,6),(2,5),(3,7),(3,8),(4,7),(4,8),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,9,8,2,4,5,6,7]=>([(0,5),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(6,7),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[9,1,4,5,2,3,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[7,1,4,5,2,3,8,9,6]=>([(0,7),(1,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[7,1,4,9,2,3,5,6,8]=>([(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[9,1,4,8,2,3,5,6,7]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[9,1,6,5,2,3,4,7,8]=>([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,1,9,6,2,3,4,5,8]=>([(0,8),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[9,1,8,6,2,3,4,5,7]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,1,8,9,2,3,4,5,6]=>([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,1,4,8,9,2,5,6,7]=>([(0,8),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,1,8,9,7,2,4,5,6]=>([(0,1),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[8,1,4,5,6,2,3,9,7]=>([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[8,1,4,9,7,2,3,5,6]=>([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[8,1,9,5,6,2,3,4,7]=>([(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[8,1,9,7,6,2,3,4,5]=>([(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9) [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[7,1,4,5,6,2,8,9,3]=>([(0,8),(1,7),(2,7),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,1,4,5,6,9,2,7,8]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,1,4,5,6,8,2,9,7]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,1,4,9,8,7,2,5,6]=>([(0,8),(1,2),(2,8),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,1,9,8,6,7,2,4,5]=>([(0,1),(1,6),(2,4),(2,5),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[9,1,4,5,6,7,2,3,8]=>([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[9,1,4,8,6,7,2,3,5]=>([(0,8),(1,5),(1,6),(1,8),(2,3),(2,4),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[9,1,8,5,6,7,2,3,4]=>([(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[8,1,4,5,6,7,2,9,3]=>([(0,8),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,9,2,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,1,4,9,6,7,8,2,5]=>([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,9,5,6,7,8,2,4]=>([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[9,1,4,5,6,7,8,2,3]=>([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,1,4,5,6,7,8,9,2]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,9,1,3,4,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,8,1,3,4,5,6,9,7]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,7,1,3,4,5,9,6,8]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,9,1,3,4,5,8,6,7]=>([(0,8),(1,8),(2,8),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,7,1,3,4,5,8,9,6]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,6,1,3,4,9,5,7,8]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,9,1,3,4,8,5,6,7]=>([(0,6),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,8,1,3,9,4,5,6,7]=>([(0,6),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,9,1,3,8,7,4,5,6]=>([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,9,1,3,6,7,8,4,5]=>([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,5,1,3,6,7,8,9,4]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,6,3,8,5,9,7]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,9,1,8,3,4,5,6,7]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,7,1,6,3,4,8,9,5]=>([(0,6),(1,6),(2,5),(3,7),(3,8),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,1,5,3,7,8,9,4]=>([(0,8),(1,8),(2,8),(3,4),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9) [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,1,5,9,3,6,7,8]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,8,9,3,5,6,7]=>([(0,5),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(6,7),(6,8)],9) [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,8,1,9,7,3,4,5,6]=>([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,9,1,8,6,7,3,4,5]=>([(0,1),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1,5,6,7,9,3,8]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1,5,6,9,8,3,7]=>([(0,8),(1,8),(2,4),(3,6),(3,7),(4,5),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,9,1,5,6,7,8,3,4]=>([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,4,1,5,6,7,8,9,3]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,3,1,2,4,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[8,3,1,2,4,5,6,9,7]=>([(0,8),(1,8),(2,8),(3,4),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[9,3,1,2,4,5,8,6,7]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[6,3,1,2,4,7,8,9,5]=>([(0,8),(1,7),(2,7),(3,7),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[9,3,1,2,6,7,8,4,5]=>([(0,5),(0,8),(1,5),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,3,1,2,6,7,8,9,4]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[9,4,1,2,3,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[7,4,1,2,3,5,8,9,6]=>([(0,8),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[6,4,1,2,3,7,8,9,5]=>([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[5,9,1,2,3,4,6,7,8]=>([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[5,8,1,2,3,4,6,9,7]=>([(0,6),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,7,1,2,3,4,8,9,6]=>([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[9,6,1,2,3,4,5,7,8]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[8,6,1,2,3,4,5,9,7]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,1,2,3,4,5,6,8]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,9,1,2,3,4,5,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8,7,1,2,3,4,5,9,6]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[9,6,1,2,3,4,8,5,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[9,7,1,2,3,4,8,5,6]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[7,6,1,2,3,4,8,9,5]=>([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[5,9,1,2,3,8,4,6,7]=>([(0,6),(0,8),(1,6),(1,8),(2,6),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[9,8,1,2,3,7,4,5,6]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[8,6,1,2,3,7,4,9,5]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[9,6,1,2,3,7,8,4,5]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[5,6,1,2,3,7,8,9,4]=>([(0,8),(1,8),(2,8),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[5,4,1,2,9,3,6,7,8]=>([(0,6),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9) [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[8,4,1,2,9,3,5,6,7]=>([(0,6),(0,8),(1,6),(1,8),(2,6),(2,8),(3,7),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[5,8,1,2,9,3,4,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,6),(2,8),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[9,7,1,2,6,3,8,4,5]=>([(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[9,8,1,2,6,7,3,4,5]=>([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,1,2,6,7,9,3,8]=>([(0,8),(1,8),(2,3),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9) [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,4,1,2,6,7,8,9,3]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9) [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,1,9,2,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(5,8),(6,7)],9) [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[9,3,1,8,2,4,5,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[9,4,1,8,2,3,5,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[6,9,1,5,2,3,4,7,8]=>([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,7,1,6,2,3,4,5,8]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,1,9,2,3,4,5,6]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[8,7,1,6,2,3,4,9,5]=>([(0,5),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[9,4,1,6,2,8,3,5,7]=>([(0,7),(0,8),(1,6),(1,8),(2,5),(2,6),(2,8),(3,5),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[9,8,1,6,2,7,3,4,5]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[9,8,1,7,6,2,3,4,5]=>([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[4,3,1,5,6,8,2,9,7]=>([(0,8),(1,8),(2,4),(3,6),(3,7),(4,5),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[4,3,1,5,9,8,2,6,7]=>([(0,8),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,8),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,3,1,5,8,7,2,9,6]=>([(0,7),(1,8),(2,5),(2,6),(3,4),(3,7),(3,8),(4,7),(4,8),(5,6),(5,8),(6,8)],9) [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[8,9,1,5,6,7,2,3,4]=>([(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1,5,6,7,9,2,8]=>([(0,8),(1,8),(2,8),(3,4),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9) [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1,5,6,9,8,2,7]=>([(0,8),(1,8),(2,6),(2,7),(3,4),(3,5),(4,5),(4,8),(5,8),(6,7),(6,8),(7,8)],9) [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[9,3,1,5,6,7,8,2,4]=>([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[9,4,1,5,6,7,8,2,3]=>([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,3,1,5,6,7,8,9,2]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9) [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,9,1,4,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,8,1,4,5,6,9,7]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,9,1,4,5,8,6,7]=>([(0,8),(1,8),(2,6),(3,6),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,9,1,4,7,8,5,6]=>([(0,7),(1,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,9,1,8,7,4,5,6]=>([(0,5),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,8,1,6,7,4,9,5]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,5,1,6,7,9,4,8]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,9,1,6,7,8,4,5]=>([(0,5),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,5,1,6,7,8,9,4]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,9,4,1,3,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,6,4,1,3,7,8,9,5]=>([(0,7),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,9,5,1,3,4,6,7,8]=>([(0,8),(1,8),(2,8),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,6,9,1,3,4,5,7,8]=>([(0,8),(1,8),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,9,7,1,3,4,5,6,8]=>([(0,8),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,9,8,1,3,4,5,6,7]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,6,7,1,3,4,8,9,5]=>([(0,6),(1,6),(2,5),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,9,4,1,6,3,5,7,8]=>([(0,7),(1,8),(2,8),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,8,4,1,9,3,5,6,7]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,9,4,1,6,3,8,5,7]=>([(0,7),(1,6),(1,8),(2,3),(2,4),(2,8),(3,5),(3,8),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,9,8,1,7,3,4,5,6]=>([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,9,5,1,6,7,8,3,4]=>([(0,4),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[9,3,4,1,2,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[6,3,4,1,2,7,8,9,5]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[9,3,7,1,2,4,5,6,8]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[9,3,8,1,2,4,5,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[9,5,4,1,2,3,6,7,8]=>([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[8,5,4,1,2,3,6,9,7]=>([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[6,9,4,1,2,3,5,7,8]=>([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,8,4,1,2,3,5,9,7]=>([(0,2),(1,7),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[9,7,4,1,2,3,5,6,8]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[9,8,4,1,2,3,5,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[6,9,5,1,2,3,4,7,8]=>([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,8,5,1,2,3,4,9,7]=>([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[8,7,5,1,2,3,4,9,6]=>([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[6,7,9,1,2,3,4,5,8]=>([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,9,8,1,2,3,4,5,7]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,7,8,1,2,3,4,5,6]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[6,7,8,1,2,3,4,9,5]=>([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,5,4,1,2,8,3,9,7]=>([(0,2),(1,2),(1,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[9,8,5,1,7,2,3,4,6]=>([(0,6),(0,7),(0,8),(1,5),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[7,8,9,1,6,2,3,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[7,8,5,1,6,2,3,9,4]=>([(0,5),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,3,4,1,6,8,2,9,7]=>([(0,3),(1,8),(2,3),(2,8),(4,5),(4,6),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[9,3,4,1,8,7,2,5,6]=>([(0,1),(0,2),(0,8),(1,5),(1,8),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[8,3,4,1,6,7,2,9,5]=>([(0,6),(1,2),(1,3),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[9,5,4,1,8,7,2,3,6]=>([(0,6),(0,7),(0,8),(1,4),(1,5),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,8),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[8,5,4,1,6,7,2,9,3]=>([(0,7),(1,4),(1,7),(1,8),(2,4),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,3,4,1,9,7,8,2,6]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,8),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[9,3,5,1,6,7,8,2,4]=>([(0,4),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[9,5,4,1,6,7,8,2,3]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[5,3,4,1,6,7,8,9,2]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,9,1,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,9,1,5,8,6,7]=>([(0,8),(1,7),(2,7),(3,7),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,9,1,7,8,5,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,6,1,7,8,9,5]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[2,3,9,5,1,4,6,7,8]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[2,3,9,6,1,4,5,7,8]=>([(0,8),(1,8),(2,6),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[2,3,7,9,1,4,5,6,8]=>([(0,8),(1,6),(2,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,9,8,1,4,5,6,7]=>([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[2,3,9,5,1,7,4,6,8]=>([(0,8),(1,7),(2,7),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[2,3,9,6,1,7,8,4,5]=>([(0,7),(1,7),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[2,9,4,5,1,3,6,7,8]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[2,7,4,5,1,3,8,9,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(3,8),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[2,9,8,6,1,3,4,5,7]=>([(0,5),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[2,7,8,9,1,3,4,5,6]=>([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[2,8,9,6,1,7,3,4,5]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[2,9,6,5,1,7,8,3,4]=>([(0,3),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[7,3,4,5,1,2,8,9,6]=>([(0,5),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[9,3,4,8,1,2,5,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[7,3,4,8,1,2,5,9,6]=>([(0,4),(1,7),(1,8),(2,5),(2,6),(2,8),(3,5),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[7,3,8,9,1,2,4,5,6]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[9,8,4,5,1,2,3,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[7,8,4,6,1,2,3,9,5]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[9,8,6,5,1,2,3,4,7]=>([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[7,8,9,6,1,2,3,4,5]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[7,8,6,5,1,2,3,9,4]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[8,3,9,6,1,7,2,4,5]=>([(0,3),(0,5),(0,8),(1,4),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[8,3,6,5,1,7,2,9,4]=>([(0,7),(1,6),(1,7),(1,8),(2,3),(2,6),(2,8),(3,4),(3,5),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[8,6,4,5,1,7,2,9,3]=>([(0,7),(1,5),(1,7),(1,8),(2,3),(2,4),(2,6),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[6,3,4,5,1,7,9,2,8]=>([(0,8),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[6,3,4,5,1,9,8,2,7]=>([(0,4),(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[9,3,4,6,1,7,8,2,5]=>([(0,5),(0,7),(0,8),(1,5),(1,7),(1,8),(2,4),(2,7),(2,8),(3,4),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[6,3,4,5,1,7,8,9,2]=>([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[2,3,4,5,9,1,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[2,3,4,5,8,1,6,9,7]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[2,3,4,5,9,1,8,6,7]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(7,8)],9) [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[2,3,4,5,7,1,8,9,6]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[2,3,4,9,6,1,5,7,8]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[2,3,4,9,7,1,5,6,8]=>([(0,8),(1,7),(2,7),(3,7),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[2,3,4,9,6,1,8,5,7]=>([(0,7),(1,7),(2,7),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[2,3,4,9,7,1,8,5,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[2,3,9,5,6,1,4,7,8]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[2,3,8,5,6,1,4,9,7]=>([(0,7),(1,7),(2,3),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[2,3,9,5,6,1,8,4,7]=>([(0,7),(1,7),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[2,8,4,5,6,1,3,9,7]=>([(0,7),(1,2),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[2,8,9,5,7,1,3,4,6]=>([(0,5),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[2,8,9,7,6,1,3,4,5]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[2,9,7,5,6,1,8,3,4]=>([(0,6),(1,4),(1,5),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[8,3,4,5,6,1,2,9,7]=>([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[8,3,4,7,6,1,2,9,5]=>([(0,3),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[8,3,9,7,6,1,2,4,5]=>([(0,3),(0,4),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[8,3,7,5,6,1,2,9,4]=>([(0,6),(1,4),(1,5),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[9,7,4,5,6,1,2,3,8]=>([(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[8,9,4,5,6,1,2,3,7]=>([(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[8,9,7,5,6,1,2,3,4]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[8,7,4,5,6,1,2,9,3]=>([(0,6),(1,3),(1,4),(1,5),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,3,4,5,6,1,9,2,8]=>([(0,1),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[9,3,4,5,6,1,8,2,7]=>([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[9,3,7,5,6,1,8,2,4]=>([(0,5),(0,7),(0,8),(1,4),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[7,3,4,5,6,1,8,9,2]=>([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[2,3,4,5,6,9,1,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,3,4,5,6,8,1,9,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[2,3,4,5,9,7,1,6,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[2,3,4,5,9,8,1,6,7]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[2,3,4,9,6,7,1,5,8]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[2,3,9,5,6,7,1,4,8]=>([(0,8),(1,7),(2,7),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[2,3,9,5,6,8,1,4,7]=>([(0,7),(1,7),(2,6),(2,8),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[2,9,4,5,6,7,1,3,8]=>([(0,8),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[2,9,4,5,6,8,1,3,7]=>([(0,7),(1,5),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[2,9,4,5,8,7,1,3,6]=>([(0,7),(1,4),(1,7),(1,8),(2,4),(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[2,9,4,8,6,7,1,3,5]=>([(0,7),(1,5),(1,7),(1,8),(2,3),(2,4),(2,6),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[2,9,8,5,6,7,1,3,4]=>([(0,6),(1,3),(1,4),(1,5),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,8,4,5,6,7,1,9,3]=>([(0,8),(1,7),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,1,2,8]=>([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[9,3,4,5,6,8,1,2,7]=>([(0,5),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[9,8,4,5,6,7,1,2,3]=>([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[8,3,4,5,6,7,1,9,2]=>([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,3,4,5,6,7,9,1,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,3,4,5,6,9,8,1,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(6,7),(6,8),(7,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[2,3,4,5,9,7,8,1,6]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[2,3,4,9,6,7,8,1,5]=>([(0,8),(1,8),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[2,3,9,5,6,7,8,1,4]=>([(0,8),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,9,4,5,6,7,8,1,3]=>([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[9,3,4,5,6,7,8,1,2]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[2,3,4,5,6,7,8,10,1,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,1,4,5,6,7,8,9,10,2]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[2,3,4,5,6,7,8,9,11,1,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[10,3,4,5,6,7,8,1,2,9]=>([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[10,1,4,5,6,7,8,9,2,3]=>([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,1,4,5,6,7,8,9,10,11,2]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,12,1,11]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12) [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[11,3,4,5,6,7,8,9,1,2,10]=>([(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(9,10)],11) [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[2,10,4,5,6,7,8,1,3,9]=>([(0,9),(1,8),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,1,10,2,9]=>([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,10,5,6,7,8,9,2,4]=>([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[9,1,4,5,6,7,8,2,10,3]=>([(0,9),(1,8),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[11,1,4,5,6,7,8,9,10,2,3]=>([(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(9,10)],11) [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[3,1,4,5,6,7,8,9,10,11,12,2]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12) [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[10,1,9,5,6,7,8,2,3,4]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,11,5,6,7,8,9,10,2,4]=>([(0,1),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]=>[2,3,4,10,6,7,8,1,5,9]=>([(0,9),(1,9),(2,9),(3,8),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[11,1,10,5,6,7,8,9,2,3,4]=>([(0,10),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[2,3,4,5,10,7,8,1,6,9]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,1,10,9,6,7,8,2,4,5]=>([(0,1),(1,7),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[2,3,4,5,6,10,8,1,7,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10) [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[4,3,1,5,6,7,8,10,2,9]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[2,3,4,5,6,7,9,1,10,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10) [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[9,1,10,8,6,7,2,3,4,5]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,4,1,5,6,7,8,9,10,3]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10) [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[2,3,4,5,6,7,10,1,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,10,2,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10) [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[9,3,4,5,6,7,1,2,10,8]=>([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[10,1,11,9,6,7,8,2,3,4,5]=>([(0,10),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,10,1,5,6,7,8,9,3,4]=>([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,1,2,5,6,7,8,9,10,3]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[2,3,4,5,6,7,8,10,1,11,9]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(9,10)],11) [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,4,1,5,6,7,8,9,10,11,3]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(9,10)],11) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[2,3,4,5,6,7,8,11,1,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,9,11,2,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,8),(8,10),(9,10)],11) [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[3,1,9,10,8,7,2,4,5,6]=>([(0,1),(1,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) []=>[1]=>([],1) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,1,2,3,4,5,6,7,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8,9,1,2,3,4,5,6,10,7]=>([(0,7),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[10,7,1,2,3,4,5,9,6,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[8,10,1,2,3,4,5,9,6,7]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[8,7,1,2,3,4,5,9,10,6]=>([(0,7),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[10,6,1,2,3,4,9,5,7,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,9),(5,7),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[10,7,1,2,3,4,9,5,6,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[9,10,1,2,3,4,8,5,6,7]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10) [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[9,7,1,2,3,4,8,5,10,6]=>([(0,7),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,6,1,2,3,4,10,9,5,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,5),(4,6),(5,6),(5,7),(6,7),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[10,7,1,2,3,4,8,9,5,6]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[10,9,1,2,3,7,8,4,5,6]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,1,2,3,7,8,9,10,4]=>([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10) [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[10,9,1,2,8,7,3,4,5,6]=>([(0,8),(0,9),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,3,1,9,2,4,5,6,7,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,6),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[10,3,1,5,2,7,4,9,6,8]=>([(0,8),(0,9),(1,7),(1,9),(2,3),(2,4),(2,9),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[10,7,1,9,2,3,4,5,6,8]=>([(0,8),(0,9),(1,7),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,8,1,9,2,3,4,5,6,7]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[9,8,1,10,7,2,3,4,5,6]=>([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10) [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[4,3,1,5,6,7,10,9,2,8]=>([(0,9),(1,9),(2,9),(3,7),(3,8),(4,5),(4,6),(5,6),(5,9),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[10,3,1,5,6,7,8,9,2,4]=>([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[10,4,1,5,6,7,8,9,2,3]=>([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,3,1,5,6,7,8,9,10,2]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10) [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,9,10,1,3,4,5,6,7,8]=>([(0,7),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,3,10,1,2,4,5,6,7,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[10,7,9,1,2,3,4,5,6,8]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,9,8,1,2,3,4,5,6,7]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[6,7,8,1,2,3,4,9,10,5]=>([(0,9),(1,9),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[7,8,9,1,6,2,3,4,10,5]=>([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5,3,4,1,6,10,8,9,2,7]=>([(0,9),(1,5),(1,6),(1,8),(2,3),(2,4),(2,7),(3,7),(3,9),(4,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,3,4,1,6,7,8,9,10,2]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,10,5,1,7,4,9,6,8]=>([(0,8),(1,8),(2,7),(2,9),(3,4),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,7,8,9,1,3,4,5,10,6]=>([(0,6),(1,5),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,8,9,10,1,7,3,4,5,6]=>([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[10,8,4,9,1,2,3,5,6,7]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[7,8,9,5,1,2,3,4,10,6]=>([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10) [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[7,8,9,6,1,2,3,4,10,5]=>([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[10,3,4,5,1,7,8,9,2,6]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[6,3,4,5,1,7,8,9,10,2]=>([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[2,3,10,5,6,1,8,9,4,7]=>([(0,8),(1,8),(2,3),(2,4),(2,9),(3,7),(3,9),(4,7),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>[2,8,9,10,6,1,3,4,5,7]=>([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,8,9,10,7,1,3,4,5,6]=>([(0,5),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]=>[8,3,4,9,10,1,2,5,6,7]=>([(0,5),(0,6),(0,9),(1,5),(1,6),(1,9),(2,5),(2,6),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10) [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]=>[8,9,4,5,10,1,2,3,6,7]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[8,9,7,5,6,1,2,3,10,4]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[9,7,4,5,6,1,8,2,10,3]=>([(0,8),(1,6),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[10,3,4,7,6,1,8,9,2,5]=>([(0,5),(0,8),(0,9),(1,5),(1,8),(1,9),(2,4),(2,8),(2,9),(3,4),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[7,3,4,5,6,1,8,9,10,2]=>([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[2,3,4,5,10,7,1,9,6,8]=>([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[2,9,10,8,6,7,1,3,4,5]=>([(0,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[2,10,8,5,6,7,1,9,3,4]=>([(0,7),(1,5),(1,6),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>[9,3,8,5,6,7,1,2,10,4]=>([(0,7),(1,5),(1,6),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[9,8,4,5,6,7,1,2,10,3]=>([(0,7),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[10,3,4,5,6,7,1,9,2,8]=>([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[10,3,8,5,6,7,1,9,2,4]=>([(0,6),(0,8),(0,9),(1,5),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[8,3,4,5,6,7,1,9,10,2]=>([(0,9),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[2,10,4,5,6,7,9,1,3,8]=>([(0,8),(1,6),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[2,10,4,9,6,7,8,1,3,5]=>([(0,8),(1,6),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[2,10,9,5,6,7,8,1,3,4]=>([(0,7),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,9,4,5,6,7,8,1,10,3]=>([(0,9),(1,8),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[10,3,4,5,6,7,9,1,2,8]=>([(0,6),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[10,9,4,5,6,7,8,1,2,3]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[9,3,4,5,6,7,8,1,10,2]=>([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[2,3,4,5,6,7,10,9,1,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[2,3,4,5,6,10,8,9,1,7]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[2,3,4,5,10,7,8,9,1,6]=>([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[2,3,4,10,6,7,8,9,1,5]=>([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[2,3,10,5,6,7,8,9,1,4]=>([(0,9),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2,10,4,5,6,7,8,9,1,3]=>([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[10,3,4,5,6,7,8,9,1,2]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,1,2,3,4,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[9,1,2,3,4,5,6,7,10,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[10,1,2,3,4,5,6,9,7,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[10,1,2,3,4,5,9,6,7,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[9,1,2,3,4,10,5,6,7,8]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[10,1,2,3,9,4,5,6,7,8]=>([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,1,2,9,3,4,5,6,7,8]=>([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,1,10,2,3,4,5,6,7,8]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[10,1,2,3,4,5,6,7,8,11,9]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[8,1,2,3,4,5,6,9,10,7]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[11,1,2,3,4,5,6,7,10,8,9]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,1,2,3,4,5,10,9,6,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8)],10) [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[11,1,2,3,4,5,6,10,7,8,9]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[6,1,2,3,4,10,9,5,7,8]=>([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8)],10) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[10,1,2,3,4,5,11,6,7,8,9]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[5,1,2,3,9,10,4,6,7,8]=>([(0,7),(1,7),(2,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[11,1,2,3,4,10,5,6,7,8,9]=>([(0,10),(1,10),(2,10),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,2,10,9,3,5,6,7,8]=>([(0,7),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10) [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[11,1,2,3,10,4,5,6,7,8,9]=>([(0,10),(1,10),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,10,9,2,4,5,6,7,8]=>([(0,6),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(7,8),(7,9),(8,9)],10) [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,1,2,11,3,4,5,6,7,8,9]=>([(0,10),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[11,1,10,2,3,4,5,6,7,8,9]=>([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[11,10,1,2,3,4,5,6,7,8,9]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[11,1,2,3,4,5,6,7,8,9,12,10]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[12,1,2,3,4,5,6,7,8,11,9,10]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12) [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[7,1,2,3,4,5,8,9,10,6]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10) [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,11,10,1,3,4,5,6,7,8,9]=>([(0,8),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12) [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[10,1,2,9,6,3,4,5,7,8]=>([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[6,1,2,3,4,7,8,9,10,5]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10) [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,1,10,9,2,3,4,5,6,8]=>([(0,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10) [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[11,10,5,1,2,3,4,6,7,8,9]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,1,8,9,2,3,4,5,6,7]=>([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,1,2,3,6,7,8,9,10,4]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10) [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[8,1,9,10,7,2,3,4,5,6]=>([(0,8),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[11,1,10,9,2,3,4,5,6,7,8]=>([(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[10,11,8,1,2,3,4,5,6,7,9]=>([(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11) [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[8,1,9,10,11,2,3,4,5,6,7]=>([(0,10),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10)],11) [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,1,2,3,4,5,9,6,10,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,6),(6,8),(7,8),(7,9)],10) [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[5,1,2,3,10,4,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(7,9)],10) [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,2,10,3,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(7,9)],10) [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,9,2,4,5,6,7,10,8]=>([(0,9),(1,9),(2,9),(3,9),(4,7),(5,6),(6,9),(7,8),(8,9)],10) [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,10,4,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(5,7),(6,8),(6,9),(7,8)],10) [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,5,2,7,4,9,6,10,8]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10) [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,10,2,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,8),(8,9)],10) [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[3,1,4,5,6,7,9,2,10,8]=>([(0,9),(1,9),(2,9),(3,9),(4,7),(5,6),(6,9),(7,8),(8,9)],10) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,10,1,3,4,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,9,1,3,4,5,6,7,10,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10) [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,8,1,3,4,5,6,10,7,9]=>([(0,9),(1,9),(2,9),(3,9),(4,7),(5,6),(6,9),(7,8),(8,9)],10) [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,5,1,3,6,7,8,9,10,4]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,8),(8,9)],10) [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,4,1,6,3,8,5,10,7,9]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,4,1,5,6,7,8,10,3,9]=>([(0,9),(1,9),(2,9),(3,9),(4,7),(5,6),(6,9),(7,8),(8,9)],10) [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,10,1,4,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10) [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,5,1,6,7,8,9,10,4]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(7,9)],10) [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,10,1,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10) [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,6,1,7,8,9,10,5]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(7,9)],10) [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,10,1,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10) [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,7,1,8,9,10,6]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(7,9)],10) [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,10,1,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[2,3,4,5,6,8,1,9,10,7]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(7,9)],10) [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[7,1,2,3,4,5,11,6,8,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(8,10)],11) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,11,1,3,4,5,6,7,8,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,10,1,3,4,5,6,7,8,11,9]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,8),(8,10),(9,10)],11) [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,11,1,4,5,6,7,8,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11) [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,5,1,6,7,8,9,10,11,4]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(8,10)],11) [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,11,1,5,6,7,8,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(9,10)],11) [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,6,1,7,8,9,10,11,5]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(8,10)],11) [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,11,1,6,7,8,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(9,10)],11) [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,7,1,8,9,10,11,6]=>([(0,10),(1,10),(2,10),(3,10),(4,9),(5,9),(6,9),(7,9),(8,9),(8,10)],11) [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,11,1,7,8,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(9,10)],11) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,6,8,1,9,10,11,7]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(8,10)],11) [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,11,1,8,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(9,10)],11) [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[2,3,4,5,6,7,9,1,10,11,8]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(8,10)],11) [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,3,1,2,4,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[5,10,1,2,3,4,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[10,7,1,2,3,4,5,6,8,9]=>([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,10,1,2,3,4,5,6,7,9]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,1,10,2,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8)],10) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[11,9,1,2,3,4,5,6,7,8,10]=>([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[8,9,10,7,6,1,2,3,4,11,5]=>([(0,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,9,10,11,8,7,1,3,4,5,6]=>([(0,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[8,9,10,11,7,1,2,3,4,5,12,6]=>([(0,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12) [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,11,6]=>([(0,6),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10)],11) [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,8,9,10,11,1,3,4,5,6,7]=>([(0,6),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10)],11) [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,9,10,11,12,8,1,3,4,5,6,7]=>([(0,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,12,1,3,4,5,6,7,8,9,10,11]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12) [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,10,1,3,4,5,6,9,7,8]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[10,9,1,2,3,4,5,6,7,11,8]=>([(0,8),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[10,3,4,5,6,7,8,9,1,11,2]=>([(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2,11,4,5,6,7,8,9,10,1,3]=>([(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[11,3,4,5,6,7,8,9,10,1,12,2]=>([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12) [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[10,9,4,5,6,7,8,1,2,11,3]=>([(0,8),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[2,11,10,5,6,7,8,9,1,3,4]=>([(0,8),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[2,12,4,5,6,7,8,9,10,11,1,3]=>([(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,11,1,3,4,5,6,7,10,8,9]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,6),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[10,3,1,2,4,5,6,9,7,8]=>([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10) [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,10,2,4,5,6,9,7,8]=>([(0,9),(1,9),(2,9),(3,6),(4,8),(4,9),(5,8),(5,9),(6,7),(7,9),(8,9)],10) [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[9,3,1,2,4,5,6,7,10,8]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[10,7,8,1,2,3,4,5,6,9]=>([(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[6,7,10,1,2,3,4,5,8,9]=>([(0,9),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[6,10,5,1,2,3,4,7,8,9]=>([(0,9),(1,9),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[10,5,4,1,2,3,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,3,4,1,2,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[4,3,1,5,6,7,8,9,10,11,2]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(7,9),(8,9),(8,10),(9,10)],11) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[2,3,4,5,6,7,8,11,10,1,9]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(7,9),(8,9),(8,10),(9,10)],11) [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[2,3,4,5,6,7,8,9,12,11,1,10]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12) [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[11,3,4,5,6,7,8,10,1,2,9]=>([(0,7),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(9,10)],11) [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[2,3,4,5,10,7,1,6,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,10,6,1,5,7,8,9]=>([(0,9),(1,9),(2,9),(3,8),(4,8),(5,8),(6,7),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,10,5,1,4,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,7),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,10,4,1,3,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[11,3,4,5,6,7,8,9,10,1,2]=>([(0,8),(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,10),(9,10)],11) [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,3,4,5,6,7,8,1,10,11,2]=>([(0,10),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[8,3,4,5,6,7,1,9,10,11,2]=>([(0,10),(1,10),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,3,4,5,6,1,8,9,10,11,2]=>([(0,10),(1,10),(2,10),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,3,4,5,1,7,8,9,10,11,2]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,3,4,1,6,7,8,9,10,11,2]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,7,9,1,2,3,4,5,10,8]=>([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,8,1,9,10,3,4,5,6,7]=>([(0,1),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,7,1,10,2,3,4,5,6,9]=>([(0,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(8,9)],10) [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,11,1,9,2,3,4,5,6,7,8]=>([(0,9),(0,10),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11) [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[12,3,4,5,6,7,8,9,10,11,1,2]=>([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12) [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,3,1,2,6,7,8,9,10,4]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(7,8),(8,9)],10) [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,3,4,1,2,7,8,9,10,5]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,3,4,5,1,2,8,9,10,6]=>([(0,6),(1,6),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[8,3,4,5,6,1,2,9,10,7]=>([(0,6),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[10,1,5,2,3,4,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[10,1,2,5,3,4,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[11,1,2,3,4,5,8,6,7,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[11,1,2,3,4,5,9,6,7,8,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[5,9,1,2,3,4,6,7,10,8]=>([(0,7),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9)],10) [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,10,1,5,3,4,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[11,10,1,5,2,3,4,6,7,8,9]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[5,11,1,2,10,3,4,6,7,8,9]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,8),(4,10),(5,8),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(9,10)],11) [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[5,11,1,2,3,10,4,6,7,8,9]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,8),(4,10),(5,8),(5,10),(6,8),(6,10),(7,8),(7,9),(7,10),(9,10)],11) [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[9,1,10,11,8,7,2,3,4,5,6]=>([(0,8),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11) [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,8,9,10,2,4,5,6,7]=>([(0,1),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,10,8,1,3,4,5,6,7,9]=>([(0,9),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[9,1,8,2,3,4,5,6,10,7]=>([(0,9),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[9,7,1,2,3,4,5,6,10,8]=>([(0,7),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,10,1,9,3,4,5,6,7,8]=>([(0,7),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[8,6,1,2,3,4,5,9,10,7]=>([(0,7),(1,7),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[8,9,1,2,3,4,5,6,10,11,7]=>([(0,8),(1,8),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,7,1,2,3,4,8,9,10,6]=>([(0,8),(1,8),(2,8),(3,7),(3,9),(4,7),(4,9),(5,7),(5,9),(6,7),(6,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[8,11,1,2,3,4,5,9,10,6,7]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,7),(5,8),(5,10),(6,7),(6,8),(6,10),(7,9),(7,10),(8,9),(8,10)],11) [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[10,4,1,2,3,7,8,9,5,6]=>([(0,6),(0,9),(1,6),(1,9),(2,6),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[10,11,1,2,3,4,8,9,5,6,7]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[10,3,1,2,9,7,8,4,5,6]=>([(0,2),(0,9),(1,2),(1,9),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[10,11,1,2,3,9,8,4,5,6,7]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11) [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,9,1,10,8,7,3,4,5,6]=>([(0,1),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10) [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[10,9,1,2,11,8,3,4,5,6,7]=>([(0,9),(0,10),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(8,9),(8,10),(9,10)],11) [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[9,8,1,10,11,2,3,4,5,6,7]=>([(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(9,10)],11) [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[11,8,9,10,1,2,3,4,5,6,7]=>([(0,7),(0,8),(0,9),(0,10),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,10),(8,10),(9,10)],11) [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,6,1,5,3,7,8,9,10,4]=>([(0,9),(1,9),(2,9),(3,9),(4,5),(5,8),(6,7),(6,8),(7,8),(7,9),(8,9)],10) [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[5,3,4,1,6,7,9,2,10,8]=>([(0,9),(1,9),(2,3),(3,4),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(8,9)],10) [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,8,1,6,7,4,9,10,5]=>([(0,8),(1,8),(2,4),(3,4),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,3,4,5,1,8,2,9,10,7]=>([(0,6),(1,6),(2,6),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(7,8),(8,9)],10) [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,4,10,1,7,8,9,5,6]=>([(0,6),(1,6),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[2,3,4,5,6,10,1,9,7,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(6,7),(6,8),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[2,3,4,5,6,7,11,9,10,1,8]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,5,10,1,8,9,6,7]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[2,3,4,5,6,11,8,9,10,1,7]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[2,3,4,5,11,7,8,9,10,1,6]=>([(0,10),(1,10),(2,10),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,10,1,6,7,8,9,4,5]=>([(0,6),(1,6),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[2,3,4,11,6,7,8,9,10,1,5]=>([(0,10),(1,10),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[2,3,11,5,6,7,8,9,10,1,4]=>([(0,10),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(9,10)],11) [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[4,1,2,10,3,5,9,6,7,8]=>([(0,9),(1,7),(2,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,7),(6,9),(8,9)],10) [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,10,4,5,6,7,8,9,1,11,3]=>([(0,10),(1,9),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10)],11) [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[6,1,10,2,3,4,5,9,7,8]=>([(0,8),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,9),(6,7),(6,9),(7,9)],10) [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,5,2,7,4,9,6,11,8,12,10]=>([(0,11),(1,10),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12) [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[8,9,10,11,12,1,2,3,4,5,6,7]=>([(0,7),(0,8),(0,9),(0,10),(0,11),(1,7),(1,8),(1,9),(1,10),(1,11),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12) [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,10,4,1,6,3,8,5,7,9]=>([(0,8),(1,9),(2,7),(2,9),(3,4),(3,5),(3,9),(4,6),(4,9),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[2,3,4,10,6,7,1,5,8,9]=>([(0,8),(1,8),(2,8),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]=>[2,3,10,5,6,1,4,7,8,9]=>([(0,9),(1,9),(2,9),(3,8),(4,8),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)