Identifier
Images
=>
Cc0005;cc-rep-0Cc0014;cc-rep-1Cc0020;cc-rep-2
[1,0]=>([],1)=>([],1)
[1,0,1,0]=>([(0,1)],2)=>([],2)
[1,1,0,0]=>([(0,1)],2)=>([],2)
[1,0,1,0,1,0]=>([(0,2),(2,1)],3)=>([],3)
[1,0,1,1,0,0]=>([(0,2),(2,1)],3)=>([],3)
[1,1,0,0,1,0]=>([(0,2),(2,1)],3)=>([],3)
[1,1,0,1,0,0]=>([(0,2),(2,1)],3)=>([],3)
[1,1,1,0,0,0]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([(2,3)],4)
[1,0,1,0,1,0,1,0]=>([(0,3),(2,1),(3,2)],4)=>([],4)
[1,0,1,0,1,1,0,0]=>([(0,3),(2,1),(3,2)],4)=>([],4)
[1,0,1,1,0,0,1,0]=>([(0,3),(2,1),(3,2)],4)=>([],4)
[1,0,1,1,0,1,0,0]=>([(0,3),(2,1),(3,2)],4)=>([],4)
[1,0,1,1,1,0,0,0]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(3,4)],5)
[1,1,0,0,1,0,1,0]=>([(0,3),(2,1),(3,2)],4)=>([],4)
[1,1,0,0,1,1,0,0]=>([(0,3),(2,1),(3,2)],4)=>([],4)
[1,1,0,1,0,0,1,0]=>([(0,3),(2,1),(3,2)],4)=>([],4)
[1,1,0,1,0,1,0,0]=>([(0,3),(2,1),(3,2)],4)=>([],4)
[1,1,0,1,1,0,0,0]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([(3,4)],5)
[1,1,1,0,0,0,1,0]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(3,4)],5)
[1,1,1,0,0,1,0,0]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([(3,4)],5)
[1,1,1,0,1,0,0,0]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(2,5),(3,4),(4,5)],6)
[1,1,1,1,0,0,0,0]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(2,5),(3,4),(4,5)],6)
[1,0,1,0,1,0,1,0,1,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,0,1,0,1,0,1,1,0,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,0,1,0,1,1,0,0,1,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,0,1,0,1,1,0,1,0,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,0,1,0,1,1,1,0,0,0]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(4,5)],6)
[1,0,1,1,0,0,1,0,1,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,0,1,1,0,0,1,1,0,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,0,1,1,0,1,0,0,1,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,0,1,1,0,1,0,1,0,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,0,1,1,0,1,1,0,0,0]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(4,5)],6)
[1,0,1,1,1,0,0,0,1,0]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(4,5)],6)
[1,0,1,1,1,0,0,1,0,0]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(4,5)],6)
[1,0,1,1,1,0,1,0,0,0]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
[1,0,1,1,1,1,0,0,0,0]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
[1,1,0,0,1,0,1,0,1,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,1,0,0,1,0,1,1,0,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,1,0,0,1,1,0,0,1,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,1,0,0,1,1,0,1,0,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,1,0,0,1,1,1,0,0,0]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(4,5)],6)
[1,1,0,1,0,0,1,0,1,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,1,0,1,0,0,1,1,0,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,1,0,1,0,1,0,0,1,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,1,0,1,0,1,0,1,0,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([],5)
[1,1,0,1,0,1,1,0,0,0]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([(4,5)],6)
[1,1,0,1,1,0,0,0,1,0]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(4,5)],6)
[1,1,0,1,1,0,0,1,0,0]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([(4,5)],6)
[1,1,0,1,1,0,1,0,0,0]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
[1,1,0,1,1,1,0,0,0,0]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>([(3,6),(4,5),(5,6)],7)
[1,1,1,0,0,0,1,0,1,0]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(4,5)],6)
[1,1,1,0,0,0,1,1,0,0]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(4,5)],6)
[1,1,1,0,0,1,0,0,1,0]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(4,5)],6)
[1,1,1,0,0,1,0,1,0,0]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([(4,5)],6)
[1,1,1,0,0,1,1,0,0,0]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(3,6),(4,5)],7)
[1,1,1,0,1,0,0,0,1,0]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>([(3,6),(4,5),(5,6)],7)
[1,1,1,0,1,0,0,1,0,0]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>([(3,6),(4,5),(5,6)],7)
[1,1,1,0,1,0,1,0,0,0]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,0,0,0]=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,0,0,0,1,0]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>([(3,6),(4,5),(5,6)],7)
[1,1,1,1,0,0,0,1,0,0]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>([(3,6),(4,5),(5,6)],7)
[1,1,1,1,0,0,1,0,0,0]=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,1,0,0,0,0]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,1,1,1,1,0,0,0,0,0]=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>([(2,5),(2,8),(3,4),(3,8),(4,7),(5,7),(6,7),(6,8),(7,8)],9)
[1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,0,1,0,1,1,0,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(5,6)],7)
[1,0,1,0,1,1,0,0,1,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,0,1,1,0,0,1,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,0,1,1,0,1,0,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,0,1,1,0,1,1,0,0,0]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(5,6)],7)
[1,0,1,0,1,1,1,0,0,0,1,0]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(5,6)],7)
[1,0,1,0,1,1,1,0,0,1,0,0]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(5,6)],7)
[1,0,1,0,1,1,1,0,1,0,0,0]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(4,7),(5,6),(6,7)],8)
[1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(4,7),(5,6),(6,7)],8)
[1,0,1,1,0,0,1,0,1,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,1,0,0,1,0,1,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,1,0,0,1,1,0,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,1,0,0,1,1,0,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,1,0,0,1,1,1,0,0,0]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(5,6)],7)
[1,0,1,1,0,1,0,0,1,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,1,0,1,0,0,1,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,1,0,1,0,1,0,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,0,1,1,0,1,0,1,1,0,0,0]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(5,6)],7)
[1,0,1,1,0,1,1,0,0,0,1,0]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(5,6)],7)
[1,0,1,1,0,1,1,0,0,1,0,0]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(5,6)],7)
[1,0,1,1,0,1,1,0,1,0,0,0]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(4,7),(5,6),(6,7)],8)
[1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,0,0,0,1,0,1,0]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(5,6)],7)
[1,0,1,1,1,0,0,0,1,1,0,0]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(5,6)],7)
[1,0,1,1,1,0,0,1,0,0,1,0]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(5,6)],7)
[1,0,1,1,1,0,0,1,0,1,0,0]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(5,6)],7)
[1,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(4,7),(5,6)],8)
[1,0,1,1,1,0,1,0,0,0,1,0]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,0,0,1,0,0]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,0,1,0,0,0]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>([(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>([(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)=>([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10)
[1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,0,1,0,1,0,1,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,0,1,0,1,1,0,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,0,1,0,1,1,0,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,0,1,0,1,1,1,0,0,0]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(5,6)],7)
[1,1,0,0,1,1,0,0,1,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,0,1,1,0,0,1,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,0,1,1,0,1,0,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,0,1,1,0,1,0,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,0,1,1,0,1,1,0,0,0]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(5,6)],7)
[1,1,0,0,1,1,1,0,0,0,1,0]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(5,6)],7)
[1,1,0,0,1,1,1,0,0,1,0,0]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(5,6)],7)
[1,1,0,0,1,1,1,0,1,0,0,0]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,0,1,0,0,1,0,1,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,1,0,0,1,0,1,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,1,0,0,1,1,0,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,1,0,0,1,1,0,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,1,0,0,1,1,1,0,0,0]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(5,6)],7)
[1,1,0,1,0,1,0,0,1,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,1,0,1,0,0,1,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,1,0,1,0,1,0,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([],6)
[1,1,0,1,0,1,0,1,1,0,0,0]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([(5,6)],7)
[1,1,0,1,0,1,1,0,0,0,1,0]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(5,6)],7)
[1,1,0,1,0,1,1,0,0,1,0,0]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([(5,6)],7)
[1,1,0,1,0,1,1,0,1,0,0,0]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,0,0,0,1,0,1,0]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(5,6)],7)
[1,1,0,1,1,0,0,0,1,1,0,0]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(5,6)],7)
[1,1,0,1,1,0,0,1,0,0,1,0]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(5,6)],7)
[1,1,0,1,1,0,0,1,0,1,0,0]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([(5,6)],7)
[1,1,0,1,1,0,0,1,1,0,0,0]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(4,7),(5,6)],8)
[1,1,0,1,1,0,1,0,0,0,1,0]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,0,1,0,0,1,0,0]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,0,1,0,1,0,0,0]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>([(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>([(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)=>([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10)
[1,1,1,0,0,0,1,0,1,0,1,0]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(5,6)],7)
[1,1,1,0,0,0,1,0,1,1,0,0]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(5,6)],7)
[1,1,1,0,0,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(5,6)],7)
[1,1,1,0,0,0,1,1,0,1,0,0]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(5,6)],7)
[1,1,1,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>([(4,7),(5,6)],8)
[1,1,1,0,0,1,0,0,1,0,1,0]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(5,6)],7)
[1,1,1,0,0,1,0,0,1,1,0,0]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(5,6)],7)
[1,1,1,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(5,6)],7)
[1,1,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([(5,6)],7)
[1,1,1,0,0,1,0,1,1,0,0,0]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>([(4,7),(5,6)],8)
[1,1,1,0,0,1,1,0,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(4,7),(5,6)],8)
[1,1,1,0,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(4,7),(5,6)],8)
[1,1,1,0,0,1,1,0,1,0,0,0]=>([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)=>([(3,4),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)=>([(3,4),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,0,1,0,1,0]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,0,1,1,0,0]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,0,1,0,0]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,0,0]=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>([(3,4),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,1,0,0,0,1,0]=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,1,1,0,1,0,1,0,0,1,0,0]=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,1,1,0,1,0,1,0,1,0,0,0]=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)=>([(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[1,1,1,0,1,0,1,1,0,0,0,0]=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10)=>([(2,9),(3,8),(4,5),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>([(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>([(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10)=>([(2,9),(3,8),(4,6),(5,7),(6,8),(7,9),(8,9)],10)
[1,1,1,0,1,1,0,1,0,0,0,0]=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)=>([(2,9),(3,8),(4,5),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11)=>([(2,8),(3,4),(3,10),(4,9),(5,9),(5,10),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11)
[1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,0,0,0]=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>([(3,4),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>([(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>([(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,0,1,0,0,0]=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10)=>([(2,9),(3,8),(4,5),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10)=>([(2,9),(3,8),(4,6),(5,7),(6,8),(7,9),(8,9)],10)
[1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,1,0,0,0]=>([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10)=>([(2,9),(3,8),(4,5),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[1,1,1,1,0,1,0,1,0,0,0,0]=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)=>([(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11)=>([(2,8),(3,4),(3,10),(4,9),(5,9),(5,10),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11)
[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10)=>([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10)
[1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10)=>([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10)
[1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,4),(0,5),(1,10),(2,7),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(6,10),(8,9),(9,7),(10,2),(10,9)],11)=>([(2,8),(3,4),(3,10),(4,9),(5,9),(5,10),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11)
[1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,4),(0,5),(1,10),(2,7),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(6,10),(8,9),(9,7),(10,2),(10,9)],11)=>([(2,8),(3,4),(3,10),(4,9),(5,9),(5,10),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11)
[1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)=>([(2,7),(2,11),(3,6),(3,10),(4,8),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)=>([(2,7),(2,11),(3,6),(3,10),(4,8),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)=>([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11)
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)=>([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11)
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)=>([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)=>([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11)
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)=>([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11)
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)=>([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)=>([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13)
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)=>([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([],7)
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([(6,7)],8)
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)=>([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11)
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)=>([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11)
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)=>([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>([(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11)=>([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11)
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11)=>([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11)
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12)=>([(3,9),(4,5),(4,11),(5,10),(6,10),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)=>([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13)
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)=>([(3,8),(3,12),(4,7),(4,11),(5,9),(5,11),(5,12),(6,10),(6,11),(6,12),(7,9),(7,12),(8,10),(8,11),(9,10),(9,11),(10,12),(11,12)],13)
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)=>([(2,11),(3,10),(4,9),(4,10),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)=>([(2,11),(3,10),(4,9),(4,10),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)=>([(2,10),(2,14),(3,9),(3,13),(4,6),(4,9),(4,12),(4,13),(5,7),(5,10),(5,11),(5,14),(6,11),(6,13),(6,14),(7,12),(7,13),(7,14),(8,11),(8,12),(8,13),(8,14),(9,11),(9,14),(10,12),(10,13),(11,12),(11,13),(12,14),(13,14)],15)
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)=>([(2,10),(2,14),(3,9),(3,13),(4,6),(4,9),(4,12),(4,13),(5,7),(5,10),(5,11),(5,14),(6,11),(6,13),(6,14),(7,12),(7,13),(7,14),(8,11),(8,12),(8,13),(8,14),(9,11),(9,14),(10,12),(10,13),(11,12),(11,13),(12,14),(13,14)],15)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)=>([(2,3),(2,11),(2,15),(3,10),(3,14),(4,5),(4,13),(4,14),(5,12),(5,15),(6,12),(6,13),(6,14),(6,15),(7,10),(7,11),(7,14),(7,15),(8,9),(8,10),(8,13),(8,14),(8,15),(9,11),(9,12),(9,14),(9,15),(10,11),(10,12),(10,15),(11,13),(11,14),(12,13),(12,14),(13,15),(14,15)],16)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)=>([(3,12),(4,11),(5,7),(6,8),(7,11),(8,12),(9,10),(9,11),(10,12),(11,12)],13)
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)=>([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14)
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)=>([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15)
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)=>([(3,12),(4,11),(5,7),(6,8),(7,11),(8,12),(9,10),(9,11),(10,12),(11,12)],13)
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)=>([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14)
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)=>([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([],8)
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)=>([(3,12),(4,11),(5,7),(6,8),(7,11),(8,12),(9,10),(9,11),(10,12),(11,12)],13)
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)=>([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14)
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)=>([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15)
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>([(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13)=>([(3,12),(4,11),(5,7),(6,8),(7,11),(8,12),(9,10),(9,11),(10,12),(11,12)],13)
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14)=>([(3,11),(4,10),(5,8),(5,13),(6,9),(6,13),(7,12),(7,13),(8,10),(8,12),(9,11),(9,12),(10,13),(11,13),(12,13)],14)
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15)=>([(3,11),(4,9),(4,14),(5,6),(5,11),(5,13),(6,12),(6,14),(7,12),(7,13),(7,14),(8,10),(8,13),(8,14),(9,10),(9,13),(10,12),(10,14),(11,12),(11,14),(12,13),(13,14)],15)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([],10)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>([],9)
Map
parallelogram poset
Description
The cell poset of the parallelogram polyomino corresponding to the Dyck path.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
This map returns the cell poset of $\gamma(D)$. In this partial order, the cells of the polyomino are the elements and a cell covers those cells with which it shares an edge and which are closer to the origin.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
This map returns the cell poset of $\gamma(D)$. In this partial order, the cells of the polyomino are the elements and a cell covers those cells with which it shares an edge and which are closer to the origin.
Map
incomparability graph
Description
The incomparability graph of a poset.
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