Identifier
Values
=>
Cc0020;cc-rep-1 Cc0020;cc-rep
[2,1]=>([(0,1)],2)=>([],1)=>1 [1,3,2]=>([(1,2)],3)=>([],1)=>1 [2,1,3]=>([(1,2)],3)=>([],1)=>1 [2,3,1]=>([(0,2),(1,2)],3)=>([(0,1)],2)=>2 [3,1,2]=>([(0,2),(1,2)],3)=>([(0,1)],2)=>2 [3,2,1]=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,4,3]=>([(2,3)],4)=>([],1)=>1 [1,3,2,4]=>([(2,3)],4)=>([],1)=>1 [1,3,4,2]=>([(1,3),(2,3)],4)=>([(0,1)],2)=>2 [1,4,2,3]=>([(1,3),(2,3)],4)=>([(0,1)],2)=>2 [1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>3 [2,1,3,4]=>([(2,3)],4)=>([],1)=>1 [2,1,4,3]=>([(0,3),(1,2)],4)=>([],2)=>1 [2,3,1,4]=>([(1,3),(2,3)],4)=>([(0,1)],2)=>2 [2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>3 [2,4,1,3]=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(1,2)],3)=>2 [3,1,2,4]=>([(1,3),(2,3)],4)=>([(0,1)],2)=>2 [3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>([(0,2),(1,2)],3)=>2 [3,2,1,4]=>([(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>3 [3,4,1,2]=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)=>3 [4,1,2,3]=>([(0,3),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,3,5,4]=>([(3,4)],5)=>([],1)=>1 [1,2,4,3,5]=>([(3,4)],5)=>([],1)=>1 [1,2,4,5,3]=>([(2,4),(3,4)],5)=>([(0,1)],2)=>2 [1,2,5,3,4]=>([(2,4),(3,4)],5)=>([(0,1)],2)=>2 [1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>3 [1,3,2,4,5]=>([(3,4)],5)=>([],1)=>1 [1,3,2,5,4]=>([(1,4),(2,3)],5)=>([],2)=>1 [1,3,4,2,5]=>([(2,4),(3,4)],5)=>([(0,1)],2)=>2 [1,3,4,5,2]=>([(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>3 [1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>([(0,2),(1,2)],3)=>2 [1,4,2,3,5]=>([(2,4),(3,4)],5)=>([(0,1)],2)=>2 [1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5)=>([(0,2),(1,2)],3)=>2 [1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>3 [1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,2),(0,3),(1,2),(1,3)],4)=>3 [1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>3 [2,1,3,4,5]=>([(3,4)],5)=>([],1)=>1 [2,1,3,5,4]=>([(1,4),(2,3)],5)=>([],2)=>1 [2,1,4,3,5]=>([(1,4),(2,3)],5)=>([],2)=>1 [2,1,4,5,3]=>([(0,1),(2,4),(3,4)],5)=>([(1,2)],3)=>2 [2,1,5,3,4]=>([(0,1),(2,4),(3,4)],5)=>([(1,2)],3)=>2 [2,1,5,4,3]=>([(0,1),(2,3),(2,4),(3,4)],5)=>([(1,2),(1,3),(2,3)],4)=>3 [2,3,1,4,5]=>([(2,4),(3,4)],5)=>([(0,1)],2)=>2 [2,3,1,5,4]=>([(0,1),(2,4),(3,4)],5)=>([(1,2)],3)=>2 [2,3,4,1,5]=>([(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>3 [2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [2,4,1,3,5]=>([(1,4),(2,3),(3,4)],5)=>([(0,2),(1,2)],3)=>2 [2,4,1,5,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,3),(1,2),(2,3)],4)=>2 [3,1,2,4,5]=>([(2,4),(3,4)],5)=>([(0,1)],2)=>2 [3,1,2,5,4]=>([(0,1),(2,4),(3,4)],5)=>([(1,2)],3)=>2 [3,1,4,2,5]=>([(1,4),(2,3),(3,4)],5)=>([(0,2),(1,2)],3)=>2 [3,1,5,2,4]=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,3),(1,2),(2,3)],4)=>2 [3,2,1,4,5]=>([(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>3 [3,2,1,5,4]=>([(0,1),(2,3),(2,4),(3,4)],5)=>([(1,2),(1,3),(2,3)],4)=>3 [3,4,1,2,5]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,2),(0,3),(1,2),(1,3)],4)=>3 [4,1,2,3,5]=>([(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>3 [5,1,2,3,4]=>([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [1,2,3,4,6,5]=>([(4,5)],6)=>([],1)=>1 [1,2,3,5,4,6]=>([(4,5)],6)=>([],1)=>1 [1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>([(0,1)],2)=>2 [1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>([(0,1)],2)=>2 [1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,4,3,5,6]=>([(4,5)],6)=>([],1)=>1 [1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>([],2)=>1 [1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>([(0,1)],2)=>2 [1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>([(0,2),(1,2)],3)=>2 [1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>([(0,1)],2)=>2 [1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>([(0,2),(1,2)],3)=>2 [1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(0,3),(1,2),(1,3)],4)=>3 [1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>3 [1,3,2,4,5,6]=>([(4,5)],6)=>([],1)=>1 [1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>([],2)=>1 [1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>([],2)=>1 [1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>3 [1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>([(0,1)],2)=>2 [1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>3 [1,3,4,5,6,2]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,2),(1,2)],3)=>2 [1,3,5,2,6,4]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,3),(1,2),(2,3)],4)=>2 [1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>([(0,1)],2)=>2 [1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,2),(1,2)],3)=>2 [1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,3),(1,2),(2,3)],4)=>2 [1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>3 [1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>3 [1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(0,3),(1,2),(1,3)],4)=>3 [1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>3 [1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [2,1,3,4,5,6]=>([(4,5)],6)=>([],1)=>1 [2,1,3,4,6,5]=>([(2,5),(3,4)],6)=>([],2)=>1 [2,1,3,5,4,6]=>([(2,5),(3,4)],6)=>([],2)=>1 [2,1,3,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [2,1,3,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [2,1,3,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>3 [2,1,4,3,5,6]=>([(2,5),(3,4)],6)=>([],2)=>1 [2,1,4,3,6,5]=>([(0,5),(1,4),(2,3)],6)=>([],3)=>1 [2,1,4,5,3,6]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [2,1,4,5,6,3]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>3 [2,1,4,6,3,5]=>([(0,1),(2,5),(3,4),(4,5)],6)=>([(1,3),(2,3)],4)=>2 [2,1,5,3,4,6]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [2,1,5,3,6,4]=>([(0,1),(2,5),(3,4),(4,5)],6)=>([(1,3),(2,3)],4)=>2 [2,1,5,4,3,6]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>3 [2,1,5,6,3,4]=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [2,1,6,3,4,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>3 [2,3,1,4,5,6]=>([(3,5),(4,5)],6)=>([(0,1)],2)=>2 [2,3,1,4,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [2,3,1,5,4,6]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [2,3,1,5,6,4]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,3),(1,2)],4)=>2 [2,3,1,6,4,5]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,3),(1,2)],4)=>2 [2,3,1,6,5,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [2,3,4,1,5,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>3 [2,3,4,1,6,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>3 [2,3,4,5,1,6]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5 [2,4,1,3,5,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,2),(1,2)],3)=>2 [2,4,1,3,6,5]=>([(0,1),(2,5),(3,4),(4,5)],6)=>([(1,3),(2,3)],4)=>2 [2,4,1,5,3,6]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,3),(1,2),(2,3)],4)=>2 [2,4,1,6,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>2 [3,1,2,4,5,6]=>([(3,5),(4,5)],6)=>([(0,1)],2)=>2 [3,1,2,4,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [3,1,2,5,4,6]=>([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>2 [3,1,2,5,6,4]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,3),(1,2)],4)=>2 [3,1,2,6,4,5]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,3),(1,2)],4)=>2 [3,1,2,6,5,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,1,4,2,5,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,2),(1,2)],3)=>2 [3,1,4,2,6,5]=>([(0,1),(2,5),(3,4),(4,5)],6)=>([(1,3),(2,3)],4)=>2 [3,1,5,2,4,6]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,3),(1,2),(2,3)],4)=>2 [3,1,5,2,6,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>2 [3,2,1,4,5,6]=>([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>3 [3,2,1,4,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>3 [3,2,1,5,4,6]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>3 [3,2,1,5,6,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,2,1,6,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>3 [3,4,1,2,5,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(0,3),(1,2),(1,3)],4)=>3 [3,4,1,2,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [4,1,2,3,5,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>3 [4,1,2,3,6,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>3 [5,1,2,3,4,6]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [6,1,2,3,4,5]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5 [1,2,3,4,5,7,6]=>([(5,6)],7)=>([],1)=>1 [1,2,3,4,6,5,7]=>([(5,6)],7)=>([],1)=>1 [1,2,3,4,6,7,5]=>([(4,6),(5,6)],7)=>([(0,1)],2)=>2 [1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)=>([(0,1)],2)=>2 [1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,3,5,4,6,7]=>([(5,6)],7)=>([],1)=>1 [1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>([],2)=>1 [1,2,3,5,6,4,7]=>([(4,6),(5,6)],7)=>([(0,1)],2)=>2 [1,2,3,5,6,7,4]=>([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,3,5,7,4,6]=>([(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>2 [1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)=>([(0,1)],2)=>2 [1,2,3,6,4,7,5]=>([(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>2 [1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>3 [1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,4,3,5,6,7]=>([(5,6)],7)=>([],1)=>1 [1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>([],2)=>1 [1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>([],2)=>1 [1,2,4,3,6,7,5]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [1,2,4,5,3,6,7]=>([(4,6),(5,6)],7)=>([(0,1)],2)=>2 [1,2,4,5,3,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,2,4,5,6,3,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,4,5,6,7,3]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [1,2,4,6,3,5,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>2 [1,2,4,6,3,7,5]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,3)],4)=>2 [1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)=>([(0,1)],2)=>2 [1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,2,5,3,6,4,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>2 [1,2,5,3,7,4,6]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,3)],4)=>2 [1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>3 [1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [1,3,2,4,5,6,7]=>([(5,6)],7)=>([],1)=>1 [1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>([],2)=>1 [1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>([],2)=>1 [1,3,2,4,6,7,5]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>([],2)=>1 [1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>([],3)=>1 [1,3,2,5,6,4,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,3,2,5,6,7,4]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [1,3,2,5,7,4,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,3,2,6,4,7,5]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [1,3,4,2,5,6,7]=>([(4,6),(5,6)],7)=>([(0,1)],2)=>2 [1,3,4,2,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,3,4,2,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,3,4,2,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [1,3,4,2,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [1,3,4,5,2,6,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [1,3,4,5,2,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [1,3,4,5,6,2,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [1,3,4,5,6,7,2]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5 [1,3,5,2,4,6,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>2 [1,3,5,2,4,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [1,3,5,2,6,4,7]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,3)],4)=>2 [1,3,5,2,7,4,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>2 [1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)=>([(0,1)],2)=>2 [1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [1,4,2,3,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [1,4,2,5,3,6,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>2 [1,4,2,5,3,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [1,4,2,6,3,5,7]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,3)],4)=>2 [1,4,2,6,3,7,5]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>2 [1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>3 [1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>3 [1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5 [2,1,3,4,5,6,7]=>([(5,6)],7)=>([],1)=>1 [2,1,3,4,5,7,6]=>([(3,6),(4,5)],7)=>([],2)=>1 [2,1,3,4,6,5,7]=>([(3,6),(4,5)],7)=>([],2)=>1 [2,1,3,4,6,7,5]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [2,1,3,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [2,1,3,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [2,1,3,5,4,6,7]=>([(3,6),(4,5)],7)=>([],2)=>1 [2,1,3,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>([],3)=>1 [2,1,3,5,6,4,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [2,1,3,5,6,7,4]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [2,1,3,5,7,4,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [2,1,3,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [2,1,3,6,4,7,5]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [2,1,3,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [2,1,3,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [2,1,3,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [2,1,4,3,5,6,7]=>([(3,6),(4,5)],7)=>([],2)=>1 [2,1,4,3,5,7,6]=>([(1,6),(2,5),(3,4)],7)=>([],3)=>1 [2,1,4,3,6,5,7]=>([(1,6),(2,5),(3,4)],7)=>([],3)=>1 [2,1,4,3,6,7,5]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([(2,3)],4)=>2 [2,1,4,3,7,5,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([(2,3)],4)=>2 [2,1,4,3,7,6,5]=>([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,4)],5)=>3 [2,1,4,5,3,6,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [2,1,4,5,3,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([(2,3)],4)=>2 [2,1,4,5,6,3,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [2,1,4,5,6,7,3]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4 [2,1,4,6,3,5,7]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [2,1,4,6,3,7,5]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,4)],5)=>2 [2,1,5,3,4,6,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [2,1,5,3,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([(2,3)],4)=>2 [2,1,5,3,6,4,7]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [2,1,5,3,7,4,6]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,4)],5)=>2 [2,1,5,4,3,6,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [2,1,5,4,3,7,6]=>([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,4)],5)=>3 [2,1,5,6,3,4,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [2,1,6,3,4,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [2,1,7,3,4,5,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4 [2,3,1,4,5,6,7]=>([(4,6),(5,6)],7)=>([(0,1)],2)=>2 [2,3,1,4,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [2,3,1,4,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [2,3,1,4,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [2,3,1,4,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [2,3,1,4,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [2,3,1,5,4,6,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [2,3,1,5,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([(2,3)],4)=>2 [2,3,1,5,6,4,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [2,3,1,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [2,3,1,5,7,4,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(2,4),(3,4)],5)=>2 [2,3,1,6,4,5,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [2,3,1,6,4,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(2,4),(3,4)],5)=>2 [2,3,1,6,5,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [2,3,1,6,7,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>3 [2,3,1,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [2,3,4,1,5,6,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [2,3,4,1,5,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [2,3,4,1,6,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [2,3,4,1,6,7,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [2,3,4,1,7,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [2,3,4,1,7,6,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>3 [2,3,4,5,1,6,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [2,3,4,5,1,7,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4 [2,3,4,5,6,1,7]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5 [2,3,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6 [2,4,1,3,5,6,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>2 [2,4,1,3,5,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [2,4,1,3,6,5,7]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [2,4,1,3,6,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(2,4),(3,4)],5)=>2 [2,4,1,3,7,5,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(2,4),(3,4)],5)=>2 [2,4,1,3,7,6,5]=>([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>3 [2,4,1,5,3,6,7]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,3)],4)=>2 [2,4,1,5,3,7,6]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,4)],5)=>2 [2,4,1,6,3,5,7]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>2 [2,4,1,6,3,7,5]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>2 [3,1,2,4,5,6,7]=>([(4,6),(5,6)],7)=>([(0,1)],2)=>2 [3,1,2,4,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [3,1,2,4,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [3,1,2,4,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [3,1,2,4,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [3,1,2,4,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,1,2,5,4,6,7]=>([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>2 [3,1,2,5,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([(2,3)],4)=>2 [3,1,2,5,6,4,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [3,1,2,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,1,2,5,7,4,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(2,4),(3,4)],5)=>2 [3,1,2,6,4,5,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>2 [3,1,2,6,4,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(2,4),(3,4)],5)=>2 [3,1,2,6,5,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,1,2,6,7,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>3 [3,1,2,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,1,4,2,5,6,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>2 [3,1,4,2,5,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [3,1,4,2,6,5,7]=>([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>2 [3,1,4,2,6,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(2,4),(3,4)],5)=>2 [3,1,4,2,7,5,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(2,4),(3,4)],5)=>2 [3,1,4,2,7,6,5]=>([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>3 [3,1,5,2,4,6,7]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,3)],4)=>2 [3,1,5,2,4,7,6]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,4)],5)=>2 [3,1,5,2,6,4,7]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>2 [3,1,5,2,7,4,6]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>2 [3,2,1,4,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [3,2,1,4,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [3,2,1,4,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [3,2,1,4,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,2,1,4,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,2,1,4,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>3 [3,2,1,5,4,6,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [3,2,1,5,4,7,6]=>([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,4)],5)=>3 [3,2,1,5,6,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,2,1,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>3 [3,2,1,5,7,4,6]=>([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>3 [3,2,1,6,4,5,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [3,2,1,6,4,7,5]=>([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>3 [3,2,1,6,5,4,7]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>3 [3,2,1,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>3 [3,4,1,2,5,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>3 [3,4,1,2,5,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [3,4,1,2,6,5,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [3,4,1,2,6,7,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>3 [3,4,1,2,7,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>3 [4,1,2,3,5,6,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>3 [4,1,2,3,5,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [4,1,2,3,6,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>3 [4,1,2,3,6,7,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [4,1,2,3,7,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>3 [4,1,2,3,7,6,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>3 [5,1,2,3,4,6,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4 [5,1,2,3,4,7,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4 [6,1,2,3,4,5,7]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5 [7,1,2,3,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
search for individual values
searching the database for the individual values of this statistic
Description
The hat guessing number of a graph.
Suppose that each vertex of a graph corresponds to a player, wearing a hat whose color is arbitrarily chosen from a set of $q$ possible colors. Each player can see the hat colors of his neighbors, but not his own hat color. All of the players are asked to guess their own hat colors simultaneously, according to a predetermined guessing strategy and the hat colors they see, where no communication between them is allowed. The hat guessing number $HG(G)$ of a graph $G$ is the largest integer $q$ such that there exists a guessing strategy guaranteeing at least one correct guess for any hat assignment of $q$ possible colors.
Because it suffices that a single player guesses correctly, the hat guessing number of a graph is the maximum of the hat guessing numbers of its connected components.
Map
line graph
Description
The line graph of a graph.
Let $G$ be a graph with edge set $E$. Then its line graph is the graph with vertex set $E$, such that two vertices $e$ and $f$ are adjacent if and only if they are incident to a common vertex in $G$.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.